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https://open.uns.ac.rs/handle/123456789/12288
Title: | A uniform numerical method for semilinear reaction-diffusion problems with a boundary turning point | Authors: | Vulanović R. Teofanov, Ljiljana |
Issue Date: | 1-Jan-2010 | Journal: | Numerical Algorithms | Abstract: | Motivated by problems arising in semiconductor-device modeling, this paper is concerned with a singularly perturbed semilinear reaction-diffusion problem with a boundary turning point. It is proved that the problem has a unique solution with two boundary layers. Based on the estimates of the derivatives of the solution, a numerical method is proposed which uses the classical finite-difference discretization on a Bakhvalov-type mesh. Second-order accuracy, uniform with respect to the perturbation parameter, is proved in the maximum norm. Numerical results are presented in support of the theoretical ones. © 2009 Springer Science+Business Media, LLC. | URI: | https://open.uns.ac.rs/handle/123456789/12288 | ISSN: | 10171398 | DOI: | 10.1007/s11075-009-9344-6 |
Appears in Collections: | FTN Publikacije/Publications |
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