Original article: Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations

Authors:
R. D'Ambrosio;M. Ferro;B. Paternoster
Affiliations:
Dipartimento di Matematica e Informatica, Universitá di Salerno, 84084 Fisciano, SA, Italy;Dipartimento di Matematica e Applicazioni, Universitá di Napoli-"Federico II", 80126 Napoli, Italy;Dipartimento di Matematica e Informatica, Universitá di Salerno, 84084 Fisciano, SA, Italy
Venue:
Mathematics and Computers in Simulation
Year:
2011

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Abstract

Abstract: 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.