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
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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