Extrapolation of General Linear Methods with Inherent Runge-Kutta Stability
DOI:
https://doi.org/10.37134/jsml.vol9.sp.4.2021Keywords:
Inherent Runge-Kutta stability, IRKs, Extrapolation, General linear methodsAbstract
General linear methods have been proven to be very efficient in solving stiff and non-stiff differential equations. Extrapolation is proven to increase the accuracy of any methods. This paper investigates the accuracy and efficiencies of explicit general linear methods with inherent Runge-Kutta stability (IRKs) with and without extrapolation. The numerical results on the Van der Pol (VDP) and Brusselator (Bruss) non-stiff test equations showed that IRKs with extrapolation are more efficient and accurate than itself without extrapolation.
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References
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