Citation
Ismail, Fudziah and Yap, Lee Ken and Othman, Mohamed
(2009)
Explicit and implicit 3-point block methods for solving special second order ordinary differential equations directly.
International Journal of Mathematical Analysis, 3 (5).
pp. 239-254.
ISSN 1312-8876; ESSN: 1314-7579
Abstract
This paper focused mainly on deriving explicit and implicit 3-point block methods of constant step size using linear difference operator for solving special second order ordinary differential equations (ODEs). The methods compute the solutions of the ODEs at three points simultaneously. Regions of stability for both the explicit and implicit block methods are presented. A standard set of problems are solved using the new methods and the numerical results are compared when the same set of problems are solved using existing methods. The results suggest a significant improvement in efficiency of the new methods in terms of number of steps and accuracy.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Computer Science and Information Technology Faculty of Science Institute for Mathematical Research |
| Publisher: | Hikari Ltd |
| Keywords: | Initial value problems; Linear difference operator; Block method. |
| Depositing User: | Najwani Amir Sariffudin |
| Date Deposited: | 05 Mar 2014 04:33 |
| Last Modified: | 29 Sep 2015 07:48 |
| URI: | http://psasir.upm.edu.my/id/eprint/14652 |
| Statistic Details: | View Download Statistic |
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