A high-order compact difference method for fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions

Yuan Ming Wang

doi:10.1007/s40314-019-0992-4

A high-order compact difference method for fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions

Yuan Ming Wang^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In a recent paper, Ren and Liu proposed and analyzed a high-order compact finite difference method for a class of fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions. In this paper, we point out some deficiencies and errors found in that paper and make the corresponding revisions.

Original language	English
Article number	13
Journal	Computational and Applied Mathematics
Volume	39
Issue number	1
DOIs	https://doi.org/10.1007/s40314-019-0992-4
State	Published - 1 Mar 2020

Keywords

Compact difference method
Fractional sub-diffusion equation
Nonhomogeneous Neumann boundary condition
Stability and convergence
Variable coefficient

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10.1007/s40314-019-0992-4

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title = "A high-order compact difference method for fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions",

abstract = "In a recent paper, Ren and Liu proposed and analyzed a high-order compact finite difference method for a class of fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions. In this paper, we point out some deficiencies and errors found in that paper and make the corresponding revisions.",

keywords = "Compact difference method, Fractional sub-diffusion equation, Nonhomogeneous Neumann boundary condition, Stability and convergence, Variable coefficient",

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AU - Wang, Yuan Ming

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N2 - In a recent paper, Ren and Liu proposed and analyzed a high-order compact finite difference method for a class of fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions. In this paper, we point out some deficiencies and errors found in that paper and make the corresponding revisions.

AB - In a recent paper, Ren and Liu proposed and analyzed a high-order compact finite difference method for a class of fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions. In this paper, we point out some deficiencies and errors found in that paper and make the corresponding revisions.

KW - Compact difference method

KW - Fractional sub-diffusion equation

KW - Nonhomogeneous Neumann boundary condition

KW - Stability and convergence

KW - Variable coefficient

UR - https://www.scopus.com/pages/publications/85075117884

U2 - 10.1007/s40314-019-0992-4

DO - 10.1007/s40314-019-0992-4

M3 - 文章

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SN - 2238-3603

VL - 39

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

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M1 - 13

ER -

A high-order compact difference method for fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions

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Keywords

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