Runge-Kutta and rational block methods for solving initial value problems

Abstract

Three methods to solve initial value problems are considered. The methods are the first order Euler’s, second order Heun’s, and rational block methods. The Euler’s and Heun’s methods are of the Runge-Kutta type. Numerical results show that the rational block method is more robust than Runge-Kutta type methods in solving initial value problems.