The discrete minimum principle for quadratic spline discretization of a singularly perturbed problem

We consider a singularly perturbed boundary value problem with two small parameters. The problem is numerically treated by a quadratic spline collocation method. The suitable choice of collocation points provides the discrete minimum principle. Error bounds for the numerical approximations are established. Numerical results give justification of the parameter-uniform convergence of the numerical approximations.

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Year of publication:	2009
Authors:	Surla, K. ; Uzelac, Z. ; Teofanov, Lj.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 79.2009, 8, p. 2490-2505
Publisher:	Elsevier
Subject:	Singular perturbation \| Convection–diffusion problems \| Two small parameters \| Shishkin mesh \| Spline difference schemes

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010870345