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A Fast Finite Volume Method on Locally Refined Meshes for Fractional Diffusion Equations

A Fast Finite Volume Method on Locally Refined Meshes for Fractional Diffusion Equations
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Year:    2019

Author:    Jinhong Jia, Hong Wang

East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 4 : pp. 755–779

Abstract

In this work, we consider a boundary value problem involving Caputo derivatives defined in the plane. We develop a fast locally refined finite volume method for variable-coefficient conservative space-fractional diffusion equations in the plane to resolve boundary layers of the solutions. Numerical results are presented to show the utility of the method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.271118.280319

East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 4 : pp. 755–779

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    25

Keywords:    Space-fractional diffusion equation locally refined mesh Toeplitz matrix circulant matrix finite volume method.

Author Details

Jinhong Jia

Hong Wang

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