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COMPARISON OF INTERPOLATIONS USED IN SOLVING DELAY DIFFERENTIAL EQUATIONS BY RUNGE-KUTTA METHOD
Authors:
Fudziah Ismail a;
Raed Ali Al-Khasawneh a;
Mohamed Suleiman a
| Affiliation: | a Department of Mathematics, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia. |
DOI:
10.1080/0020716031000079527
Publication Frequency:
12 issues per year
Published in:
International Journal of Computer Mathematics,
Volume
80,
Issue
7
July
2003
, pages 921
- 930
International Journal of Computer Mathematics,
Volume
80,
Issue
7
July
2003
, pages 921
- 930
Subjects:
Analysis - Mathematics;
Bioinformatics;
Computer Mathematics;
Discrete Mathematics;
Mathematical Finance;
Mathematical Logic;
Mathematical Numerical Analysis;
Systems & Computer Architecture;
Number of References: 13
Formats available:
PDF
(English)
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Abstract
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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| Keywords: Delay Differential Equations; Interpolations; Singly Diagonally Implicit Runge-Kutta Method And Delay Term |
| view references (13) |
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