Numerical Treatment of Nonlinear Volterra-Fredholm Integral Equation with a Generalized Singular Kernel

Hendi, Fatheah Ahmed and Al-Qarni, Manal Mohamed (2016) Numerical Treatment of Nonlinear Volterra-Fredholm Integral Equation with a Generalized Singular Kernel. American Journal of Computational Mathematics, 06 (03). pp. 245-250. ISSN 2161-1203

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Official URL: https://doi.org/10.4236/ajcm.2016.63025

Abstract

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.

Item Type:	Article
Subjects:	Archive Science > Mathematical Science
Depositing User:	Managing Editor
Date Deposited:	24 Jun 2023 07:25
Last Modified:	02 Sep 2024 13:03
URI:	http://editor.pacificarchive.com/id/eprint/1177

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