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  • 标题:Study of hybrid orthonormal functions method for solving second kind fuzzy Fredholm integral equations
  • 本地全文:下载
  • 作者:Praveen Agarwal ; Mohamed Ramadan ; Heba S. Osheba
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13662-020-02985-3
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The approximate numerical solution of the linear second kind of fuzzy integral Fredholm equations is discussed in this article. A new approach uses hybrid functions, and some useful properties of these functions are proposed to transform linear second type fuzzy integral Fredholm equations into an algebraic equation. The new approach is a mixture of Bernstein polynomials (BPs) and enhanced block-pulse functions (IBPFs) at interval $[0, 1)$ . The approach is appealing and very easy to implement computationally. Some numerical tests show the reliability and exactness of the suggested scheme.
  • 关键词:65T60 ; 65R20 ; 45A05 ; 41A30
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