A Continuous Formulation of A(α)-Stable Second Derivative Linear Multistep Methods for Stiff IVPs in ODEs-Reference-Cited by-同舟云学术

A Continuous Formulation of A(α)-Stable Second Derivative Linear Multistep Methods for Stiff IVPs in ODEs

Published:2012-03 Issue:1 Volume:6 Page:79-100
ISSN:1748-3026
Container-title:Journal of Algorithms & Computational Technology
language:en
Short-container-title:Journal of Algorithms & Computational Technology

Author:

Okuonghae R. I.¹,Ikhile M. N. O.¹

Affiliation:

1. Department of Mathematics, University of Benin, Benin City, P.M.B 1154, Benin City, Nigeria

Abstract

This paper considers family of A(α)-stable second derivative linear multistep methods of order p = k + 3 for step number k ≥ 15 for the solution of stiff IVPs in ODEs. The methods are demonstrated to be A(α)-stable for k ≥ 13. At k = 14, the method is stable but not A(α)-stable. The instability of the new methods sets in when k > 15. Numerical examples are given to demonstrate the application of the methods.

Publisher

SAGE Publications

Link

http://journals.sagepub.com/doi/pdf/10.1260/1748-3018.6.1.79

Reference29 articles.

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