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  • 标题:Crank-Nicolson finite difference method for two-dimensional fractional sub-diffusion equation
  • 本地全文:下载
  • 作者:Umair Ali ; Farah Aini Abdullah ; Ahmad Izani Ismail
  • 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.
  • 关键词:Grünwald-Letnikov fractional derivative; 2D fractional sub-diffusion equation; Crank-Nicolson difference approximation; Stability; Convergence
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