Journal
APPLIED MATHEMATICS LETTERS
Volume 77, Issue -, Pages 114-121Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2017.10.005
Keywords
Distributed order space-fractional diffusion equation; Finite element method; Irregular domain
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Funding
- National Natural Science Foundation of China [11472161, 11672163]
- Australian Research Council [DP160101366]
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In this paper, the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain is considered. The finite element method using unstructured mesh adapted to the irregular domain is proposed to solve the considered equation. To testify the efficiency of the proposed method, two numerical examples are given. By the error analysis and the comparison between the numerical solution and the exact solution, the finite element method applied in this paper is shown to be valid in solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain. (C) 2017 Elsevier Ltd. All rights reserved.
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