On the integration of stiff odes using block backward differentiation formulas of order six

Amiratul Ashikin Nasarudin, Zarina Bibi Ibrahim*, Haliza Rosali

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (SciVal)
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Abstract

In this research, a six-order, fully implicit Block Backward Differentiation Formula with two off-step points (BBDFO(6), for the integration of first-order ordinary differential equations (ODEs) that exhibit stiffness, is proposed. The order, consistency and stability properties of the method are discussed, and the method is found to be zero stable and consistent. Hence, the method is convergent. The numerical comparisons with the existing methods of a similar type are given to demonstrate the accuracy of the derived method.

Original languageEnglish
Article number952
JournalSymmetry
Volume12
Issue number6
DOIs
Publication statusPublished - 4 Jun 2020

Keywords

  • Block backward differentiation formula
  • Fully implicit
  • Off-step point

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

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