Journal of Engineering and Applied Sciences

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Continuous Approach for Deriving Self-Starting Multistep Methods for Initial Value Problems in Ordinary Differential Equations

J.O. Fatokun
Page: 504-508 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

This study presents a continuous approach for the derivation of self-starting multistep methods for the numerical treatment of ordinary differential equations. The popular k-step Adams Moulton class requires single step methods to obtain the (k-1) starting values. In this paper we consider a collocation approach at the various interpolation points to obtain a set of k-multistep methods. The set of methods are of uniform order and A-stable. Two examples are presented here.

How to cite this article:

J.O. Fatokun . Continuous Approach for Deriving Self-Starting Multistep Methods for Initial Value Problems in Ordinary Differential Equations.
DOI: https://doi.org/10.36478/jeasci.2007.504.508
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2007.504.508