Numerical Solution Of Volterra Integro-Differential Equations Using Improved Runge-Kutta Method
Volterra integro differential equations (VIDEs) have found applications in varies fields such as control theory, oscillation theory, electrodynamics, oscillation theory and biomathematics problems. In this paper, we considered Volterra Integro-differential equations of second kind by using Improved Runge-Kutta method of order three. In order to solve the integral part, familiar numerical integration methods such as Simpson Method I, Simpson Method II and Lagrange interpolation polynomial are used to approximate. Numerical examples are presented to illustrate the accuracy and efficiency of the method.
Keywords: Volterra Integro-differential equation; Improved Runge-Kutta method; Simpson Method I; Simpson Method II ; Lagrange interpolation polynomial.