文章基本信息

标题：Numerical Treatment of Nonlinear Volterra-Fredholm Integral Equation with a Generalized Singular Kernel
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作者：Fatheah Ahmed Hendi ; Manal Mohamed Al-Qarni
期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2016
卷号：06
期号：03
页码：245-250
DOI：10.4236/ajcm.2016.63025
语种：English
出版社：Scientific Research Publishing
摘要：In the paper, the approximate solution for the two-dimensional linear and nonlinear Volterra-Fredholm integral equation (V-FIE) with singular kernel by utilizing the combined Laplace-Adomian decomposition method (LADM) was studied. This technique is a convergent series from easily computable components. Four examples are exhibited, when the kernel takes Carleman and logarithmic forms. Numerical results uncover that the method is efficient and high accurate.
关键词：Singular Integral Equation;Linear and Nonlinear V-FIE;Adomian Decomposition Method (ADM);Carleman Kernel;Logarithmic Kernel