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Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel
Department of Mathematics, Faculty of Science, King Abdul Aziz University, Jeddah, KSA
Department of Mathematics, Faculty of Science, King Khalid University, Abha, KSA
- 1 Department of Mathematics, Faculty of Science, King Abdul Aziz University, Jeddah, KSA
- 2 Department of Mathematics, Faculty of Science, King Khalid University, Abha, KSA
Applied Mathematics·Volume 08 (2017)·Pages 209–214·Published 7 February 2017·DOI10.4236/am.2017.82017
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Abstract
In this article, we present approximate solution of the two-dimensional singular nonlinear mixed Volterra-Fredholm integral equations (V-FIE), which is deduced by using new strategy (combined Laplace homotopy perturbation method (LHPM)). Here we consider the V-FIE with Cauchy kernel. Solved examples illustrate that the proposed strategy is powerful, effective and very simple.
KeywordsSingular Integral EquationLinear and Nonlinear V-FIEHomotopy Perturbation Method (HPM)Cauchy Kernel
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