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Comparison Of Interpolations Used In Solving Delay Differential Equations By Runge-Kutta Method
Journal article   Peer reviewed

Comparison Of Interpolations Used In Solving Delay Differential Equations By Runge-Kutta Method

Fudziah Ismail, Raed Ali AL-Khasawneh and Mohamed Suleiman
International journal of computer mathematics, Vol.80(7), pp.921-930
01/07/2003
DOI: https://doi.org/10.1080/0020716031000079527

Abstract

Delay Differential Equations Interpolations Singly Diagonally Implicit Runge-Kutta Method And Delay Term
Delay differential equations are solved using embedded Singly Diagonally Implicit Runge-Kutta (SDIRK) method (3,4) in (4,5). The approximation of the delay term is obtained by Newton divided difference interpolation and interpolation developed by In't Hout. Numerical results based on these two types of interpolation are compared. The stability polynomial and the stability regions of SDIRK method (2,2) using In't Hout interpolation for the delay term are presented.

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