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May 2013 A Symmetric $k$-Step Method for Direct Integration of Second Order Initial Value Problems of Ordinary Differential Equations
K. M. Owolabi
Missouri J. Math. Sci. 25(1): 76-87 (May 2013). DOI: 10.35834/mjms/1369746399

Abstract

The design and implementation analysis of a $k$-step linear multistep method for direct integration of second order initial value problems of ordinary differential equations without reformulation into first order systems is discussed. The derivation of the method and analysis of its basic properties are adopted from the Taylor series expansion and Dahlquist stability model test methods. The result when examined with step-number $k=6$ shows that the scheme is symmetric, consistent, zero-stable, and convergent.

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K. M. Owolabi. "A Symmetric $k$-Step Method for Direct Integration of Second Order Initial Value Problems of Ordinary Differential Equations." Missouri J. Math. Sci. 25 (1) 76 - 87, May 2013. https://doi.org/10.35834/mjms/1369746399

Information

Published: May 2013
First available in Project Euclid: 28 May 2013

zbMATH: 1271.65110
MathSciNet: MR3087690
Digital Object Identifier: 10.35834/mjms/1369746399

Subjects:
Primary: 11B39
Secondary: 33C05

Rights: Copyright © 2013 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.25 • No. 1 • May 2013
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