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https://open.uns.ac.rs/handle/123456789/13714
Title: | A uniformly accurate difference scheme for singular perturbation problem | Authors: | Surla K. Uzelac, Zorica |
Issue Date: | 1-Jan-1996 | Journal: | Indian Journal of Pure and Applied Mathematics | Abstract: | For the problem εy″ + p(χ) y′-d(χ) y = f(χ), y(0) = α 0 , y(1) = α 1 , p(χ) > 0 and d(χ) ≥ 0 a difference scheme is derived. It is proved that the errors at the grid points are bounded by Mh 4 /(ε 2 + h 2 ) where M is a constant independent of ε and step size h, for d(χ) = 0. The numerical results show that the estimate is valid when d(χ) ≠ 0. The scheme is derived via exponential spline from C 1 [0, 1]. A modification of the scheme giving better results for very small ε is also presented. | URI: | https://open.uns.ac.rs/handle/123456789/13714 | ISSN: | 195588 |
Appears in Collections: | FTN Publikacije/Publications |
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