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Extrapolation of general linear methods with inherent Runge-Kutta stability

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Title
Extrapolation of general linear methods with inherent Runge-Kutta stability
Type
Article
Main Author
Ali J. Kadhim
Additional Authors
  • Gorgey, Annie
  • Mohammed M. Fayyadh
Subject
QA Mathematics
Language Code
eng
Bibliographic Details
Place of Production
Tanjong Malim
Publisher
Fakulti Sains dan Matematik
Year of publication
2021
Degree Type
Not related
Corporate Name
Universiti Pendidikan Sultan Idris

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.  

References

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