Linear Stability Analysis of Runge-Kutta Methods for Singular Lane-Emden Equations

Runge-Kutta methods are efficient methods of computations in differential equations, the classical Runge-Kutta method of order 4 happens to be the most popular of these methods, and most times it is attached to the mind when Runge-Kutta methods are mentioned. However, there are numerous forms of the...

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Bibliographic Details
Published inJournal of Nigerian Society of Physical Sciences Vol. 2; no. 3; pp. 134 - 140
Main Authors Ogunniran, M. O., Tayo, O. A., Haruna, Y., Adebisi, A. F.
Format Journal Article
LanguageEnglish
Published Nigerian Society of Physical Sciences 01.08.2020
Subjects
Classical
Explicit
Lane-Emden equations
Ordinary Differential Equations
Stability
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Summary:Runge-Kutta methods are efficient methods of computations in differential equations, the classical Runge-Kutta method of order 4 happens to be the most popular of these methods, and most times it is attached to the mind when Runge-Kutta methods are mentioned. However, there are numerous forms of them existing in lower and higher orders of the classical method. This work investigates the linear stabilities and abilities of some selected explicit members of these Runge-Kutta methods in integrating the singular Lane-Emden differential equations. The results obtained established the ability of the classical Runge-Kutta method and why is mostly used in computations.
ISSN:2714-2817
2714-4704
DOI:10.46481/jnsps.2020.87