Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations
The purpose of this paper is to derive two-step hybrid methods for second order ordinary differential equations with oscillatory or periodic solutions. We show the constructive technique of methods based on trigonometric and mixed polynomial fitting and consider the linear stability analysis of such methods. We then carry out some numerical experiments underlining the properties of the derived classes of methods. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
trigonometrical fitting two-step hybrid methods second order ordinary differential equations