Extrapolation of General Linear Methods with Inherent Runge-Kutta Stability

  • Ali J. Kadhim Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, Tanjung Malim, Perak, Malaysia
  • Annie Gorgey Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, Tanjung Malim, Perak, Malaysia
  • Mohammed M. Fayyadh Department of Mathematics and Statistic, Faculty of Applied Science & Technology, Universiti Tun Hussein Onn Malaysia, Pagoh, Malaysia
Keywords: Inherent Runge-Kutta stability, IRKs, Extrapolation, General linear methods

Abstract

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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Published
2021-02-18
How to Cite
Kadhim, A. J., Gorgey, A., & M. Fayyadh, M. (2021). Extrapolation of General Linear Methods with Inherent Runge-Kutta Stability. Journal of Science and Mathematics Letters, 9, 28-35. https://doi.org/10.37134/jsml.vol9.sp.4.2021