期刊名称:Journal of Interpolation and Approximation in Scientific Computing
印刷版ISSN:2194-3907
电子版ISSN:2194-3907
出版年度:2017
卷号:2017
期号:2
页码:18-29
DOI:10.5899/2017/jiasc-00117
出版社:ISPACS GmbH
摘要:A Crank-Nicolson finite difference method is presented to solve the time fractional two-dimensional sub-diffusion equation in the case where the Grünwald-Letnikov definition is used for the time-fractional derivative. The stability and convergence of the proposed Crank-Nicolson scheme are also analyzed. Finally, numerical examples are presented to test that the numerical scheme is accurate and feasible.