TITLE:
Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel
AUTHORS:
Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni
KEYWORDS:
Singular Integral Equation, Linear and Nonlinear V-FIE, Homotopy Perturbation Method (HPM), Cauchy Kernel
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.2,
February
28,
2017
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.