Open AccessA Galerkin Method for a Gaseous Ignition Model
Author(s) -
Maen Salman,
Jintae Kim
Publication year - 2012
Publication title -
maǧallaẗ ǧāmiʿaẗ al-sulṭān qābūs li-l-ʿulūm/sultan qaboos university journal for science
Language(s) - English
Resource type - Journals
eISSN - 2414-536X
pISSN - 2308-3921
DOI - 10.24200/squjs.vol17iss2pp224-231
Subject(s) - galerkin method , ignition system , projection (relational algebra) , convergence (economics) , combustion , mathematics , crank , order (exchange) , discontinuous galerkin method , mathematical analysis , finite element method , algorithm , geometry , physics , thermodynamics , chemistry , organic chemistry , finance , cylinder , economics , economic growth
We consider a Galerkin procedure to solve a parabolic integrodifferential equation that arises in a gas combustion model. This model has been proposed by Kassoy and Poland, and subsequently analyzed by Bebernes, Eberly and Bressan. The problem is formulated in the variational form. In order to estimate the error, some intermediate projection has been employed. Under certain conditions on the given data, the error estimate has been obtained. A fully descretized version by using an extrapolated Crank-Nicolson method has been applied and the order of convergence derived.