A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations

Authors

• Victor Oboni Atabo Department of Mathematics, Ahmadu Ribadu College, Yola, Nigeria
• Solomon Ortwer Adee Department of Mathematics, Modibbo Adama University, Yola, Nigeria

Abstract

A new higher-implicit block method for the direct numerical solution of fourth order ordinary differential equation is derived in this research paper. The formulation of the new formula which is 15-step, is achieved through interpolation and collocation techniques. The basic numerical properties of the method such as zero-stability, consistency and A-stability have been examined. Investigation showed that the new method is zero stable, consistent and A-stable, hence convergent. Test examples from recent literature have been used to confirm the accuracy of the new method.

Dimensions

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2021-11-29

How to Cite

Atabo, V. O., & Adee, S. O. (2021). A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations. Journal of the Nigerian Society of Physical Sciences, 3(4), 308–333. https://doi.org/10.46481/jnsps.2021.337

Section

Original Research