Matrix exponentiation and the Frank-Kamenetskii equation
type: Item
instance of: scholarly article
title: Matrix exponentiation and the Frank-Kamenetskii equation
zbMATH Open document ID: 1264.65071
DOI: 10.1155/2012/713798
author: E. Momoniat
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: Long time solutions to the Frank-Kamenetskii partial differential equation modelling a thermal explosion in a vessel are obtained using matrix exponentiation. Spatial derivatives are approximated by high-order finite difference approximations. A forward difference approximation to the time derivative leads to a Lawson-Euler scheme. Computations performed with a BDF approximation to the time derivative and a fourth-order Runge-Kutta approximation to the time derivative are compared to results obtained with the Lawson-Euler scheme. Variation in the central temperature of the vessel corresponding to changes in the shape parameter and Frank-Kamenetskii parameter are computed and discussed.
Mathematics Subject Classification ID: 65F60
Mathematics Subject Classification ID: 15A16
zbMATH DE Number: 6173509
Wikidata QID: Q58911623
describes a project that uses: Expint
describes a project that uses: Expokit
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/713798
OpenAlex ID: W2026347089
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description: scientific article; zbMATH DE number 6173509