A class of hybrid multistep block methods with a-stability for the numerical solution of stiff ordinary differential equations

Zarina Bibi Ibrahim*, Amiratul Ashikin Nasarudin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
3 Downloads (Pure)

Abstract

Recently, block backward differentiation formulas (BBDFs) are used successfully for solving stiff differential equations. In this article, a class of hybrid block backward differentiation formulas (HBBDFs) methods that possessed A-stability are constructed by reformulating the BBDFs for the numerical solution of stiff ordinary differential equations (ODEs). The stability and convergence of the new method are investigated. The methods are found to be zero-stable and consistent, hence the method is convergent. Comparisons between the proposed method with exact solutions and existing methods of similar type show that the new extension of the BBDFs improved the stability with acceptable degree of accuracy.

Original languageEnglish
Article number914
JournalMathematics
Volume8
Issue number6
DOIs
Publication statusPublished - 4 Jun 2020

Keywords

  • A-stability
  • Consistent
  • Stiff
  • Zero-stable

ASJC Scopus subject areas

  • Mathematics(all)

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