Superconvergence analysis of finite element methods for the variable-order subdiffusion equation with weakly singular solutions

The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations

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An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order

(2021) Xian-Ming Gu et al.   APPLIED MATHEMATICS LETTERS

$$\beta $$-Robust Superconvergent Analysis of a Finite Element Method for the Distributed Order Time-Fractional Diffusion Equation

(2021) Chaobao Huang et al.   JOURNAL OF SCIENTIFIC COMPUTING

Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations

(2020) Ruilian Du et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

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

A local discontinuous Galerkin method for time-fractional diffusion equation with discontinuous coefficient

(2020) Chaobao Huang et al.   APPLIED NUMERICAL MATHEMATICS

Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions

(2020) Xiangcheng Zheng et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Optimal order finite difference/local discontinuous Galerkin method for variable-order time-fractional diffusion equation

(2020) Leilei Wei et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Superconvergence of a finite element method for the time-fractional diffusion equation with a time-space dependent diffusivity

(2020) Na An   Advances in Difference Equations

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

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

Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

(2019) Dianming Hou   Communications in Computational Physics

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

Optimal L∞(L2) error analysis of a direct discontinuous Galerkin method for a time-fractional reaction-diffusion problem

(2018) Chaobao Huang et al.   BIT NUMERICAL MATHEMATICS

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

Variable Order Differential Equations with Piecewise Constant Order-Function and Diffusion with Changing Modes

(2009) Sabir Umarov et al.   ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN