IJPAM: Volume 107, No. 1 (2016)
AMPLIFICATION-FITTED RUNGE-KUTTA
METHOD FOR OSCILLATORY PROBLEMS



Zanariah Abd. Majid


Faculty of Science
Universiti Putra Malaysia
43400 UPM, Serdang, Selangor, MALAYSIA

Faculty of Computer Science and Mathematics
Tikrit University, Sallah AL-Deen, IRAQ

Universiti Putra Malaysia
43400 UPM, Serdang, Selangor, MALAYSIA
Abstract. A new Runge-Kutta (RK) method is constructed to solve first-order differential equations with oscillatory solutions. This new method is based on the Runge-Kutta method of order four with seven-stage. Numerical tests are performed, and the results of the new method is compared with the existing methods. The numerical results show that the new method is more efficient.
Received: January 4, 2016
AMS Subject Classification: 65L05, 65L06
Key Words and Phrases: Runge-Kutta methods, phase-fitted, amplification-fitted and oscillatory problems
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DOI: 10.12732/ijpam.v107i1.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 1
Pages: 69 - 86
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This work is licensed under the Creative Commons Attribution International License (CC BY).