Open AccessThe Simulation of One-Step Algorithms for Treating Higher Order Initial Value Problems
Author(s) -
J. Sabo,
A. M. Ayinde,
Adam Ajimoti Ishaq,
G. Ajileye
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i930329
Subject(s) - collocation (remote sensing) , interpolation (computer graphics) , convergence (economics) , mathematics , algorithm , polynomial , function (biology) , mathematical optimization , orthogonal collocation , order (exchange) , power series , value (mathematics) , computer science , collocation method , mathematical analysis , differential equation , ordinary differential equation , statistics , finance , machine learning , evolutionary biology , economics , biology , economic growth , animation , computer graphics (images)
The simulation of one-step methods using interpolation and collocation for the treatment of higher order initial value problems is proposed in this paper. The new approach is derived using interpolation and collocation as a basic function through power series polynomial, where the basic properties are also analyzed. The derived method is used to treat some highly stiff linear problems. The new approach compute clearly showed that the method is reliable, efficient and gives faster convergence when compared with those in literature.