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

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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