Year: 2014
Author: Jincheng Ren, Zhi-Zhong Sun
East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 3 : pp. 242–266
Abstract
Some efficient numerical schemes are proposed for solving one-dimensional (1D) and two-dimensional (2D) multi-term time fractional sub-diffusion equations, combining the compact difference approach for the spatial discretisation and $L1$ approximation for the multi-term time Caputo fractional derivatives. The stability and convergence of these difference schemes are theoretically established. Several numerical examples are implemented, testifying to their efficiency and confirming their convergence order.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.181113.280514a
East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 3 : pp. 242–266
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Multi-term time fractional sub-diffusion equations compact/compact ADI difference scheme discrete energy method convergence.