IJPAM: Volume 111, No. 2 (2016)

Title

A FOUR-STAGE THIRD-ORDER SYMPLECTIC EXPLICIT
TRIGONOMETRICALLY-FITTED RUNGE-KUTTA-NYSTRÖM
METHOD FOR THE NUMERICAL INTEGRATION OF
OSCILLATORY INITIAL-VALUE PROBLEMS

Authors

M.A. Demba$^1$, N. Senu$^2$, F. Ismail$^3$
$^1$Department of Mathematics
Universiti Putra Malaysia
43400 UPM Serdang, Selangor, MALAYSIA
$^{2,3}$Department of Mathematics
and Institute for Mathematical Research
Universiti Putra Malaysia
43400 UPM Serdang, Selangor, MALAYSIA

Abstract

In this work, a third-order four-stage symplectic explicit trigonometrically-fitted Runge-Kutta-Nyström (RKN) method for the numerical integration of second order initial value problems with oscillatory solutions based on Simos technique is constructed. The numerical results obtain signify the accuracy of the proposed method in comparison with other symplectic and non-symplectic RKN methods.

History

Received: May 22, 2016
Revised: November 12, 2016
Published: December 11, 2016

AMS Classification, Key Words

AMS Subject Classification: 65L05, 65L06
Key Words and Phrases: trigonometric fitting, RKN methods, periodic initial value problems

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v111i2.3 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: 111
Issue: 2
Pages: 165 - 178


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