Citation
Rabiei, Faranak and Ismail, Fudziah
(2013)
Fourth order 4-stages improved Runge-Kutta method with minimized error norm.
In: Statistics and Operational Research International Conference (SORIC 2013), 3–5 Dec. 2013, Sarawak, Malaysia. (pp. 153-158).
Abstract
In this paper the improved Runge-Kutta method of order four with 4-stages for solving first order ordinary differential equation is proposed. The method is based on classical Runge-Kutta (RK) method also can be considered as special class of two-step method. Here, the coefficients of the method are obtained using the minimization of the error norm up to order five. The improved method with only 4-stages is more accurate than fourth order 4-stages RK method. Therefore it is computationally more efficient than the existing RK method. A number of test problems are solved and the numerical results compared with the existing RK method are given.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4894341 |
| Publisher: | AIP Publishing LLC |
| Keywords: | Improved Runge-Kutta method; Minimization of error norm; Ordinary differential equations; Two-step method |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 08 Sep 2017 10:34 |
| Last Modified: | 08 Sep 2017 10:34 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4894341 |
| URI: | http://psasir.upm.edu.my/id/eprint/57196 |
| Statistic Details: | View Download Statistic |
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