Explicit methods in solving stiff ordinary differential equations
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-Kut...
Saved in:
| Main Authors: | , , |
|---|---|
| 格式: | Article |
| 出版: |
Taylor & Francis LTD
2004
|
| 主题: | |
| 在线阅读: | http://eprints.utm.my/id/eprint/12198/ http://dx.doi.org/10.1080/00207160410001661744 |
| 标签: |
添加标签
没有标签, 成为第一个标记此记录!
|
| 总结: | 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. |
|---|