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NON-POLYNOMIAL SPLINE METHOD FOR A SINGULARLY PERTURBED CONVECTION-DOMINATED DIFFUSION EQUATION

H. CAGLAR, M. F. Ucar, M. Yildirim

First published: 2010DOI pendingView metrics

Abstract

In this study, a singularly perturbed convection-dominated diffusion equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained for different perturbed values ($\epsilon$ ) of equation. The results indicate that non-polynomial spline method is effectively implemented. It is seen that results are compatible with exact solutions and consistent with other existing numerical methods.

Publication details

Title
NON-POLYNOMIAL SPLINE METHOD FOR A SINGULARLY PERTURBED CONVECTION-DOMINATED DIFFUSION EQUATION
Authors
H. CAGLAR, M. F. Ucar, M. Yildirim
Proceedings
10th International Multidisciplinary Scientific GeoConference SGEM2010
Publisher
SGEM Scientific GeoConference
Year
2010
Pages
1069-1076
SWS Citekey
Caglar201074
ISSN
Not available yet
ISBN
954-91818-1-2
Language
en
Publication type
Conference Paper
Keywords
Perturbed convection-dominated diffusion equationnon-polynomial spline
ReferencesPending
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