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.