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文章基本信息

  • 标题:On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition
  • 本地全文:下载
  • 作者:Allaberen Ashyralyev ; Zafer Cakir
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2012
  • 卷号:2012
  • DOI:10.1155/2012/696179
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The first and second order of accuracy stable difference schemes for the numerical solution of the mixed problem for the fractional parabolic equation are presented. Stability and almost coercive stability estimates for the solution of these difference schemes are obtained. A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of one-dimensional fractional parabolic partial differential equations.
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