Numerical solution of third order ordinary differential equations using a seven-step block method

This paper aims to provide a direct solution to third order initial value problems of ordinary differential equations.Multistep collocation approach is adopted in the derivation of the method.The new block method is zero-stable, consistent and convergent.The application of the new method to solving...

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Bibliographic Details
Main Authors: Kuboye, J. O., Omar, Zurni
Format: Article
Language:English
Published: Hikari Ltd 2014
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/17797/1/IJMA%209%2015%20743-754.pdf
Description
Summary:This paper aims to provide a direct solution to third order initial value problems of ordinary differential equations.Multistep collocation approach is adopted in the derivation of the method.The new block method is zero-stable, consistent and convergent.The application of the new method to solving differential equations gives better results when compared with the existing methods.