Abstract

ON THE NUMERICAL SOLUTION OF DIFFERENTIAL-ALGEBRAIC EQUATIONS (DAEs) OF HIGHR INDEX-3 USING RALSTON METHOD

Alechenu, Benard,1 Daudu Zabutu, Philip,2 Habila Musa Moda3 and Daniel, EneojoEmmanuel4

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In this paper, Numerical solution of differential-algebraic equations of higher index specifically index-3 is considered by Ralston?s method. We applied this method to two numerical examples and solution have been compared with those obtained by variational Iteration method and exact solutions. The numerical error estimated shows that the Ralston?s Method confirms better than variational iteration method of the same order. The Ralston?s Method have better stability properties. Keywords: Differential -Algebraic Equations (DAEs), Index-3, Ralston?s Method, Heisenberg form of differential algebraic- equations.

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