Title of article :
One-Step Exponential-rational 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
Abstract :
In this study, a new class of exponential-rational methods (ERMs) for the numerical solution of first order initial value problems has been developed. Developments of third order and fourth order ERMs, as well as their corresponding local truncation error have been presented. Each ERM was found to be consistent with the differential equation and L-stable. Numerical experiments showed that the third order and fourth order ERMs generates more accurate numerical results compared with the existing rational methods in solving first order initial value problems.
Keywords :
Exponential function , exponential , rational method , problem whose solution possesses singularity , rational function , rational method
