Analysis of non-linear singular system from fluid dynamics using extended runge-kutta methods

Abstract

A non-linear singular system from fluid dynamics has been analysed by considering various possibilities using three different fourth order extended Runge–Kutta (RK) methods based on arithmetic mean, harmonic mean and heronian mean. It is observed that the extended RK methods suit well for the nuclear reactor core problem, when compared to the Single Term Walsh Series (STWS) method [1,10]. The simple and direct methods presented here can easily be implemented in a digital computer.

Keywords:

• Non-linear system
• Singular system
• RK method
• Arithmetic
• Harmonic
• Heronian means

C.R. Categories:

• G.1.7

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Notes

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