On the Stability of Fully Implicit Block Backward Differentiation Formulae

Authors

  • Zarina Bibi Ibrahim
  • Rozita Johari
  • Fudziah Ismail
  • Mohamed Suleiman

DOI:

https://doi.org/10.11113/matematika.v19.n.504

Abstract

This paper focuses on obtaining stability regions of numerical methods for ordinary differential equations (ODEs). In particular, the aim of this paper is to construct a stability region for method of Two Point Block Backward Differentiation Formulae (BDF). For the method to be of practical importance, the stability region must cover the whole of the negative half-plane. Keywords: Stability region; block; backward differentiation formulae.

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Published

01-12-2003

Issue

Volume 19 (December 2003)

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

On the Stability of Fully Implicit Block Backward Differentiation Formulae. (2003). MATEMATIKA, 19, 83–89. https://doi.org/10.11113/matematika.v19.n.504