Journal of Applied & Computational Mathematics

Two-step Explicit Methods for the Numerical Integration of a System of Second Order Initial Value Problems

Abstract

Gul MN

In this paper, authors present a new family of two-step explicit fourth order methods, for the numerical integration of second order periodic initial-value problems. These methods are explicit in nature and we intend to use them, in future, as a predictor for the family of direct hybrid methods. Their stability properties and the efficiency are also discussed. Considering some numerical results, authors saw that the new methods are superior to the existing explicit methods.