Third derivative method for solving stiff system of ordinary differential equations

Lawrence Osa Adoghe, Ezekiel Olaoluwa Omole and Sunday Emmanuel Fadugba

International Journal of Mathematics in Operational Research, 2022, vol. 23, issue 3, 412-425

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. (search for similar items in EconPapers)
Date: 2022
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