APPLICATION OF MAPLE PROGRAM AND MATLAB CODE ON THE STABILITY ANALYSIS OF AN EXPLICIT FOURTH-STAGE SECOND-ORDER RUNGE-KUTTA METHOD
DOI:
https://doi.org/10.53555/nnms.v10i2.1520Keywords:
Stability, Explicit, Runge-Kutta Methods, MAPLE, MATLAB CODE, Polynomial equation, Stability Curve, Test Equation, Numerical MethodAbstract
The essence of this paper is to analyze the stability of a derived explicit fourth-stage second-order Runge-Kutta method using MAPLE PROGRAM and MATLAB CODE. The property of stability is essential and necessary requirement for any numerical 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 the polynomial equation resulting to sets of real and complex roots. The MATLAB code was used to plot the stability curve which shows the region of absolute stability. Hence, the whole analysis revealed that the method is not just stable, but it is absolutely stable.
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