Accurate Four-Step Hybrid Block Method for Solving Higher-Order Initial Value Problems

Authors

Adeyefa, E. O., Department of Mathematics, Federal University, Oye-Ekiti, Ekiti State, Nigeria.Follow
Olanegan, O. O., Department of Mathematics, Federal University, Oye-Ekiti, Ekiti State, Nigeria.Follow

Abstract

This paper focuses on developing a self-starting numerical approach that can be used for direct integration of higher-order initial value problems of Ordinary Differential Equations. The method is derived from power series approximation with the resulting equations discretized at the selected grid and off-grid points. The method is applied in a block-by-block approach as a numerical integrator of higher-order initial value problems. The basic properties of the block method are investigated to authenticate its performance and then implemented with some tested experiments to validate the accuracy and convergence of the method.

Keywords

Accuracy, Block Method, Convergence, Higher-Order, Initial Value Problems (IVPs), Ordinary Differential Equations, AMS Group: 65L05, 65L06, 65L10

Article Type

Article

How to Cite this Article

O., Adeyefa, E. and O., Olanegan, O. (2022) "Accurate Four-Step Hybrid Block Method for Solving Higher-Order Initial Value Problems," Baghdad Science Journal: Vol. 19: Iss. 4, Article 3.
DOI: https://doi.org/10.21123/bsj.2022.19.4.0787