%0 Journal Article
%T Computational Studies of Reaction-Diffusion Systems by Nonlinear Galerkin Method
%A Miroslav Kol¨¢£¿
%J American Journal of Computational Mathematics
%P 137-146
%@ 2161-1211
%D 2013
%I Scientific Research Publishing
%R 10.4236/ajcm.2013.32022
%X <p align=\"justify\">
	<span style=\"font-family:Verdana;\">This article deals with the computational stud</span><span style=\"font-family:Verdana;\">y</span><span style=\"font-family:Verdana;\"> of the nonlinear Galerkin method, which is the extension of commonly known Faedo-Galerkin method. The weak formulation of the method is derived and applied to the particular Scott-</span><span><span style=\"font-family:Verdana;\">Wang-Showalter reaction-diffusion model concerning the problem of combustion of hydrocarbon gases. The proof of convergence of the method based on the method of compactness is introduced. Presented results of numerical simulations are composed of the computational study, where the nonlinear Galerkin method and Faedo-Galerkin method are </span><span style=\"font-family:Verdana;\">compared for the problem with analytical solution and the numerical results of the Scott-Wang-Showalter model in 1D.</span></span> 
</p>
%K Nonlinear Galerkin Method
%K Scott-Wang-Showalter Model
%K Compactness Method
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=33547