A Perturbed Fourth Order Runge-Kutta Method for First Order Ordinary Differential Equations

Abstract

In this paper a perturbed fourth order Runge-Kutta (PRK) method for solving firstorder ordinary differential equations (ODEs) is proposed. The scheme is an improvement over well-known fourth order Runge-kutta (RK) method and the most recent fifth order Runge-Kutta Fehlberg (RKF) method [2]. It has error constants much smaller than Multistep perturbed implicit Runge-Kutta collocation method [1] and 5th Order Runge- Kutta method . Numerical examples are given to test the efficiency of the method.

Keywords: Perturbed, first order ODEs, Implicit, Stiff equations, Stable solutions and non-linear ODEs

Journal of the Nigerian Association of Mathematical Physics, Volume 19 (November, 2011), pp 143 – 148