Fa-wang Liu
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Mathematics
Fa-wang Liu's Degrees
- PhD Mathematics University of Science and Technology of China
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(Suggest an Edit or Addition)Fa-wang Liu's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Numerical solution of the space fractional Fokker-Planck equation (2004) (703)
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives (2010) (534)
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term (2009) (501)
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation (2007) (498)
- New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation (2008) (365)
- A Fourier method for the fractional diffusion equation describing sub-diffusion (2007) (355)
- A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation (2014) (302)
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation (2013) (286)
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation (2012) (273)
- Numerical Approximation of a Fractional-In-Space Diffusion Equation, I (2005) (269)
- Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation (2009) (255)
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation (2010) (236)
- Implicit difference approximation for the time fractional diffusion equation (2006) (228)
- Finite difference approximations for the fractional Fokker–Planck equation (2007) (220)
- Time fractional advection-dispersion equation (2003) (212)
- Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions (2011) (206)
- Analytical solution for the time-fractional telegraph equation by the method of separating variables (2008) (199)
- Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term (2009) (199)
- Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy (2015) (197)
- A new fractional finite volume method for solving the fractional diffusion equation (2014) (197)
- Numerical methods and analysis for a class of fractional advection-dispersion models (2012) (183)
- Galerkin finite element approximation of symmetric space-fractional partial differential equations (2010) (178)
- An implicit RBF meshless approach for time fractional diffusion equations (2011) (169)
- Numerical techniques for the variable order time fractional diffusion equation (2012) (167)
- Analytical solutions for the multi-term time–space Caputo–Riesz fractional advection–diffusion equations on a finite domain (2012) (166)
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model (2013) (161)
- Finite difference methods and a fourier analysis for the fractional reaction-subdiffusion equation (2008) (159)
- A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker-Planck Equation (2015) (153)
- Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain (2012) (146)
- Spectral approximations to the fractional integral and derivative (2012) (145)
- Numerical approximations and solution techniques for the space-time Riesz–Caputo fractional advection-diffusion equation (2011) (137)
- The time fractional diffusion equation and the advection-dispersion equation (2005) (125)
- A semi-alternating direction method for a 2-D fractional FitzHugh-Nagumo monodomain model on an approximate irregular domain (2015) (122)
- Stability and convergence of a finite volume method for the space fractional advection-dispersion equation (2014) (118)
- Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method (2007) (116)
- A high-order spectral method for the multi-term time-fractional diffusion equations (2016) (116)
- The fundamental solution and numerical solution of the Riesz fractional advection–dispersion equation (2008) (113)
- Novel techniques in parameter estimation for fractional dynamical models arising from biological systems (2011) (110)
- Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains (2015) (107)
- Finite element approximation for a modified anomalous subdiffusion equation (2011) (106)
- The fundamental solution of the space-time fractional advection-dispersion equation (2005) (101)
- Unsteady natural convection boundary layer heat transfer of fractional Maxwell viscoelastic fluid over a vertical plate (2016) (101)
- Error analysis of an explicit finite difference approximation for the space fractional diffusion equation with insulated ends (2005) (99)
- The analytical solution and numerical solution of the fractional diffusion-wave equation with damping (2012) (98)
- Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation (2012) (96)
- Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation (2005) (96)
- Numerical solution of the time fractional Black-Scholes model governing European options (2016) (94)
- Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation (2010) (93)
- A RBF meshless approach for modeling a fractal mobile/immobile transport model (2014) (87)
- An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation (2010) (87)
- Numerical methods of fractional partial differential equations and applications (2015) (84)
- A fractional-order implicit difference approximation for the space-time fractional diffusion equation (2006) (84)
