Geodesic
The sinc-Galerkin method for solving singularly-perturbed reaction-diffusion problem
Electronic transactions on numerical analysis, Tome 23 (2006), pp. 129-140.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: One of the new techniques used in solving boundary-value problems involving partial differential equations is the Sinc-Galerkin method. In this paper we solve the singularly-perturbed reaction-diffusion problem using the Sinc-Galerkin method. The scheme is tested on four problems and a comparison with finite element methods and the method of reduction of order is made. It is show that the Sinc-Galerkin method yields better results.
Classification : 65N30, 65T60, 35K05, 42C40
Keywords: sinc function, sinc-Galerkin, singularly perturbed, reaction-diffusion, numerical solutions 
@article{ETNA_2006__23__a11,
     author = {El-Gamel, Mohamed},
     title = {The {sinc-Galerkin} method for solving singularly-perturbed reaction-diffusion problem},
     journal = {Electronic transactions on numerical analysis},
     pages = {129--140},
     publisher = {mathdoc},
     volume = {23},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__23__a11/}
}
TY  - JOUR
AU  - El-Gamel, Mohamed
TI  - The sinc-Galerkin method for solving singularly-perturbed reaction-diffusion problem
JO  - Electronic transactions on numerical analysis
PY  - 2006
SP  - 129
EP  - 140
VL  - 23
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ETNA_2006__23__a11/
LA  - en
ID  - ETNA_2006__23__a11
ER  - 
%0 Journal Article
%A El-Gamel, Mohamed
%T The sinc-Galerkin method for solving singularly-perturbed reaction-diffusion problem
%J Electronic transactions on numerical analysis
%D 2006
%P 129-140
%V 23
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ETNA_2006__23__a11/
%G en
%F ETNA_2006__23__a11
El-Gamel, Mohamed. The sinc-Galerkin method for solving singularly-perturbed reaction-diffusion problem. Electronic transactions on numerical analysis, Tome 23 (2006), pp. 129-140. http://geodesic.mathdoc.fr/item/ETNA_2006__23__a11/