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Optimized fourth-order Runge-Kutta method for solving oscillatory problems


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).


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

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
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