IJPAM: Volume 93, No. 3 (2014)

SOLVING STIFF DIFFERENTIAL EQUATIONS
USING A-STABLE BLOCK METHOD

M.Z.M. Zabidi$^1$, Z.A. Majid$^2$, N. Senu$^3$
$^{1,2,3}$Institute for Mathematical Research
Universiti Putra Malaysia
43400, Serdang, Selangor, MALAYSIA
$^{2,3}$Department of Mathematics Faculty of Science
Universiti Putra Malaysia
43400, Serdang, Selangor, MALAYSIA


Abstract. This paper will present the two-point block one-step method for solving stiff ordinary differential equations (ODE s). The propose block method is A-stable and the order is three. The solutions will be obtain simultaneously in block and produces two approximate solutions using constant step size. The method is similar as the one-step method and it is self-starting but the implementation is based on the predictor and corrector formulae. The order of the method will be discussed. The numerical results is presented to illustrate the applicability of the propose method. The results clearly shown that the propose method is able to produce comparable and better results compared to the existing method when solving stiff differential equations.

Received: February 5, 2014

AMS Subject Classification: 65L06, 65L10

Key Words and Phrases: stiff ordinary differential equation, block method, two-point

Download paper from here.



DOI: 10.12732/ijpam.v93i3.11 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: 93
Issue: 3
Pages: 409 - 425

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