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.