Title: Third derivative method for solving stiff system of ordinary differential equations

Authors: Lawrence Osa Adoghe; Ezekiel Olaoluwa Omole; Sunday Emmanuel Fadugba

Addresses: Department of Mathematics, Ambrose Alli University Ekpoma, Edo State, Nigeria ' Department of Mathematics and Statistics, Joseph Ayo Babalola University, Ikeji – Arakej, Osun State, Nigeria ' Department of Mathematics, Ekiti State University Ado – Ekiti, Ekiti State, Nigeria

Abstract: A continuous integration method based on the hybrid third derivative block method is constructed and used to generate solution for stiff systems of first order ordinary differential equations. The hybrid third derivative method are applied simultaneously to integrate stiff initial value problems by combining them into a single block matrix known as block hybrid third derivative method. The basic properties of block method were examined and were found to be zero-stable, consistence, convergence and A-stable. Some numerical results produced by the block method show that it is competitive with some existing ones in the literature. The results and comparison are presented in tables and curves.

Keywords: first order system of equations; ordinary differential equations; hybrid third-derivative; block method; stiff problems; A-stability; zero-stability; convergences.

DOI: 10.1504/IJMOR.2022.127382

International Journal of Mathematics in Operational Research, 2022 Vol.23 No.3, pp.412 - 425

Received: 11 Jul 2021
Accepted: 05 Sep 2021
Published online: 01 Dec 2022 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article