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

How to Cite

Ismail, F., Al-Khasawneh, R. A., Aung, S. L., & Suleiman, M. (2002). Numerical Treatment of Delay Differential Equations by Runge-Kutta Method Using Hermite Interpolation. MATEMATIKA, 18, 79–90. https://doi.org/10.11113/matematika.v18.n.121

Issue

Section

Mathematics