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

F. Talay Akyildiz, Dennis A. Siginer

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)492-505
Number of pages14
JournalNumerical Methods for Partial Differential Equations
Volume28
Issue number2
DOIs
Publication statusPublished - Mar 1 2012

Fingerprint

Spectral Approximation
Error Analysis
Error analysis
Drainage
Partial differential equations
Galerkin Approximation
Liquid
Liquids
Partial differential equation
Spectral Galerkin Method
High Accuracy
Numerical Results

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

@article{b82b215d8bf94ffda8cafe91c9dd38eb,
title = "Spectral approximation for drainage of an Elastico-viscous liquid and error analysis",
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.",
author = "Akyildiz, {F. Talay} and Siginer, {Dennis A.}",
year = "2012",
month = "3",
day = "1",
doi = "10.1002/num.20630",
language = "English",
volume = "28",
pages = "492--505",
journal = "Numerical Methods for Partial Differential Equations",
issn = "0749-159X",
publisher = "John Wiley and Sons Inc.",
number = "2",

}

Spectral approximation for drainage of an Elastico-viscous liquid and error analysis. / Akyildiz, F. Talay; Siginer, Dennis A.

In: Numerical Methods for Partial Differential Equations, Vol. 28, No. 2, 01.03.2012, p. 492-505.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Spectral approximation for drainage of an Elastico-viscous liquid and error analysis

AU - Akyildiz, F. Talay

AU - Siginer, Dennis A.

PY - 2012/3/1

Y1 - 2012/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84856269143&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856269143&partnerID=8YFLogxK

U2 - 10.1002/num.20630

DO - 10.1002/num.20630

M3 - Article

AN - SCOPUS:84856269143

VL - 28

SP - 492

EP - 505

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

SN - 0749-159X

IS - 2

ER -