Umaru Mohammed

Department of Mathematics, Federal University of Technology, Minna, Nigeria

umaru.mohd@futminna.edu.ng

3 Publications

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Publications 3

Research Article Vol. 32, Issue 2

Optimization of two-step method with Bhaskara points for solving non-linear dynamical problems

Umaru Mohammed^*, Oyewole Abiodun Oyelami, Jamiu Garba, Abdullahi Aliyu Alhaji, Mikhail Semenov

We derive a two-step method for solving non-linear dynamical problems employing Bhaskara points as off grid points. Deterministic in nature, non-linear dynamical systems display a periodic behavior that is highly dependent on the beginning circumstances, making long-term predictions impossible. Four Bhaskara points are generated as hybrid points to...

DOI: 10.67897/njma.2022.4y6be108

Dec, 2022 Vol. 32, Issue 2 3 views 3 downloads

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Research Article Vol. 32, Issue 2

Second Derivatives Single Step Block Hybrid Method for Non-Linear Dynamical System

Umaru Mohammed^*, Jamiu Garba, Abdullahi Aliyu Alhaji, A. I. Ma’ali, Mikhail Semenov

In this paper, a modified single-step method is proposed to integrate nonlinear dynamical systems resulting to ordinary differential equations. In order to obtain higher order A-stable method, we have used second derivative of the solutions and imposed some special sets of off-grid points in the formulation process of the algorithms. The consistenc...

DOI: 10.67897/njma.2022.tkhiwpg5

Dec, 2022 Vol. 32, Issue 2 5 views 4 downloads

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Research Article Vol. 30, Issue 1

Derivation of a New One-Step Numerical Integrator for Solving First Order Ordinary Differential Equations

Jamiu Garba^*, Umaru Mohammed

This article presents a new class of one-step second derivative hybrid block method to solve general first order initial value problems of ordinary differential equations. The method is derived by interpolating an approximated power series at one point and collocating its first and second derivatives at some carefully selected intra-step points. Th...

DOI: 10.67897/njma.2020.pvb9r593

Aug, 2020 Vol. 30, Issue 1 7 views 3 downloads

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