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J. Z. Donald

Publications (4)

The Double Step Hybrid Linear Multistep Method for Solving Second Order Initial Value Problems

Y. Skwame, J. Z. Donald, T. Y. Kyagya & J. Sabo · Asian Research Journal of Mathematics · 2019

In this paper, we develop the double step hybrid linear multistep method for solving second order initial value problems via interpolation and collocation method of power series approximate solution to give a system of nonlinear equations which is solved to give a continuous hybr...

Open access Research Article 10.9734/arjom/2019/v15i230145

A Self-Starting Five-Step Eight-Order Block Method for Stiff Ordinary Differential Equations

D. Raymond, J. Z. Donald, A. I. Michael & G. Ajileye · Journal of Advances in Mathematics and Computer Science · 2018

This paper examines the implementation of a self-starting five-step eight-order block method with two off-grid for stiff ordinary differential equations using interpolation and collocation procedures. The predictor schemes are then expanded using Taylor’s series expansion. Multip...

Open access Research Article 10.9734/JAMCS/2018/18909

Construction of Five-step Continuous Block General Method for the Solution of Ordinary Differential Equations

D. Raymond, J. Z. Donald, J. A. Oladunjoye & A. Lydia · Journal of Scientific Research and Reports · 2014

In this paper, a self starting five step Continuous Block Hybrid Adams Moulton Method (CBHAM) with three off-grid points is developed using collocation and interpolation procedures. The predictor schemes are then expanded using Taylor’s series expansion. Multiple numerical integr...

Open access Research Article 10.9734/JSRR/2015/13009

On the Simulation of Higher Order Linear Block Algorithm for Modelling Fourth Order Initial Value Problems

J. Sabo, Y. Skwame & J. Z. Donald · Asian Research Journal of Mathematics · 2022

The introduction of new linear block method for the direct simulation of fourth order IVPs has been developed in this article. The reason for adopting direct simulation of fourth order initial value problems is to address some setbacks in reduction method. When developing the met...

Open access Research Article 10.9734/arjom/2022/v18i1030415