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

  • Yuan-Ming WangEmail author
Article
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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

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

Mathematics Subject Classification

65M06 65M12 65M15 35R11 

Notes

Acknowledgements

The author would like to thank the referees for their valuable comments and suggestions which improved the presentation of the paper.

References

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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2019

Authors and Affiliations

  1. 1.Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, School of Mathematical SciencesEast China Normal UniversityShanghaiPeople’s Republic of China

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