Fourth-order finite-difference method for boundary value problems with two small parameters

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Назив:	Fourth-order finite-difference method for boundary value problems with two small parameters
Аутори:	Herceg, Đorđe
Датум издавања:	15-сеп-2011
Часопис:	Applied Mathematics and Computation
Сажетак:	We present a finite difference scheme for a class of linear singularly perturbed boundary value problems with two small parameters. The problem is discretized using a Bakhvalov-type mesh. It is proved under certain conditions that this scheme is fourth-order accurate and that its error does not increase when the perturbation parameter tends to zero. Numerical examples are presented which demonstrate computationally the fourth order of the method. © 2011 Elsevier Inc. All rights reserved.
URI:	https://open.uns.ac.rs/handle/123456789/13746
ISSN:	00963003
DOI:	10.1016/j.amc.2011.05.113
Налази се у колекцијама:	PMF Publikacije/Publications