- Fractional high order methods for the nonlinear fractional ordinary differential equation (2007) (83)
- Stability and convergence of an implicit numerical method for the non-linear fractional reaction–subdiffusion process (2009) (80)
- A novel finite volume method for the Riesz space distributed-order diffusion equation (2017) (79)
- Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation (2015) (79)
- Convection heat and mass transfer of fractional MHD Maxwell fluid in a porous medium with Soret and Dufour effects (2016) (78)
- Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains (2015) (77)
- A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain (2017) (76)
- Finite element method for space-time fractional diffusion equation (2016) (74)
- A novel finite volume method for the Riesz space distributed-order advection–diffusion equation (2017) (73)
- Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains (2016) (72)
- Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media (2014) (71)
- Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains (2019) (70)
- Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation (2014) (69)
- A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction–diffusion equations (2014) (69)
- Numerical simulation for solute transport in fractal porous media (2004) (68)
- The numerical simulation of the tempered fractional Black–Scholes equation for European double barrier option (2016) (67)
- Novel Second-Order Accurate Implicit Numerical Methods for the Riesz Space Distributed-Order Advection-Dispersion Equations (2015) (66)
- A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain (2018) (66)
- Two New Implicit Numerical Methods for the Fractional Cable Equation (2011) (65)
- Some second-order 𝜃 schemes combined with finite element method for nonlinear fractional cable equation (2019) (65)
- Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations (2014) (65)
- Numerical analysis of a new space-time variable fractional order advection-dispersion equation (2014) (63)
- Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux (2016) (62)
- Numerical analysis of the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives (2008) (62)
- A meshless method based on Point Interpolation Method (PIM) for the space fractional diffusion equation (2015) (62)
- MHD flow and heat transfer of fractional Maxwell viscoelastic nanofluid over a moving plate (2016) (61)
- The space-time fractional diffusion equation with Caputo derivatives (2005) (60)
- Novel numerical analysis of multi-term time fractional viscoelastic non-newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid (2017) (58)
- A Fourier method and an extrapolation technique for Stokes' first problem for a heated generalized second grade fluid with fractional derivative (2009) (58)
- Galerkin finite element method and error analysis for the fractional cable equation (2016) (55)
- Unsteady MHD flow and heat transfer of fractional Maxwell viscoelastic nanofluid with Cattaneo heat flux and different particle shapes (2018) (55)
- An implicit numerical method for the two-dimensional fractional percolation equation (2013) (54)
- Time-fractional diffusion equation for signal smoothing (2018) (54)
- Similarity solutions for solute transport in fractal porous media using a time- and scale-dependent dispersivity (2005) (54)
- Numerical methods with fourth-order spatial accuracy for variable-order nonlinear Stokes' first problem for a heated generalized second grade fluid (2011) (54)
- A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients (2015) (52)
- Heat conduction with fractional Cattaneo–Christov upper-convective derivative flux model (2017) (51)
- Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients (2016) (50)
- Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains (2018) (50)
- Numerical methods and analysis for simulating the flow of a generalized Oldroyd-B fluid between two infinite parallel rigid plates (2017) (50)
- Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains (2019) (49)
- Numerical simulation for two-dimensional Riesz space fractional diffusion equations with a nonlinear reaction term (2013) (49)
- A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D (2012) (47)
- Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations (2016) (46)
- Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid (2016) (46)
- Numerical investigation of three types of space and time fractional Bloch-Torrey equations in 2D (2013) (46)
- A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation (2018) (45)
- Numerical simulation for the 3D seepage flow with fractional derivatives in porous media (2008) (45)
- Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations (2017) (44)
- A novel numerical approximation for the space fractional advection-dispersion equation (2014) (44)
- Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation (2007) (44)
- Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term (2011) (43)
- Time two-mesh algorithm combined with finite element method for time fractional water wave model (2018) (43)
