scholarly journals A discrete Galerkin method for a catalytic combustion model

2001 ◽  
Vol 41 (12) ◽  
pp. 1545-1557
Author(s):  
M. Ganesh ◽  
D.J. Worth
Keyword(s):  
Galerkin Method ◽  
Catalytic Combustion ◽  
Combustion Model ◽  
Discrete Galerkin Method

Supplement to The Discrete Galerkin Method for Integral Equations

1987 ◽  
Vol 48 (178) ◽  
pp. S11
Author(s):  
Kendall Atkinson ◽  
Alex Bogomolny
Keyword(s):  
Galerkin Method ◽  
Integral Equations ◽  
Discrete Galerkin Method

Fully Discrete Galerkin Method For Fredholm Integro-Differential Equations With Weakly Singular Kernels

2008 ◽  
Vol 8 (3) ◽  
pp. 294-308 ◽  
Author(s):  
A. PEDAS ◽  
E. TAMME
Keyword(s):  
Galerkin Method ◽  
Inner Product ◽  
Discrete Version ◽  
Product Concept ◽  
Fully Discrete ◽  
Piecewise Polynomial Functions ◽  
Integration Techniques ◽  
Singular Kernels ◽  
Discrete Galerkin Method ◽  
The Galerkin Method

Abstract Approximations to a solution and its derivatives of a boundary value problem of an nth order linear Fredholm integro-differential equation with weakly sin-gular or other nonsmooth kernels have been determined. These approximations are piecewise polynomial functions on special graded grids. To find them, a fully discrete version of the Galerkin method has been constructed. This version is based on a dis-crete inner product concept and some suitable product integration techniques. Optimal global convergence estimates have been derived and a collection of numerical results of a test problem is given.

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.  

scholarly journals A fully discrete Galerkin method for Abel-type integral equations

2018 ◽  
Vol 44 (5) ◽  
pp. 1601-1626 ◽  
Author(s):  
Urs Vögeli ◽  
Khadijeh Nedaiasl ◽  
Stefan A. Sauter
Keyword(s):  
Galerkin Method ◽  
Integral Equations ◽  
Fully Discrete ◽  
Type Integral ◽  
Discrete Galerkin Method

scholarly journals The discrete Galerkin method for integral equations

1987 ◽  
Vol 48 (178) ◽  
pp. 595 ◽  
Author(s):  
Kendall Atkinson ◽  
Alex Bogomolny
Keyword(s):  
Galerkin Method ◽  
Integral Equations ◽  
Discrete Galerkin Method
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