Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630596 | Applied Mathematics and Computation | 2011 | 12 Pages |
Abstract
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.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Djordje Herceg,