Geodesic
Analytical Approximation to Solutions of Singularly Perturbed Boundary Value Problems
Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 2 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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In this paper, a computational method is presented for solving a class of nonlinear singularly perturbed two-point boundary value problems with a boundary layer at the left of the underlying interval. First a zeroth order asymptotic expansion for the solution of the given singularly perturbed boundary value problem is constructed. Then the reduced terminal value problem is solved analytically using reproducing kernel Hilbert space method. This method is effective and easy to implement. Two numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method are compared with the exact solution of each example and are found to be in good agreement with each other not only in the boundary layer, but also away from the layer.
Classification : 34K13, 34B16, 46E22, 47B32. 
@article{BMMS_2010_33_2_a5,
     author = {Fazhan Geng and Minggen Cui},
     title = {Analytical {Approximation} to {Solutions} of {Singularly} {Perturbed} {Boundary} {Value} {Problems}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2010},
     volume = {33},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2010_33_2_a5/}
}
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Fazhan Geng; Minggen Cui. Analytical Approximation to Solutions of Singularly Perturbed Boundary Value Problems. Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2010_33_2_a5/