Citation
Ahmad, Nur Amirah and Senu, Norazak
(2016)
New 4(3) pair two derivative Runge-Kutta method with FSAL property for solving first order initial value problems.
In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-8).
Abstract
A new embedded Two Derivative Runge-Kutta method (TDRK) based on First Same As Last (FSAL) technique for the numerical solution of first order Initial Value Problems (IVPs) is derived. We present an embedded 4(3) pair explicit fourth order TDRK method with a ‘small’ principal local truncation error coefficient. The stability of the new method is analyzed. The numerical experiments are carried out to show the efficiency of our method in comparison with other existing embedded Runge-Kutta methods (RK) of the same order.
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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/10.1063/1.4995885 |
| Publisher: | AIP Publishing |
| Keywords: | FSAL technique; IVPs; TDRK methods |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 26 Sep 2017 04:04 |
| Last Modified: | 26 Sep 2017 04:04 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4995885 |
| URI: | http://psasir.upm.edu.my/id/eprint/57325 |
| Statistic Details: | View Download Statistic |
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