A Crank-Nicolson Petrov-Galerkin method with quadrature for semi-linear parabolic problems

2005 ◽  
Vol 21 (5) ◽  
pp. 918-937 ◽  
Author(s):  
B. Bialecki ◽  
M. Ganesh ◽  
K. Mustapha
Keyword(s):  
Galerkin Method ◽  
Parabolic Problems ◽  
Crank Nicolson

scholarly journals A splitting mixed space-time discontinuous Galerkin method for parabolic problems

2012 ◽  
Vol 31 ◽  
pp. 1050-1059 ◽  
Author(s):  
Siriguleng He ◽  
Hong Li ◽  
Yang Liu ◽  
Zhichao Fang ◽  
Jingbo Yang ◽  
...  
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Space Time ◽  
Parabolic Problems

scholarly journals A Galerkin Method for a Gaseous Ignition Model

2012 ◽  
Vol 17 (2) ◽  
pp. 224
Author(s):  
M. Salman ◽  
Jintae Kim
Keyword(s):  
Error Estimate ◽  
Galerkin Method ◽  
Integrodifferential Equation ◽  
Order Of Convergence ◽  
Combustion Model ◽  
Gas Combustion ◽  
Galerkin Procedure ◽  
Variational Form ◽  
The Given ◽  
Crank Nicolson

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.  

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