The Simulation of One-Step Algorithms for Treating Higher Order Initial Value Problems
J. Sabo *
Department of Mathematics, Adamawa State University, Mubi, Nigeria.
A. M. Ayinde
Department of Mathematics, School of Physical Sciences, Modibbo Adama University of Technology, Yola, Nigeria.
A. A. Ishaq
Department of Physical Sciences, Al-Hikmah University, Ilorin, Nigeria.
G. Ajileye
Department of Mathematics and Statistics, Federal University Wukari, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Algorithms, higher order initial value problems, one-step, and simulation