Approximation of Derivative for a Singularly Perturbed Second-Order ODE of Robin Type with Discontinuous Convection Coefficient and Source Term
Year: 2009
Numerical Mathematics: Theory, Methods and Applications, Vol. 2 (2009), Iss. 1 : pp. 100–118
Abstract
In this paper, a singularly perturbed Robin type boundary value problem for second-order ordinary differential equation with discontinuous convection coefficient and source term is considered. A robust-layer-resolving numerical method is proposed. An $\varepsilon$-uniform global error estimate for the numerical solution and also to the numerical derivative are established. Numerical results are presented, which are in agreement with the theoretical predictions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-NMTMA-6018
Numerical Mathematics: Theory, Methods and Applications, Vol. 2 (2009), Iss. 1 : pp. 100–118
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Singular perturbation problem piecewise uniform mesh discrete derivative discontinuous convection coefficient Robin boundary conditions discontinuous source term.