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  • 标题:A Fibonacci collocation method for solving a class of Fredholm–Volterra integral equations in two-dimensional spaces
  • 本地全文:下载
  • 作者:Farshid Mirzaee ; Farshid Mirzaee ; Seyede Fatemeh Hoseini
  • 期刊名称:Beni-Suef University Journal of Basic and Applied Sciences
  • 印刷版ISSN:2314-8535
  • 电子版ISSN:2314-8543
  • 出版年度:2014
  • 卷号:3
  • 期号:2
  • 页码:157-163
  • DOI:10.1016/j.bjbas.2014.05.010
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractIn this paper, we present a numerical method for solving two-dimensional Fredholm–Volterra integral equations (F-VIE). The method reduces the solution of these integral equations to the solution of a linear system of algebraic equations. The existence and uniqueness of the solution and error analysis of proposed method are discussed. The method is computationally very simple and attractive. Finally, numerical examples illustrate the efficiency and accuracy of the method.
  • 关键词:Two-dimensional Fredholm–Volterra integral equations;The Fibonacci polynomials;Collocation method
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