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

Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data

(2022) Buyang Li et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Superconvergence of a Finite Element Method for the Multi-term Time-Fractional Diffusion Problem

(2020) Chaobao Huang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order

(2020) Buyang Li et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Sharp H1-norm error estimates of two time-stepping schemes for reaction–subdiffusion problems

(2020) Jincheng Ren et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

(2019) Hong-lin Liao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

High accuracy error estimates of a Galerkin finite element method for nonlinear time fractional diffusion equation

(2019) Jincheng Ren et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A numerical method for distributed order time fractional diffusion equation with weakly singular solutions

(2019) Jincheng Ren et al.   APPLIED MATHEMATICS LETTERS

Space-time finite element method for the distributed-order time fractional reaction diffusion equations

(2019) Weiping Bu et al.   APPLIED NUMERICAL MATHEMATICS

Optimal spatial H1-norm analysis of a finite element method for a time-fractional diffusion equation

(2019) Chaobao Huang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Direct discontinuous Galerkin method for solving nonlinear time fractional diffusion equation with weak singularity solution

(2019) Jincheng Ren et al.   APPLIED MATHEMATICS LETTERS

Time-fractional diffusion equation for signal smoothing

(2018) Yuanlu Li et al.   APPLIED MATHEMATICS AND COMPUTATION

A novel approach of high accuracy analysis of anisotropic bilinear finite element for time-fractional diffusion equations with variable coefficient

(2018) F.L. Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

(2018) Hong-lin Liao et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Error Analysis of a Second-Order Method on Fitted Meshes for a Time-Fractional Diffusion Problem

(2018) Hu Chen et al.   JOURNAL OF SCIENTIFIC COMPUTING

Fast evaluation and high accuracy finite element approximation for the time fractional subdiffusion equation

(2017) Jincheng Ren et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

(2017) Martin Stynes et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Finite difference methods with non-uniform meshes for nonlinear fractional differential equations

(2016) Changpin Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A meshless method based on Point Interpolation Method (PIM) for the space fractional diffusion equation

(2015) Q. Liu et al.   APPLIED MATHEMATICS AND COMPUTATION

A new difference scheme for the time fractional diffusion equation

(2015) Anatoly A. Alikhanov   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical simulation for the three-dimension fractional sub-diffusion equation

(2014) J. Chen et al.   APPLIED MATHEMATICAL MODELLING

Finite difference methods for the time fractional diffusion equation on non-uniform meshes

(2014) Ya-nan Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Discontinuous Petrov--Galerkin Method for Time-Fractional Diffusion Equations

(2014) K. Mustapha et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

(2013) Fanhai Zeng et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

(2012) H. Jiang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS