Citation
Hussain, Kasim Abbas and Ismail, Fudziah and Senu, Norazak and Rabiei, Faranak
(2016)
Optimized fourth-order Runge-Kutta method for solving oscillatory problems.
In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-6).
Abstract
In this article, we develop a Runge-Kutta method with invalidation of phase lag, phase lag's derivatives and amplification error to solve second-order initial value problem (IVP) with oscillating solutions. The new method depends on the explicit Runge-Kutta method of algebraic order four. Numerical tests from its implementation to well-known oscillatory problems illustrate the robustness and competence of the new method as compared to the well-known Runge-Kutta methods in the scientific literature.
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Official URL or Download Paper: http://aip.scitation.org/doi/abs/10.1063/1.4952512
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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/10.1063/1.4952512 |
| Publisher: | AIP Publishing |
| Keywords: | Runge-Kutta method; Oscillatory problems |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 08 Sep 2017 05:30 |
| Last Modified: | 08 Sep 2017 05:30 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952512 |
| URI: | http://psasir.upm.edu.my/id/eprint/57172 |
| Statistic Details: | View Download Statistic |
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