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 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
Publication details
- DOI
- 10.24200/squjs.vol17iss2pp224-231
- Journal
- Sultan Qaboos University Journal for Science, 17(2), 224
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Salman, M., & Kim, J. (2012). A Galerkin Method for a Gaseous Ignition Model. Sultan Qaboos University Journal for Science, 17(2), 224. https://doi.org/10.24200/squjs.vol17iss2pp224-231
MLA 9
Salman, M., and Jintae Kim. "A Galerkin Method for a Gaseous Ignition Model." Sultan Qaboos University Journal for Science, vol. 17, no. 2, 2012, pp. 224. https://doi.org/10.24200/squjs.vol17iss2pp224-231.
Chicago (author–date)
Salman, M., and Jintae Kim. 2012. "A Galerkin Method for a Gaseous Ignition Model." Sultan Qaboos University Journal for Science 17 (2): 224. https://doi.org/10.24200/squjs.vol17iss2pp224-231.
Harvard
Salman, M. and Kim, J. (2012) 'A Galerkin Method for a Gaseous Ignition Model', Sultan Qaboos University Journal for Science, 17(2), pp. 224. doi:10.24200/squjs.vol17iss2pp224-231.
Vancouver
Salman M, Kim J. A Galerkin Method for a Gaseous Ignition Model. Sultan Qaboos University Journal for Science. 2012;17(2):224. doi:10.24200/squjs.vol17iss2pp224-231
IEEE
M. Salman, and J. Kim, "A Galerkin Method for a Gaseous Ignition Model," Sultan Qaboos University Journal for Science, vol. 17, no. 2, pp. 224, 2012, doi: 10.24200/squjs.vol17iss2pp224-231.