Abdullahi Aliyu Alhaji

Department of Mechanical Engineering, Federal University of Technology, Minna, Nigeria

2 Publications

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Publications 2

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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