A new numerical integrator for the solution of stiff first order ordinary differential equations

A. A. Momoh, A. O. Adesanya, K. M. Fasasi, A. Tahir

Abstract


This paper considered one step numerical integrator for the solution of first order initial value problems. The method of interpolation of the power series approximate solution and collocation of the differential system to generate a continuous linear multistep method which was evaluated at some selected grid points and implemented in block method was considered. The basic properties of the resultant discrete block method was investigated and found to be zero-stable, consistent and convergent. The numerical integrator was tested on some numerical examples, the results were presented in tabular form and adequately discussed.


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Published: 2014-02-22

How to Cite this Article:

A. A. Momoh, A. O. Adesanya, K. M. Fasasi, A. Tahir, A new numerical integrator for the solution of stiff first order ordinary differential equations, Eng. Math. Lett., 2014 (2014), Article ID 5

Copyright © 2014 A. A. Momoh, A. O. Adesanya, K. M. Fasasi, A. Tahir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Engineering Mathematics Letters

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