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Dynamics of the 3-D fractional complex Ginzburg–Landau equation

Journal of Differential Equations, 2015-11, Vol.259 (10), p.5276-5301

2015

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An α-Robust Galerkin Spectral Method for the Nonlinear Distributed-Order Time-Fractional Diffusion Equations with Initial Singularity

Fractal and fractional, 2024-03, Vol.8 (3), p.164

2024

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Finite difference scheme for multi-term variable-order fractional diffusion equation

Advances in difference equations, 2018-03, Vol.2018 (1), Article 103

2018

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Analysis of two Legendre spectral approximations for the variable-coefficient fractional diffusion-wave equation

Advances in difference equations, 2019-10, Vol.2019 (1), Article 418

2019

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Finite difference/spectral approximations for the distributed order time fractional reaction–diffusion equation on an unbounded domain

Journal of computational physics, 2016-06, Vol.315, p.84-97

2016

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A fully discrete spectral scheme for time fractional Cahn-Hilliard equation with initial singularity

Computers & mathematics with applications (1987), 2022-12, Vol.127, p.213-224

2022

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A high-order numerical scheme for solving nonlinear time fractional reaction-diffusion equations with initial singularity

Applied numerical mathematics, 2021-11, Vol.169, p.32-43

2021

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Optimal error estimate of the Legendre spectral approximation for space-fractional reaction–advection–diffusion equation

Advances in difference equations, 2018-04, Vol.2018 (1), Article 140

2018

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Optimal H1-Norm Estimation of Nonconforming FEM for Time-Fractional Diffusion Equation on Anisotropic Meshes

Fractal and fractional, 2022-07, Vol.6 (7), p.381

2022

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Numerical approximations for the nonlinear time fractional reaction–diffusion equation

Numerical methods for partial differential equations, 2023-03, Vol.39 (2), p.1355-1375

2023

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Galerkin spectral method for nonlinear time fractional Cable equation with smooth and nonsmooth solutions

Applied mathematics and computation, 2019-06, Vol.350, p.32-47

2019

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Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes

International journal of computer mathematics, 2022-12, Vol.99 (12), p.2524-2541

2022

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A unified numerical scheme for the multi-term time fractional diffusion and diffusion-wave equations with variable coefficients

Journal of computational and applied mathematics, 2018-03, Vol.330, p.380-397

2018

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Fourier spectral approximation for generalized time fractional Burgers equation

Journal of applied mathematics & computing, 2022, Vol.68 (6), p.3979-3997

2022

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Fourier spectral approximation for time fractional Burgers equation with nonsmooth solutions

Applied numerical mathematics, 2021-11, Vol.169, p.164-178

2021

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Fully discrete spectral methods for solving time fractional nonlinear Sine–Gordon equation with smooth and non-smooth solutions

Applied mathematics and computation, 2018-09, Vol.333, p.213-224

2018

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A second-order numerical method for space–time variable-order diffusion equation

Journal of computational and applied mathematics, 2021-06, Vol.389, p.113358, Article 113358

2021

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Numerical approximation of 2D multi-term time and space fractional Bloch–Torrey equations involving the fractional Laplacian

Journal of computational and applied mathematics, 2021-09, Vol.393, p.113519, Article 113519

2021

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Finite difference/finite element method for two-dimensional time–space fractional Bloch–Torrey equations with variable coefficients on irregular convex domains

Computers & mathematics with applications (1987), 2020-12, Vol.80 (12), p.3173-3192

2020

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A fully discrete spectral method for fractional Cattaneo equation based on Caputo–Fabrizo derivative

Numerical methods for partial differential equations, 2019-05, Vol.35 (3), p.936-954

2019

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On the convergence and superconvergence for a class of two‐dimensional time fractional reaction‐subdiffusion equations

Numerical methods for partial differential equations, 2023-01, Vol.39 (1), p.481-500

2023

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Spectral and pseudospectral approximations for the time fractional diffusion equation on an unbounded domain

Journal of computational and applied mathematics, 2016-10, Vol.304, p.43-56

2016

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Global superconvergence analysis of nonconforming finite element method for time fractional reaction-diffusion problem with anisotropic data

Computers & mathematics with applications (1987), 2022-08, Vol.119, p.159-173

2022

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An Iα/I-Robust Galerkin Spectral Method for the Nonlinear Distributed-Order Time-Fractional Diffusion Equations with Initial Singularity

Fractal and fractional, 2024-03, Vol.8 (3)

2024

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Analysis of Legendre pseudospectral approximations for nonlinear time fractional diffusion-wave equations

International journal of computer mathematics, 2021-09, Vol.98 (9), p.1769-1791

2021

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Dynamics of the 3-D fractional complex Ginzburg–Landau equation

An α-Robust Galerkin Spectral Method for the Nonlinear Distributed-Order Time-Fractional Diffusion Equations with Initial Singularity

Finite difference scheme for multi-term variable-order fractional diffusion equation

Analysis of two Legendre spectral approximations for the variable-coefficient fractional diffusion-wave equation

Finite difference/spectral approximations for the distributed order time fractional reaction–diffusion equation on an unbounded domain

A fully discrete spectral scheme for time fractional Cahn-Hilliard equation with initial singularity

A high-order numerical scheme for solving nonlinear time fractional reaction-diffusion equations with initial singularity

Optimal error estimate of the Legendre spectral approximation for space-fractional reaction–advection–diffusion equation

Optimal H1-Norm Estimation of Nonconforming FEM for Time-Fractional Diffusion Equation on Anisotropic Meshes

Numerical approximations for the nonlinear time fractional reaction–diffusion equation

Galerkin spectral method for nonlinear time fractional Cable equation with smooth and nonsmooth solutions

Spectral approximation for nonlinear time fractional Schrödinger equation on graded meshes

A unified numerical scheme for the multi-term time fractional diffusion and diffusion-wave equations with variable coefficients

Fourier spectral approximation for generalized time fractional Burgers equation

Fourier spectral approximation for time fractional Burgers equation with nonsmooth solutions

Fully discrete spectral methods for solving time fractional nonlinear Sine–Gordon equation with smooth and non-smooth solutions

A second-order numerical method for space–time variable-order diffusion equation

Numerical approximation of 2D multi-term time and space fractional Bloch–Torrey equations involving the fractional Laplacian

Finite difference/finite element method for two-dimensional time–space fractional Bloch–Torrey equations with variable coefficients on irregular convex domains

A fully discrete spectral method for fractional Cattaneo equation based on Caputo–Fabrizo derivative

On the convergence and superconvergence for a class of two‐dimensional time fractional reaction‐subdiffusion equations

Spectral and pseudospectral approximations for the time fractional diffusion equation on an unbounded domain

Global superconvergence analysis of nonconforming finite element method for time fractional reaction-diffusion problem with anisotropic data

An Iα/I-Robust Galerkin Spectral Method for the Nonlinear Distributed-Order Time-Fractional Diffusion Equations with Initial Singularity

Analysis of Legendre pseudospectral approximations for nonlinear time fractional diffusion-wave equations

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