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  • 标题:Error estimate of a high accuracy difference scheme for Poisson equation with two integral boundary conditions
  • 本地全文:下载
  • 作者:Liping Zhou ; Haiyuan Yu
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:225
  • DOI:10.1186/s13662-018-1682-z
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Partial differential equations with nonlocal boundary conditions have been widely applied in various fields of science and engineering. In this work, we first build a high accuracy difference scheme for Poisson equation with two integral boundary conditions. Then, we prove that the scheme can reach the asymptotic optimal error estimate in the maximum norm through applying the discrete Fourier transformation. In the end, numerical experiments validate the correctness of theoretical results and show the stability of the scheme.
  • 关键词:Poisson equation ; Integral boundary condition ; Finite difference scheme ; Discrete Fourier transformation ; Asymptotic optimal error estimate
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