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Al-Wagdani, M.M. (2016) On Some Numerical Treatments for Solving Volterra Integral Equation and System of Volterra Integral Equations. Taif University, Taif.

has been cited by the following article:

• TITLE: Runge-Kutta Method and Bolck by Block Method to Solve Nonlinear Fredholm-Volterra Integral Equation with Continuous Kernel

  AUTHORS: A. M. Al-Bugami, J. G. Al-Juaid

  KEYWORDS: Nonlinear Fredholm-Volterra Integral Equation, System of Nonlinear Volterra Integral Equations, Runge-Kutta Method, Bolck by Block Method

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.9, September 30, 2020

  ABSTRACT: In this paper, the existence and uniqueness of the solution of Fredholm-Volterra integral equation is considered (NF-VIE) with continuous kernel; then we used a numerical method to reduce this type of equations to a system of nonlinear Volterra integral equations. Runge-Kutta method (RKM) and Bolck by block method (BBM) are used to solve the system of nonlinear Volterra integral equations of the second kind (SNVIEs) with continuous kernel. The error in each case is calculated.