Title of article
A Galerkin Method for a Gaseous Ignition Model
Author/Authors
Salman, M. University of Qatar - Department of Mathematics, Statistics and Physics, Qatar , Kim, J. Tuskegee University - Department of Mathematics, USA
From page
224
To page
231
Abstract
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 L^2 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.
Keywords
Crank , Nicolson , Error estimate , Galerkin method , Gaseous ignition model.
Journal title
Sultan Qaboos University Journal for Science
Journal title
Sultan Qaboos University Journal for Science
Record number
2550045
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