L. A. Ukpebor

Department of Mathematics, Ambrose Alli University Ekpoma, Edo-State, Nigeria

lukeukpebor@gmail.com

2 Publications

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Publications 2

Research Article Vol. 32, Issue 1

A Class of Two-Step Obrechkoff-Type of Hybrid Block Method for Solving Initial Value Problems in Ordinary Differential Equations

L. A. Ukpebor^*, L. O. Adoghe, I. E. Airemen

In this paper, we derived A Class of Two-Step Obrechkoff-Type of Hybrid Block Method for Solving Initial Value Problem (IVP) in Ordinary differential equations (ODEs) by collocation and interpolation techniques. The analysis of the proposed scheme shows that it is zero stable, convergent and consistent. Numerical examples are also presented to show...

DOI: 10.67897/njma.2022.0d1trgpa

Jun, 2022 Vol. 32, Issue 1 4 views 1 downloads

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Research Article Vol. 32, Issue 1

A Three-Step Algorithm for Solving Second Order Ordinary Differential Equations

L. A. Ukpebor^*

A linear Multistep Method (LMM) of step length of three with six integrators and uniform order four through interpolation and collocation procedures were developed. The integrators are implemented on a Vanderpol’s oscillator Problem, stiff problem and, exponential problems. The results acquired compares satisfactorily with the existing method in th...

DOI: 10.67897/njma.2022.5aq7r7yb

Jun, 2022 Vol. 32, Issue 1 4 views 1 downloads

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