An accurate block solver for stiff initial value problems
type: Item
instance of: scholarly article
title: An accurate block solver for stiff initial value problems
zbMATH Open document ID: 1298.65048
DOI: 10.1155/2013/567451
author: H. Musa
author: M. B. Suleiman
author: F. Ismail
author: N. Senu
author: Z. B. Ibrahim
published in: ISRN Applied Mathematics
publication date: 2014-11-11T00:00:00Z
review text: Summary: New implicit block formulae that compute solution of stiff initial value problems at two points simultaneously are derived and implemented in a variable step size mode. The strategy for changing the step size for optimum performance involves halving, increasing by a multiple of 1.7, or maintaining the current step size. The stability analysis of the methods indicates their suitability for solving stiff problems. Numerical results are given and compared with some existing backward differentiation formula algorithms. The results indicate an improvement in terms of accuracy.
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 35M99
zbMATH DE Number: 6368309
Wikidata QID: Q58997670
describes a project that uses: MEBDF
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/567451
OpenAlex ID: W1994254567
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description: scientific article; zbMATH DE number 6368309