An efficient numerical solver for anisotropic subdiffusion problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:364

Article

Tan, Jinying¹  Liu, Jiangguo² 

[1] Huazhong Agr Univ, Coll Sci, Wuhan 430070, Hubei, Peoples R China

[2] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA

关键词: Anisotropy;    Chebyshev differentiation matrices;    Spectral collocation;    Subdiffusion;    Time-fractional derivatives;   

DOI  :  10.1016/j.cam.2019.06.034

来源: Elsevier

【 摘 要 】

This paper presents an efficient and robust numerical solver for anisotropic subdiffusion problems, which are important but not addressed directly in the literature. The Chebyshev spectral collocation method is utilized for discretization of the spatial Laplacian, whereas a linear interpolation is used for discretizing the fractional order Caputo temporal derivative. This solver is stable and catches the main features of subdiffusion. Numerical experiments are presented to demonstrate the accuracy and efficiency of this new solver. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free