Spectral approximation for drainage of an Elastico-viscous liquid and error analysis

Journal article

Authors/Editors

Siginer, Dennis

Research Areas

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Publication Details

Author list: Akyildiz FT, Siginer DA

Publisher: Wiley

Place: MALDEN

Publication year: 2012

Journal: Numerical Methods for Partial Differential Equations (0749-159X)

Journal acronym: NUMER METH PART D E

Volume number: 28

Issue number: 2

Start page: 492

End page: 505

Number of pages: 14

ISSN: 0749-159X

eISSN: 1098-2426

Languages: English-Great Britain (EN-GB)

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Abstract

A Fourier-Galerkin spectral method is proposed and used to analyze a system of quasilinear partial differential equations governing the drainage of liquids of the Oldroyd four-constant type. It is shown that, Fourier-Galerkin approximations are convergent with spectral accuracy. An efficient and accurate algorithm based on the Fourier-Galerkin approximations to the system of quasilinear partial differential equations are developed and implemented. Numerical results indicating the high accuracy and effectiveness of this algorithm are presented. (c) 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 492505, 2012

Keywords

error analysis, Fourier-Galerkin spectral method, Oldroyd four constant model, system of quasilinear partial differential

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