Geodesic
The sinc-Galerkin method for solving singularly-perturbed reaction-diffusion problem
Electronic transactions on numerical analysis, Tome 23 (2006), pp. 129-140
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},
     year = {2006},
     volume = {23},
     zbl = {1112.65094},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__23__a11/}
}
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AU  - El-Gamel,  Mohamed
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EP  - 140
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%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
%U http://geodesic.mathdoc.fr/item/ETNA_2006__23__a11/
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%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/