Derivation of diagonally implicit block backward differentiation formulas for solving stiff initial value problems
type: Item
instance of: scholarly article
title: Derivation of diagonally implicit block backward differentiation formulas for solving stiff initial value problems
zbMATH Open document ID: 1394.65047
DOI: 10.1155/2015/179231
author: Iskandar Shah Mohd Zawawi
author: Z. B. Ibrahim
author: Khairil Iskandar Othman
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) of order two, order three, and order four are derived for solving stiff initial value problems (IVPs). The stability properties of the derived methods are investigated. The implementation of the method using Newton iteration is also discussed. The performance of the proposed methods in terms of maximum error and computational time is compared with the fully implicit block backward differentiation formulas (FIBBDF) and fully implicit block extended backward differentiation formulas (FIBEBDF). The numerical results show that the proposed method outperformed both existing methods.
Mathematics Subject Classification ID: 65L04
zbMATH DE Number: 6925676
Wikidata QID: Q59117496
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/179231
OpenAlex ID: W1977167623
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description: scientific article; zbMATH DE number 6925676