Block Method for Generalised Multistep Adams and Backward Differentiation Formulae In Solving First Order ODEs

Authors

  • Zarina Bibi Ibrahim
  • Mohamed Suleiman
  • Khairil Iskandar
  • Zanariah Majid

DOI:

https://doi.org/10.11113/matematika.v21.n.511

Abstract

The performance of the Block Generalised Multistep Adams and Backward Differentiation Formulae (BGMBDF) as compared with Generalised Multistep Adams and Backward Differentiation Formulae (GMBDF) is presented. These methods are used to solve initial value problems (IVPs) for stiff and nonstiff systems of ordinary differential equations (ODEs). The results obtained show that the BGMBDF reduces the total number of steps in computation. Keywords: Block; backward differentiation formulae; steps. Closure matroid.

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Published

01-06-2005

Issue

Volume 21 (June 2005)

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

Block Method for Generalised Multistep Adams and Backward Differentiation Formulae In Solving First Order ODEs. (2005). MATEMATIKA, 21, 25-33. https://doi.org/10.11113/matematika.v21.n.511