Citation
Hussain, Kasim Abbas and Ismail, Fudziah and Senu, Norazak and Rabiei, Faranak and Ibrahim, Rabha Waell
(2015)
Integration for special third-order ordinary differential equations using improved Runge-Kutta direct method.
Malaysian Journal of Science, 34 (2).
pp. 172-179.
ISSN 0126-7906
Abstract
In this paper, we derive an explicit four stage fifth-order Improved Runge-Kutta (IRKD) method for numerical integration of special third-order ordinary differential equation. The method proposed here is two-step in nature and require less number of stages per step compared with the existing Runge-Kutta (RK) method. The stability polynomial of the IRKD method is presented. Numerical results are given to illustrate the efficiency of the proposed method compared to the RK method and direct Runge-Kutta (RKD) method for solving special third-order ordinary differential equations.
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Official URL or Download Paper: http://e-journal.um.edu.my/publish/MJS/925-1141
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Faculty of Science, University of Malaya |
| Keywords: | Special third-order ordinary differential equations; Runge-Kutta method; IRKD method; Stability ploynomial |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 04 May 2017 04:33 |
| Last Modified: | 04 May 2017 04:33 |
| URI: | http://psasir.upm.edu.my/id/eprint/51961 |
| Statistic Details: | View Download Statistic |
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