Geodesic
Parameter-uniform fitted operator B-spline collocation method for self-adjoint singularly perturbed two-point boundary value problems
Electronic transactions on numerical analysis, Tome 30 (2008), pp. 346-358.

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

Summary: In this paper, we develop a B-spline collocation method for the numerical solution of a self-adjoint singularly perturbed boundary value problem of the form - $\epsilon (a(x)$y$^{\prime})^{\prime} + b(x)y(x) = f$ (x), $a(x) \geq a\ast > 0, b(x) \geq b\ast > 0$, a$^{\prime}$(x) $\geq 0, y(0) = \alpha , y(1) = \beta $.
Classification : 34D15, 30E25, 20B40
Keywords: B-spline collocation method, self-adjoint singularly perturbed boundary value problem, parameteruniform convergence, boundary layer, fitted operator method 
@article{ETNA_2008__30__a4,
     author = {Kadalbajoo, Mohan K. and Kumar, Devendra},
     title = {Parameter-uniform fitted operator {B-spline} collocation method for self-adjoint singularly perturbed two-point boundary value problems},
     journal = {Electronic transactions on numerical analysis},
     pages = {346--358},
     publisher = {mathdoc},
     volume = {30},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__30__a4/}
}
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Kadalbajoo, Mohan K.; Kumar, Devendra. Parameter-uniform fitted operator B-spline collocation method for self-adjoint singularly perturbed two-point boundary value problems. Electronic transactions on numerical analysis, Tome 30 (2008), pp. 346-358. http://geodesic.mathdoc.fr/item/ETNA_2008__30__a4/