- An improved heat conduction model with Riesz fractional Cattaneo-Christov flux (2016) (42)
- High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation (2015) (41)
- The use of a Riesz fractional differential-based approach for texture enhancement in image processing (2013) (40)
- A Computationally Effective Predictor-Corrector Method for Simulating Fractional Order Dynamical Control System (2006) (40)
- Modeling heat transport in nanofluids with stagnation point flow using fractional calculus (2016) (38)
- Multi-term time-fractional Bloch equations and application in magnetic resonance imaging (2017) (38)
- Unsteady Marangoni convection heat transfer of fractional Maxwell fluid with Cattaneo heat flux (2017) (38)
- Stability and convergence of an implicit numerical method for the space and time fractional Bloch–Torrey equation (2013) (37)
- Numerical analysis for a variable-order nonlinear cable equation (2011) (37)
- Numerical simulation for the three-dimension fractional sub-diffusion equation☆ (2014) (37)
- Numerical methods of the variable-order Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative (2012) (36)
- Novel numerical methods for solving the time-space fractional diffusion equation in 2D (2011) (36)
- The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation (2019) (36)
- A numerical method for the fractional Fitzhugh–Nagumo monodomain model (2013) (36)
- Stability and Convergence of an Effective Numerical Method for the Time-Space Fractional Fokker-Planck Equation with a Nonlinear Source Term (2010) (36)
- A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation (2014) (36)
- An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation (2016) (36)
- A spatial-fractional thermal transport model for nanofluid in porous media (2017) (34)
- Boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness (2018) (34)
- A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients (2016) (33)
- Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation (2016) (33)
- A finite volume method for solving the two-sided time-space fractional advection-dispersion equation (2013) (33)
- Numerical simulation of the fractional Bloch equations (2014) (33)
- Unsteady boundary layer flow of viscoelastic MHD fluid with a double fractional Maxwell model (2019) (32)
- Implicit difference approximation for the two-dimensional space-time fractional diffusion equation (2007) (32)
- Numerical solution of the time fractional reaction-diffusion equation with a moving boundary (2017) (31)
- Review of fractional epidemic models (2021) (31)
- Flow and heat transfer of generalized Maxwell fluid over a moving plate with distributed order time fractional constitutive models (2020) (31)
- Fractional Differential Equations (2010) (30)
- Unsteady Natural Convection Heat Transfer Past a Vertical Flat Plate Embedded in a Porous Medium Saturated With Fractional Oldroyd-B Fluid (2016) (30)
- The Unstructured Mesh Finite Element Method for the Two-Dimensional Multi-term Time–Space Fractional Diffusion-Wave Equation on an Irregular Convex Domain (2018) (30)
- Uniform convergence difference schemes for singularly perturbed mixed boundary problems (2004) (29)
- THE FUNDAMENTAL AND NUMERICAL SOLUTIONS OF THE RIESZ SPACE-FRACTIONAL REACTION–DISPERSION EQUATION (2008) (29)
- Numerical approximation for a variable-order nonlinear reaction–subdiffusion equation (2013) (29)
- An unstructured mesh finite volume method for modelling saltwater intrusion into coastal aquifers (2002) (28)
- Unsteady flow of viscoelastic fluid with the fractional K-BKZ model between two parallel plates (2017) (28)
- A Variable Order Fractional Differential-Based Texture Enhancement Algorithm with Application in Medical Imaging (2015) (28)
- A numerical investigation of the time distributed-order diffusion model (2014) (27)
- A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements (2018) (27)
- Reproducing kernel particle method for two-dimensional time-space fractional diffusion equations in irregular domains (2018) (27)
- Characterization of anomalous relaxation using the time‐fractional Bloch equation and multiple echo T2*‐weighted magnetic resonance imaging at 7 T (2016) (26)
- Tides as phase-modulated waves inducing periodic groundwater flow in coastal aquifers overlaying a sloping impervious base (2003) (26)
- Application of Caputo fractional rheological model to determine the viscoelastic and mechanical properties of fruit and vegetables (2020) (26)
- An advanced numerical modeling for Riesz space fractional advection-dispersion equations by a meshfree approach (2016) (26)
- Flow and heat transfer of double fractional Maxwell fluids over a stretching sheet with variable thickness (2020) (25)
- An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations (2018) (24)
- Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium (2010) (24)
- Analytical and numerical solutions of the unsteady 2D flow of MHD fractional Maxwell fluid induced by variable pressure gradient (2017) (24)
- Numerical methods and analysis for a multi-term time-space variable-order fractional advection-diffusion equations and applications (2019) (24)
