Title of article :
A New Class of Rational Multistep Methods for the Numerical Solution of First Order Initial Value Problems
Author/Authors :
Ying, Teh Yuan Universiti Utara Malaysia - College of Arts and Sciences, School of Quantitative Sciences, Malaysia , Yaacob, Nazeeruddin Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematics, Malaysia , Alias, Norma Universiti Teknologi Malaysia - Ibnu Sina Institute for Fundamental Science Studies, Malaysia
Abstract :
In this paper, we have developed a new class of 2-step rational multistep methods (RMMs) in second to fifth order of accuracy. We have presented the developments of these RMMs, as well as the local truncation error and stability analysis for each RMM that we have developed. Numerical experiments have shown that all RMMs presented in this paper are suitable to solve initial value problem of various dimensions and also stiff problems.
Keywords :
Rational functions , rational multistep methods , initial value problems , problems whose solutions posses singularities , stiff problems
Journal title :
Matematika
Journal title :
Matematika
