Ahmad, R. R. and Yaacob, Nazeeruddin and Mohamed Murid, Ali Hassan (2004) Explicit methods in solving stiff ordinary differential equations. International Journal of Computer Mathematics , 81 (11). pp. 1407-1415. ISSN 00207160
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Official URL: http://dx.doi.org/10.1080/00207160410001661744
In this article, we extended the existing explicit Taylor method and modified it to gain a new explicit Taylor-liked method in solving stiff differential equations. We also considered the stability property for this method since the stability property of the classical explicit fourth order Runge-Kutta (RK4) method is not adequate for the solution of stiff problems. Implicit methods could work well for stiff problems but have certain drawbacks especially when discussing about the cost. A comparison of the existing implicit Adam-Bashforth, the classical explicit (RK4) and the new explicit Taylor-liked method is presented.
|Subjects:||Q Science > Q Science (General)|
|Deposited By:||Liza Porijo|
|Deposited On:||29 Mar 2011 04:24|
|Last Modified:||22 Jul 2011 08:16|
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