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A new efficient spectral Galerkin method for singular perturbation problems

Liu, Wenbin, Shen, J. (1996) A new efficient spectral Galerkin method for singular perturbation problems. Journal of Scientific Computing, 11 (4). pp. 411-437. ISSN 0885-7474. (doi:10.1007/BF02088955) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://dx.doi.org/10.1007/BF02088955

Abstract

A new spectral Galerkin method is proposed for the convection-dominated convection-diffusion equation. This method employs a new class of trail function spaces. The available error bounds provide a clear theoretical interpretation for the higher accuracy of the new method compared to the conventional spectral methods when applied to problems with thin boundary layers. Efficient solution techniques are developed for the convection-diffusion equations by using appropriate basis functions for the new trial function spaces. The higher accuracy and the effectiveness of the new method for problems with thin boundary layers are confirmed by our numerical experiments.

Item Type: Article
DOI/Identification number: 10.1007/BF02088955
Uncontrolled keywords: Boundary layer, Convection-diffusion, Singular perturbation, Spectral-Galerkin method, Boundary layers, Error analysis, Integral equations, Numerical methods, Perturbation techniques, Problem solving, Spectrum analysis, Convection diffusion equation, Singular perturbation problems, Spectral Galerkin method, Boundary value problems
Subjects: Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis
Divisions: Faculties > Social Sciences > Kent Business School
Faculties > Social Sciences > Kent Business School > Management Science
Depositing User: Steve Wenbin Liu
Date Deposited: 27 Nov 2013 09:39 UTC
Last Modified: 29 May 2019 11:28 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/36848 (The current URI for this page, for reference purposes)
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