- High-order numerical methods for the Riesz space fractional advection-dispersion equations (2016) (24)
- Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions (2011) (23)
- Analytical and numerical solutions for the time and space-symmetric fractional diffusion equation (2009) (23)
- Flow and heat transfer of power-law fluid over a rotating disk with generalized diffusion (2016) (22)
- A novel implicit finite difference method for the one-dimensional fractional percolation equation (2011) (22)
- Numerical Solution of the Fractional-Order Advection-Dispersion Equation (2002) (21)
- Numerical simulation of anomalous infiltration in porous media (2015) (21)
- Numerical treatment for the fractional Fokker-Planck equation (2007) (21)
- Computationally efficient numerical methods for time- and space-fractional Fokker–Planck equations (2009) (20)
- Some novel techniques of parameter estimation for dynamical models in biological systems (2013) (20)
- Numerical simulation of the fractional-order control system (2007) (19)
- Detailed analysis of a conservative difference approximation for the time fractional diffusion equation (2006) (19)
- The Fundamental Solutions of the Space, Space-Time Riesz Fractional Partial Differential Equations with Periodic Conditions (2007) (18)
- High-order explicit-implicit numerical methods for nonlinear anomalous diffusion equations (2013) (18)
- Some novel numerical techniques for an inverse problem of the multi-term time fractional partial differential equation (2018) (18)
- Numerical analysis of fractional MHD Maxwell fluid with the effects of convection heat transfer condition and viscous dissipation (2017) (18)
- An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains (2019) (18)
- A new time and spatial fractional heat conduction model for Maxwell nanofluid in porous medium (2019) (17)
- Series expansion solutions for the multi-term time and space fractional partial differential equations in two- and three-dimensions (2013) (17)
- Numerical simulation of the power density distribution generated in a multimode cavity by using the method of lines technique to solve directly for the electric field (1996) (17)
- A renovated Buongiorno’s model for unsteady Sisko nanofluid with fractional Cattaneo heat flux (2018) (17)
- Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains (2017) (17)
- An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains (2020) (16)
- Stability and convergence of two new implicit numerical methods for the fractional cable equation (2009) (16)
- A two-dimensional finite volume method for transient simulation of time- and scale-dependent transport in heterogeneous aquifer systems (2003) (16)
- Numerical methods for the two-dimensional multi-term time-fractional diffusion equations (2017) (15)
- Anomalous diffusion in rotating Casson fluid through a porous medium (2019) (15)
- Joint time-frequency-power resource allocation for low-medium-altitude platforms-based WiMAX networks (2011) (15)
- Lie group analysis and similarity solution for fractional Blasius flow (2016) (15)
- Fundamental solution and discrete random walk model for a time-space fractional diffusion equation of distributed order (2008) (15)
- Fast numerical simulation of a new time-space fractional option pricing model governing European call option (2018) (15)
- Research on macroscopic and microscopic heat transfer mechanisms based on non-Fourier constitutive model (2018) (14)
- Implicit difference approximation of the Galilei invariant fractional advection diffusion equation (2007) (13)
- Exact solution and invariant for fractional Cattaneo anomalous diffusion of cells in two-dimensional comb framework (2017) (13)
- Fully discrete spectral methods for solving time fractional nonlinear Sine-Gordon equation with smooth and non-smooth solutions (2018) (13)
- A finite volume simulation model for saturated–unsaturated flow and application to Gooburrum, Bundaberg, Queensland, Australia (2006) (13)
- High accuracy analysis of an -Galerkin mixed finite element method for two-dimensional time fractional diffusion equations (2017) (13)
- A space-time spectral method for time-fractional Black-Scholes equation (2021) (13)
- A novel approach of high accuracy analysis of anisotropic bilinear finite element for time-fractional diffusion equations with variable coefficient (2018) (12)
- A fast numerical method for two-dimensional Riesz space fractional diffusion equations on a convex bounded region (2018) (12)
- Stability and Convergence of an Implicit Difference Approximation for the Space Riesz Fractional Reaction-Dispersion Equation (2007) (12)
- Fractional boundary layer flow and heat transfer over a stretching sheet with variable thickness (2018) (12)
- Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain (2022) (12)
- Boundary layer flows of viscoelastic fluids over a non-uniform permeable surface (2020) (12)
- Numerical inversion of the fractional derivative index and surface thermal flux for an anomalous heat conduction model in a multi-layer medium (2018) (11)
