IJPAM: Volume 70, No. 5 (2011)

STUDY ON SINGULAR SYSTEMS OF INDEX THREE
VIA RUNGE-KUTTA METHOD OF ORDER-10

K. Murugesan$^1$, V. Balakumar$^2$
$^{1,2}$Department of Mathematics
National Institute of Technology
Tiruchirappalli, 620 015, Tamil Nadu, INDIA


Abstract. Singular systems of index three are investigated using Single Term Walsh Series (STWS) technique and Runge-Kutta method of order-10 (RK-10). Singular systems are remodeled as initial value problems and have been solved using RK-10. The obtained results are compared with the exact solutions and are found to be very accurate. The proposed method is very simple to implement in a digital computer and the solutions can be found for any length of time. Numerical examples are presented.

Received: February 11, 2011

AMS Subject Classification: 93C15, 42C05, 65L06

Key Words and Phrases: singular systems, single-term Walsh series, Runge-Kutta method

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 5