One–Step Hybrid Block Scheme for the Numerical Approximation for Solution of Third Order Initial Value Problems
J. Sabo, T. Y. Kyagya, M. Solomon
Journal of Scientific Research and Reports · pp. 51–61 · Published 20 Dec 2021
10.9734/jsrr/2021/v27i1230476Abstract
In this research, we have proposed the simulation of linear block algorithm for modeling third order highly stiff problem without reduction to a system of first order ordinary differential equation, to address the weaknesses in reduction method. The method is derived using the linear block method through interpolation and collocation. The basic properties of the block method were recovered and was found to be consistent, convergent and zero-stability. The new block method is been applied to model third order initial value problems of ordinary differential equations without reducing the equations to their equivalent systems of first order ordinary differential equations. The result obtained on the process on some sampled modeled third order linear problems give better approximation than the existing methods which we compared our result with.
Cited by 2
Folashade Mistura Jimoh, Adam Ajimoti Ishaq, Kazeem Issa · African Scientific Reports · 2025
M.P. Mkhatshwa · Partial Differential Equations in Applied Mathematics · 2025
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