Citation
Yap, Lee Ken and Ismail, Fudziah and Senu, Norazak
(2014)
An accurate block hybrid collocation method for third order ordinary differential equations.
Journal of Applied Mathematics, 2014.
art. no. 549597.
pp. 1-9.
ISSN 1110-757X; ESSN:1687-0042
Abstract
The block hybrid collocation method with two off-step points is proposed for the direct solution of general third order ordinary differential equations. Both the main and additional methods are derived via interpolation and collocation of the basic polynomial. These methods are applied in block form to provide the approximation at five points concurrently. The stability properties of the block method are investigated. Some numerical examples are tested to illustrate the efficiency of the method. The block hybrid collocation method is also implemented to solve the nonlinear Genesio equation and the problem in thin film flow.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2014/549597 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Block hybrid collocation; Third order ordinary differential equations |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 20 Jun 2015 11:44 |
| Last Modified: | 23 Oct 2015 03:04 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/549597 |
| URI: | http://psasir.upm.edu.my/id/eprint/36381 |
| Statistic Details: | View Download Statistic |
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