- A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions (2020) (11)
- Analytical and numerical solutions of a two‐dimensional multi‐term time‐fractional Oldroyd‐B model (2019) (10)
- Second-order approximation for the space fractional diffusion equation with variable coefficient (2015) (10)
- Time fractional super-diffusion model and its application in peak-preserving smoothing (2018) (10)
- Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes (2018) (10)
- Analytical and numerical solutions of a multi-term time-fractional Burgers' fluid model (2019) (10)
- Fractional Differential Equations 2012 (2013) (10)
- A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions (2020) (10)
- The global analysis on the spectral collocation method for time fractional Schrödinger equation (2020) (10)
- Time fractional Cattaneo-Christov anomalous diffusion in comb frame with finite length of fingers (2017) (9)
- Computationally efficient methods for solving time-variable-order time-space fractional reaction-diffusion equation (2012) (9)
- Effects of fractional mass transfer and chemical reaction on MHD flow in a heterogeneous porous medium (2019) (9)
- A novel finite element method for the distributed-order time fractional Cable equation in two dimensions (2020) (9)
- Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation (2020) (8)
- A center Box method for radially symmetric solution of fractional subdiffusion equation (2015) (8)
- Time fractional diffusion-reaction equation (2005) (8)
- Numerical methods for solving the multi-term time-fractional wave-diffusion equations (2012) (8)
- Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media (2023) (8)
- Error Analysis of Nonlinear Time Fractional Mobile/Immobile Advection-Diffusion Equation with Weakly Singular Solutions (2021) (8)
- A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients (2021) (7)
- Multi-term time fractional diffusion equations and novel parameter estimation techniques for chloride ions sub-diffusion in reinforced concrete (2020) (7)
- A fractional alternating-direction implicit method for a multi-term time-space fractional Bloch-Torrey equations in three dimensions (2019) (7)
- A second-order accurate numerical approximation for the Riesz space fractional advection-dispersion equation (2012) (7)
- A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation (2020) (7)
- Finite difference/finite element method for two-dimensional time-space fractional Bloch-Torrey equations with variable coefficients on irregular convex domains (2020) (7)
- A Reynolds Uniform Scheme for Singularly Perturbed Parabolic Differential Equation (2007) (7)
- Numerical simulation of a Finite Moment Log Stable model for a European call option (2017) (7)
- Differential quadrature method for space-fractional diffusion equations on 2D irregular domains (2017) (7)
- Symmetry analysis and conservation laws to the space-fractional Prandtl equation (2017) (6)
- An explicit approximation for the space-time fractional diffusion equation (2005) (6)
- A finite volume method for the two-dimensional time and space variable-order fractional Bloch-Torrey equation with variable coefficients on irregular domains (2021) (6)
- Parameter estimation for a phenomenological model of the cardiac action potential (2011) (6)
- A space-time finite element method for solving linear Riesz space fractional partial differential equations (2021) (6)
- Comb model for the anomalous diffusion with dual-phase-lag constitutive relation (2018) (6)
- Efficient numerical methods for the nonlinear two-sided space-fractional diffusion equation with variable coefficients (2020) (6)
- A second-order L-stable time discretisation of the semiconductor device equations (1992) (6)
- Flow and heat transfer of viscoelastic fluid with a novel space distributed-order constitution relationship (2021) (6)
- Novel analytical and numerical techniques for fractional temporal SEIR measles model (2018) (6)
- A comparison of finite difference and finite volume methods for solving the space-fractional advection-dispersion equation with variable coefficients (2013) (6)
- A stochastic model for thermal transport of nanofluid in porous media: Derivation and applications (2017) (6)
- An investigation of radial basis functions for fractional derivatives and their applications (2020) (5)
- Mixed convection heat transfer of viscoelastic fluid along an inclined plate obeying the fractional constitutive laws (2017) (5)
- Modified alternating direction methods for solving a two-dimensional non-continuous seepage flow with fractional derivatives (2009) (4)
- Simulation of combustion waves for two-stage reactions (1998) (4)
- Stability and Convergence of Implicit Numerical Methods for a Class of Fractional Advection-Dispersion Models (2011) (4)
- Numerical approximation of 2D multi-term time and space fractional Bloch-Torrey equations involving the fractional Laplacian (2021) (4)
- Anomalous diffusion in comb model with fractional dual-phase-lag constitutive relation (2018) (4)
- The application of the distributed-order time fractional Bloch model to magnetic resonance imaging (2022) (3)
