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文章基本信息

  • 标题:Comparison of the Numerical Solutions Obtained by Adomian Decomposition Method and Collocation Method of a Class of Weakly Singular Volterra Integral Equation
  • 本地全文:下载
  • 作者:M.M. Hosseini
  • 期刊名称:World Applied Sciences Journal
  • 印刷版ISSN:1818-4952
  • 电子版ISSN:1991-6426
  • 出版年度:2010
  • 卷号:7
  • 期号:07
  • 出版社:International Digital Organization for Scientific Information Publications
  • 摘要:

    In this paper, an Adomian decomposition method using Chebyshev orthogonal polynomials is
    proposed to solve a well-known class of weakly singular Volterra integral equations. Comparison with the
    collocation method using polynomial spline approximation with Legendre Radau points reveals that the
    Adomian decomposition method using Chebyshev orthogonal polynomials is of high accuracy and reduces
    the size of computational work

  • 关键词:Singular volterra integral equations; adomian decomposition method; collocation method ; orthogonal polynomials
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