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  • 标题:Modified implicit fractional difference scheme for 2D modified anomalous fractional sub-diffusion equation
  • 本地全文:下载
  • 作者:Umair Ali ; Farah Aini Abdullah ; Syed Tauseef Mohyud-Din
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2017
  • 卷号:2017
  • 期号:1
  • 页码:185
  • DOI:10.1186/s13662-017-1192-4
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we solve two-dimensional modified anomalous fractional sub-diffusion equation using modified implicit finite difference approximation. The stability and convergence of the proposed scheme are analyzed by the Fourier series method. We show that the scheme is unconditionally stable and the approximate solution converges to the exact solution. A numerical example is given to show the application and feasibility of the proposed scheme.
  • 关键词:modified anomalous fractional sub-diffusion equation ; modified implicit difference method ; stability ; convergence
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