- An alternating direction implicit legendre spectral method for simulating a 2D multi-term time-fractional Oldroyd-B fluid type diffusion equation (2022) (3)
- Matrix Transfer Technique for Anomalous Diffusion Equation Involving Fractional Laplacian (2021) (3)
- Novel numerical analysis for simulating the generalized 2D multi-term time fractional Oldroyd-B fluid model. (2019) (3)
- Fractional anomalous convection diffusion in comb structure with a non-Fick constitutive model (2018) (3)
- Advances in fractional differential equations (IV): Time-fractional PDEs (2017) (3)
- The Galerkin finite element approximation of the fractional cable equation (2012) (3)
- The Unstructured Mesh Finite Element Method for the Two-Dimensional Multi-term Time–Space Fractional Diffusion-Wave Equation on an Irregular Convex Domain (2018) (3)
- Temporal anomalous diffusion and drift of particles in a comb backbone with fractional Cattaneo−Christov flux (2017) (3)
- UNSTEADY CONVECTION HEAT AND MASS TRANSFER OF A FRACTIONAL OLDROYD-B FLUID WITH CHEMICAL REACTION AND HEAT SOURCE/SINK EFFECT (2018) (3)
- Solution of Moving-boundary Problems in Finite Media by Petrov-Galerkin and Predictor-corrector Techniques (1996) (3)
- Parameter estimation for fractional dynamical models in biological systems (2010) (3)
- A Computational Effective Method For Fractional Order Bagley-Torvik Equation (2004) (3)
- Numerical analysis of the time variable fractional order mobile-immobile advection-dispersion model (2012) (2)
- A vertex-centred finite volume method for the 3D multi-term time and space fractional Bloch-Torrey equation with fractional Laplacian (2022) (2)
- Numerical treatment of a two-dimensional variable-order fractional nonlinear reaction-diffusion model (2014) (2)
- Fractional Differential Equations 2011 (2011) (2)
- The time fractional diffusion and wave equations in an n-dimensional half space with mixed boundary conditions (2008) (2)
- Inverse average type tetrahedral finite-element schemes for the stationary semiconductor device equations (1992) (2)
- Memory dependent anomalous diffusion in comb structure under distributed order time fractional dual-phase-lag model (2021) (2)
- Fundamental solution and discrete random walk model for time-space fractional diffusion equation (2008) (2)
- A new implicit numerical method for the space and time fractional Bloch-Torrey equation (2012) (2)
- Analytical and numerical solutions of the space and time fractional bloch-torrey equation (2011) (2)
- Unsteady Mixed Convection Heat Transfer of Fractional Viscoelastic Nanofluids over an Inclined Plate (2019) (1)
- Analytical solutions of the multi-term modified power law wave equations in a finite domain (2012) (1)
- The computational simulation of brain connectivity using diffusion tensor MRI (2011) (1)
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation (2013) (1)
- Numerical solution techniques for time-and space-fractional fokker-planck equations (2008) (1)
- WITHDRAWN: Unstructured mesh finite volume methods for fractional-in-space nonlinear reaction–diffusion equations on irregular domains (2019) (1)
- On the process of filtration of fractional viscoelastic liquid food (2021) (1)
- Novel superconvergence analysis of anisotropic triangular FEM for a multi‐term time‐fractional mixed sub‐diffusion and diffusion‐wave equation with variable coefficients (2021) (1)
- Analytical solution for the non-homogeneous anomalous sub-diffusion equation (2008) (1)
- Analytical and numerical investigation on the tempered time-fractional operator with application to the Bloch equation and the two-layered problem (2021) (1)
- Improvement of the fitted mesh methods by multi-transition points technique for singularly perturbed convection diffusion problem (2004) (1)
- A new fractional finite volume method for solving the two-sided space fractional diffusion equation with a variable coefficient (2012) (1)
- The explicit and implicit finite difference approximations for a space fractional advection diffusion equation (2004) (1)
- A two-Dimensional finite volume method for variable density flow and solute transport through saturated-unsaturated media (2003) (1)
- Anomalous relaxation in the human brain mapped using ultra-high field magnetic resonance imaging and time-fractional Bloch equation (2016) (1)
- An effective operator splitting method based on spectral deferred correction for the fractional Gray-Scott model (2022) (1)
- A preconditioned Lanczos method for space-fractional reaction-diffusion equations on two-dimensional unstructured meshes (2012) (1)
- A study of distributed‐order time fractional diffusion models with continuous distribution weight functions (2022) (0)
- Computational Simulation of Connectivity in the Brain Using Full Diffusion Tensor from MRI (2010) (0)
- Analytical solutions for the two- and three-dimensional time-fractional telegraph equations by the method of separating variables (2012) (0)
- A class of conservative difference schemes for conservative equation with a small parameter (2002) (0)
- Finite element method for nonlinear supperdiffusion equation (2012) (0)
