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Research Article Open access CC BY 4.0

The Direct Simulation of Third Order Linear Problems on Single Step Block Method

J. Sabo, Y. Skwame, T. Y. Kyagya, J. A. Kwanamu

Asian Journal of Research in Computer Science · pp. 1–12 · Published 8 Oct 2021

10.9734/ajrcos/2021/v12i230277

Abstract

In this article, the direct simulation of third order linear problems on single step block method has been proposed. In order to overcoming the setbacks in reduction method, direct method has been proposed using power series to reduce computational burden that occur in the reduction method. Numerical properties for the block method are established and the method developed is consistent, convergent and zero-stable. To validate the accuracy of the block method, certain numerical test problems were considered, the results shown that the accuracy of our method are more accurate over the existing method in literature.

Direct method computational burden linear problems reduction method single step simulation third order

Cited by 4

The Simulation of One-Step Algorithms for Treating Higher Order Initial Value Problems

J. Sabo, A. M. Ayinde, A. A. Ishaq, G. Ajileye · Asian Research Journal of Mathematics · 2021

Approximate solution of higher-order oscillatory differential equations via modified linear block techniques

Folashade Mistura Jimoh, Adam Ajimoti Ishaq, Kazeem Issa · African Scientific Reports · 2025

Simulation of Two-Step Block Approach for Solving Oscillatory Differential Equations

Sabo John, Abdullahi Muhammed Ayinde, Taiye Oyedepo · Cumhuriyet Science Journal · 2024

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