Citation
Mechee, Mohammed and Senu, Norazak and Ismail, Fudziah and Nikouravan, B. and Siri, Zailan
(2013)
A three-stage fifth-order Runge-Kutta method for directly solving special third-order differential equation with application to thin film flow problem.
Mathematical Problems in Engineering, 2013.
art. no. 795397.
pp. 1-7.
ISSN 1024-123X
Abstract
In this paper, a three-stage fifth-order Runge-Kutta method for the integration of a special third-order ordinary differential equation (ODE) is constructed. The zero stability of the method is proven. The numerical study of a third-order ODE arising in thin film flow of viscous fluid in physics is discussed. The mathematical model of thin film flow has been solved using a new method and numerical comparisons are made when the same problem is reduced to a first-order system of equations which are solved using the existing Runge-Kutta methods. Numerical results have clearly shown the advantage and the efficiency of the new method.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2013/795397 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Fifth-order runge-kutta methods; Numerical comparison; Numerical results; Third-order differential equations; Third-order odes; Third-order ordinary differential equations; Zero stability. |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 24 Jun 2014 06:42 |
| Last Modified: | 09 Oct 2015 07:02 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/795397 |
| URI: | http://psasir.upm.edu.my/id/eprint/30068 |
| Statistic Details: | View Download Statistic |
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