Numerical Treatment of Delay Differential Equations by Runge-Kutta Method Using Hermite Interpolation

Authors

  • Fudziah Ismail
  • Raed Ali Al-Khasawneh
  • San Lwin Aung
  • Mohamed Suleiman

DOI:

https://doi.org/10.11113/matematika.v18.n.121

Abstract

Embedded Diagonally Implicit Runge-Kutta methods of different orders are used for the treatment of delay differential equations. The delay argument is approximated using an appropriate Hermite Interpolation. The numerical results based on these methods are compared and the Q-stability region of the methods are presented.

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Published

01-12-2002

Issue

Volume 18 (December 2002)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Numerical Treatment of Delay Differential Equations by Runge-Kutta Method Using Hermite Interpolation. (2002). MATEMATIKA, 18, 79–90. https://doi.org/10.11113/matematika.v18.n.121