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...
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| Main Authors: | , , |
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| 格式: | Article |
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Taylor & Francis LTD
2004
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| 主題: | |
| 在線閱讀: | http://eprints.utm.my/id/eprint/12198/ http://dx.doi.org/10.1080/00207160410001661744 |
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| 總結: | 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. |
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