Two-Point Predictor-Corrector Block Method for Solving Delay Differential Equations

Authors

  • Fuziyah Ishak
  • Mohamed Suleiman
  • Zurni Omar

DOI:

https://doi.org/10.11113/matematika.v24.n.535

Abstract

A 2-point variable order variable stepsize block method for the numerical solution of delay differential equations is described. The predictor-corrector formulae using divided difference formulation are implemented to produce two points simultaneously. This algorithm proves to be reliable, accurate and efficient. Furthermore, numerical experiments show that the block method reduces the number of total steps when compared with 1-point sequential method. Keywords: Delay differential equations; variable order; variable stepsize; block method

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Published

01-12-2008

Issue

Volume 24 (December 2008)

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

Two-Point Predictor-Corrector Block Method for Solving Delay Differential Equations. (2008). MATEMATIKA, 24, 131-140. https://doi.org/10.11113/matematika.v24.n.535