Abstract

The essence of this paper is to analyze the stability of a derived explicit fourth-stage second-order Runge-Kutta methodusing MAPLE PROGRAM and MATLAB CODE. The property of stability is essential and necessary requirement for anynumerical method to be termed reliable. The analysis revealed that the method is absolutely stable. The test equation was applied on the method and a polynomial equation was generated. The MAPLE program was used to resolve thepolynomial equation resulting to sets of real and complex roots. The MATLAB code was used to plot the stability curvewhich shows the region of absolute stability. Hence, the whole analysis revealed that the method is not just stable, but itis absolutely stable.

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