ORDER OF THE RUNGE-KUTTA METHOD AND EVOLUTION OF THE STABILITY REGION

Hippolyte Séka     (Institut National Polytechnique Houphouet-Boigny, Côte d'Ivoire)
Kouassi Richard Assui     (Institut National Polytechnique Houphouët–Boigny, BP 1093 Yamoussoukro, Côte d'Ivoire)

Abstract


In this article, we demonstrate through specific examples that the evolution of the size of the absolute stability regions of Runge–Kutta methods for ordinary differential equation does not depend on the order of methods.


Keywords


Stability region, Runge–Kutta methods, Ordinary differential equations, Order of methods.

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References


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DOI: http://dx.doi.org/10.15826/umj.2019.2.006

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