IJPAM: Volume 94, No. 3 (2014)

A NON-LINEAR FIFTH ORDER A-STABLE EXPLICIT
ONE-STEP METHOD FOR STIFF SYSTEMS ARISING
IN CHEMICAL REACTIONS

E.R. El-Zahar$^1$, Y.S. Hamed$^2$, H.M. Habib$^3$
$^{1,2,3}$Department of Basic Engineering Science
Faculty of Engineering
Shebin El-Kom, Menofia University
EGYPT
$^{1,3}$Department of Mathematics
College of Sciences and Humanities
Salman Bin Abdulaziz University
P.O. Box 83, Alkharj, 11942, KSA
$^2$Department of Mathematics
Faculty of Science
Taif University
Taif, P.O. Box 888, 21974, KSA


Abstract. In this paper, a non-linear explicit one step method is presented for solving stiff differential systems which characterize several kinds of linear reactions and diffusion from biochemistry, physiology, etc. The accuracy and stability properties of the method are investigated and shown to yield at least fifth-order and A-stable. The method is consistent and convergent. Some differential systems arising in chemical reactions are solved to illustrate the performance and accuracy of the method.

Received: November 21, 2013

AMS Subject Classification: 65L05

Key Words and Phrases: stiff problems, initial-value problems, explicit integration methods

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DOI: 10.12732/ijpam.v94i3.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 94
Issue: 3
Pages: 341 - 354

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).