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Abdou, M.A., El-Kalla, I.L. and Al-Bugami, A.M. (2011) Numerical Solution for Volterra-Fredholm Integral Equation with a Generalized Singular Kernel. Journal of Modern Methods in Numerical Mathematics, 2, 1-15.
https://doi.org/10.20454/jmmnm.2011.60

has been cited by the following article:

• 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.