APPLICATION OF MAPLE PROGRAM AND MATLAB CODE ON THE STABILITY ANALYSIS OF AN EXPLICIT FOURTH-STAGE SECOND-ORDER RUNGE-KUTTA METHOD

Authors

  • Esekhaigbe Aigbedion Christopher Department of Mathematics, Aduvie Pre-University College, Jahi, Abuja, Nigeria.
  • Okodugha Edward Department of Basic Sciences, Federal Polytechnic, Auchi, Edo State, Nigeria

DOI:

https://doi.org/10.53555/nnms.v10i2.1520

Keywords:

Stability, Explicit, Runge-Kutta Methods, MAPLE, MATLAB CODE, Polynomial equation, Stability Curve, Test Equation, Numerical Method

Abstract

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.

 

References

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Published

2023-02-07

How to Cite

Christopher, E. A. ., & Edward, O. . (2023). APPLICATION OF MAPLE PROGRAM AND MATLAB CODE ON THE STABILITY ANALYSIS OF AN EXPLICIT FOURTH-STAGE SECOND-ORDER RUNGE-KUTTA METHOD. Journal of Advance Research in Mathematics and Statistics (ISSN 2208-2409), 10(2), 5-8. https://doi.org/10.53555/nnms.v10i2.1520

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