Numerical Solution of First Order Ordinary  Differential Equations Using an Optimized TwoStep Block Hybrid Method

Mayowa E. Atteh; Olaronke H. Edogbanya

doi:10.4314/cajost.v3i1.61

Numerical Solution of First Order Ordinary Differential Equations Using an Optimized TwoStep Block Hybrid Method

Authors

Mayowa E. Atteh Department of Mathematical Science, Faculty of Science, Federal University Lokoja, P.M.B 1154 Kogi State Nigeria
Olaronke H. Edogbanya Department of Mathematical Science, Faculty of Science, Federal University Lokoja, P.M.B 1154 Kogi State Nigeria

DOI:

https://doi.org/10.4314/cajost.v3i1.61

Keywords:

Block Hybrid Method,, Continuous, Interpolation, Collocation, Discrete

Abstract

A two-step block hybrid method was derived using a new set of interpolation
and collocation points which were carefully chosen to improve the performance
of the method. The continuous form of this method was evaluated at ,
and the first derivative at to give four discrete schemes which
constitute a block form. The order, consistency and convergence of the method
is discussed and its accuracy established numericall

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Published

07/26/2022

Issue

Vol. 3 No. 1 (2021): CaJoST

Section

Articles

How to Cite

Numerical Solution of First Order Ordinary Differential Equations Using an Optimized TwoStep Block Hybrid Method. (2022). CaJoST, 3(1). https://doi.org/10.4314/cajost.v3i1.61