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

D’Ambrosio, R., M. Ferro and B. Paternoster

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 5, 1068-1084

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.

Keywords: Two-step hybrid methods; Trigonometrical fitting; Second order ordinary differential equations (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:5:p:1068-1084

DOI: 10.1016/j.matcom.2010.10.011

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