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  • 标题:Dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations
  • 本地全文:下载
  • 作者:Qing Liao ; Liping Wen
  • 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:142
  • DOI:10.1186/s13662-017-1196-0
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper is concerned with the dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations (FIDEs). The dissipativity results of Runge-Kutta methods for the FIDEs are given. It is shown under a suitable condition that an algebraically stable Runge-Kutta method is dissipative when applied to the FIDEs. Numerical examples are given to illustrate the correctness of our theoretical results.
  • 关键词:functional-integro-differential equation ; Runge-Kutta method ; dissipativity ; algebraic stability ; dynamical systems
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