Author(s)

Fatheah Ahmed Hendi¹, Manal Mohamed Al-Qarni²

¹Department of Mathematics, Faculty of Science, King Abdul Aziz University, Jeddah, KSA.
²Department of Mathematics, Faculty of Science, King Khalid University, Abha, KSA.

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.

Singular Integral Equation, Linear and Nonlinear V-FIE, Homotopy Perturbation Method (HPM), Cauchy Kernel

Hendi, F. and Al-Qarni, M. (2017) Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel. Applied Mathematics, 8, 209-214. doi: 10.4236/am.2017.82017.