DE-Sinc Method for Second Order Singularly Perturbed Boundary Value Problems
Mori, Masatake ; Nurmuhammad, Ahniyaz ; Muhammad, Mayinur
Japan J. Indust. Appl. Math., Tome 26 (2009) no. 1, p. 41-63 / Harvested from Project Euclid
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In this paper the sinc-Galerkin method, as well as the sinc-collocation method, based on the double exponential transformation (DE transformation) for singularly perturbed boundary value problems of second order ordinary differential equation is considered. A large merit of the present method exists in that we can apply the standard sinc method with only a small care for perturbation parameter. Through several numerical experiments we confirmed higher efficiency of the present method than that of other methods, e.g., sinc method based on the single exponential (SE) transformation, as the number of sampling points increases.
Publié le : 2009-02-15
Classification:  double exponential transformation,  DE formula,  DE-sinc method,  singularly perturbed problem 
@article{1244209205,
     author = {Mori, Masatake and Nurmuhammad, Ahniyaz and Muhammad, Mayinur},
     title = {DE-Sinc Method for Second Order Singularly Perturbed Boundary Value Problems},
     journal = {Japan J. Indust. Appl. Math.},
     volume = {26},
     number = {1},
     year = {2009},
     pages = { 41-63},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1244209205}
}

Mori, Masatake; Nurmuhammad, Ahniyaz; Muhammad, Mayinur. DE-Sinc Method for Second Order Singularly Perturbed Boundary Value Problems. Japan J. Indust. Appl. Math., Tome 26 (2009) no. 1, pp.  41-63. http://gdmltest.u-ga.fr/item/1244209205/