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One step cosine–taylorlike method for solving stiff equations

Ahmad, Rokiah @ Rozita and Yaacob, Nazeeruddin (2010) One step cosine–taylorlike method for solving stiff equations. Jurnal Teknologi Kejuruteraan, 26 (1). pp. 41-47. ISSN 2180-3722

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Abstract

This paper discusses the derivation of an explicit cosine-Taylorlike method for solving stiff ordinary differential equations. The formulation has resulted in the introduction of a new formula for the numerical solution of stiff ordinary differential equations. This new method needs an extra work in order to solve a number of differentiations of the function involved. however, the result produced is better than the results from the explicit classical fourth-order runge-kutta (rk4) and the implicit adam-bashforth-Moulton (abM) methods. When compared with the previously derived Sine-Taylorlike method, the accuracy for both methods is almost equivalent.

Item Type:Article
Uncontrolled Keywords:explicit method, stiff ordinary differential equations, runge-kutta, implicit method, adam-bashforth-Moulton, Sine-Taylorlike
Subjects:Q Science > Q Science (General)
Divisions:Science
ID Code:25960
Deposited By: Liza Porijo
Deposited On:21 Jun 2012 08:29
Last Modified:21 Jun 2012 08:29

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