- Two novel numerical methods for solving the two-dimensional fractional Fitzhugh-Nagumo-monodomain model (2012) (0)
- Corrigendum to “Heat conduction with fractional Cattaneo-Christov upper-convective derivative flux mode”, International Journal of Thermal Sciences 112 (2017) 421-426 (2019) (0)
- Riemann-Liouville Award ” for Best FDA Paper ( theory ) , FDA # 077 : Fractional Dynamical System and Its Linearization Theorem (2012) (0)
- A Petrov-Galerkin method for a singularly perturbed ordinary differential equation with non-smooth data (2006) (0)
- Two numerical methods for the space and time fractional Bloch-Torrey equation with a nonlinear source term in 2D (2012) (0)
- Galerkin finite element method for a two-dimensional tempered time-space fractional diffusion equation with application to a Bloch-Torrey equation retaining Larmor precession (2022) (0)
- Numerical Simulation of Fractional Riesz Space Nonlinear Reaction-Diffusion Models (2013) (0)
- Two novel numerical methods of a space-fractional Boussinesq equation (2012) (0)
- A fourth‐order accurate numerical method for the distributed‐order Riesz space fractional diffusion equation (2022) (0)
- An Application of the Distributed-Order Time- and Space-Fractional Diffusion-Wave Equation for Studying Anomalous Transport in Comb Structures (2023) (0)
- A space-time finite element method for solving linear Riesz space fractional partial differential equations (2021) (0)
- The non-uniform L1-type scheme coupling the finite volume method for the time-space fractional diffusion equation with variable coefficients (2023) (0)
- Special Issue: Advances in Fractional Differential Equations (V): Time-Space Fractional PDEs (2019) (0)
- Spectral approximations to the fractional integral and derivative (2012) (0)
- An investigation of radial basis functions for fractional derivatives and their applications (2019) (0)
- Time Fractional Order Diffusion Equation for Signal Smoothing (2020) (0)
- Alternating direction implicit numerical method for the space and time fractional Bloch-Torrey equation in 3-D (2012) (0)
- Numerical Approximation of the Multi-term Time-space Fractional Bloch-Torrey Equations on Irregular Convex Domains (2018) (0)
- Modelling the FASTMET Process (1996) (0)
- Design of Sliding Mode Controller for Underactuated Dexterous Hand (2013) (0)
- A comprehensive review of nanofluids with fractional derivatives: Modeling and application (2022) (0)
- Numerical simulation of a fractional mathematical model for epidermal wound healing (2012) (0)
- Numerical solution for the Levy-Feller diffusion equation (2005) (0)
- A numerical method for the space Riesz fractional diffusion equation (2005) (0)
- Exact solution and invariant for fractional Cattaneo anomalous diffusion of cells in two-dimensional comb framework (2017) (0)
- An implicit RBF meshless method for a fractal mobile/immobile transport model (2012) (0)
- An investigation of space distributed-order models for simulating anomalous transport in a binary medium (2022) (0)
- Numerical Investigation of a Two-Phase Nanofluid Model for Boundary Layer Flow Past a Variable Thickness Sheet (2018) (0)
- Anisotropic $EQ_1^{rot}$ Finite Element Approximation for a Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation (2023) (0)
- Analysis of Fractional Dynamic Systems (2014) (0)
- Radial point interpolation collocation method based approximation for 2D fractional equation models (2021) (0)
- Numerical methods for time-space fractional partial differential equations (2019) (0)
- Finite Element Method for Two-Dimensional Unsteady MHD Couette Flow of a Generalized Oldroyd-B Fluid (2018) (0)
- Symmetry analysis and conservation laws to the space-fractional Prandtl equation (2017) (0)
- Numerical simulation for two-dimensional Riesz space fractional diffusion equations with a nonlinear reaction term Research Article (2013) (0)
- A second-order accurate finite volume method for solving the two-sided space fractional diffusion equation (2012) (0)
- Computational Multi-term Time-space Fractional Bloch-Torrey Models in Three-dimensions (2019) (0)
- Heat Transfer of Fractional Maxwell Fluid over a Moving Plate with Cattaneo-Christov Flux (2019) (0)
- Simulating Seawater Intrusion in Aquifers using the Modified Fokker-Planck Equation and Boussinesq Equation Subject to Phase-Modulated Tidal Waves. (2002) (0)
- A computationally efficient solution method for a riesz space fractional advection-dispersion equation (2008) (0)
- Numerical investigation of three types of space and time fractional Bloch-Torrey equations in 2 D Research (0)
- ICCM2012 – Topical Issue on computational methods, numerical modelling & simulation in Applied Mathematical Modelling (2014) (0)
- The solutions of a special form of the time fractional Navier-Stokes equations (2008) (0)
- Novel numerical techniques for the finite moment log stable computational model for European call option (2020) (0)
- Some second-order 𝜃 schemes combined with finite element method for nonlinear fractional cable equation (2018) (0)
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