Extrapolation of explicit DIMSIMs of high order to solve the ordinary differential equations

Annie a/p Gorgey

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Type :	article
Subject :	Q Science (General)
Main Author :	Annie a/p Gorgey
Additional Authors :	Ali J. Kadhim
Title :	Extrapolation of explicit DIMSIMs of high order to solve the ordinary differential equations

Place of Production :	Tanjong Malim
Publisher :	Fakulti Sains dan Matematik
Year of Publication :	2019
Corporate Name :	Universiti Pendidikan Sultan Idris
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Abstract : Universiti Pendidikan Sultan Idris

The purpose of this research is to investigate the e?ciency of ex-plicit diagonally implicit multi-stage integration methods with ex-trapolation. The author gave detailed explanation of explicit di-agonally implicit multi-stage integration method and compared thebase method with a technique known as extrapolation to improvethe e?ciency. Extrapolation for symmetric Runge-Kutta method isproven to improve the accuracy since with extrapolation the solu-tions exhibit asymptotic error expansion, however for General linearmethods, it is not known whether extrapolation can improve the ef-?ciency or not. Therefore this research focuses on the numericalexperimental results of the explicit diagonally implicit multistageintegration with and without extrapolation for solving some ordi-nary di?erential equations. The numerical results showed that thebase method with extrapolation is more e?cient than the methodwithout extrapolation

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