El-Kalla, I.L. and Al-Bugami A.M. (2011) Fredholm-Volterra Integral Equation with A Generalized Singular Kernel and Its Numerical Solutions. IJRRAS, 6, 341-352.

has been cited by the following article:

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

  AUTHORS: Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni

  KEYWORDS: Singular Integral Equation, Linear and Nonlinear V-FIE, Adomian Decomposition Method (ADM), Carleman Kernel, Logarithmic Kernel

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.6 No.3, September 14, 2016

  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.