Research Journal of Applied Sciences

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A Two Step-Second Order Inverse Polynomial Methods for Integration of Differential Equations with Singularities

K.O. Okosun and R.A. Ademiluyi
Page: 13-16 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

This study describes a two-step second order inverse polynomial method for the numerical solution of ordinary differential equations with singularities. The scheme is based on rational functions approximation technique and its development and analysis is based on power series expansions (Taylor and Binomial) and Dalhquist stability test method. The scheme is convergent and A-stable. Numerical results show that the scheme is accurate, effective and efficient.

How to cite this article:

K.O. Okosun and R.A. Ademiluyi . A Two Step-Second Order Inverse Polynomial Methods for Integration of Differential Equations with Singularities.
DOI: https://doi.org/10.36478/rjasci.2007.13.16
URL: https://www.makhillpublications.co/view-article/1815-932x/rjasci.2007.13.16