Wavelet-Galerkin method for solving parabolic equations in finite domains

Siu Lau Ho, S. Y. Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

23 Citations (Scopus)

Abstract

A novel wavelet-Galerkin method tailored to solve parabolic equations in finite domains is presented. The emphasis of the paper is on the development of the discretization formulations that are specific to finite domain parabolic equations with arbitrary boundary conditions based on weak form functionals. The proposed method also deals with the development of algorithms for computing the associated connection coefficients at arbitrary points. Here the Lagrange multiplier method is used to enforce the essential boundary conditions. The numerical results on a two-dimensional transient heat conducting problem are used to validate the proposed wavelet-Galerkin algorithm as an effective numerical method to solve finite domain parabolic equations.
Original languageEnglish
Pages (from-to)1023-1037
Number of pages15
JournalFinite Elements in Analysis and Design
Volume37
Issue number12
DOIs
Publication statusPublished - 1 Nov 2001

Keywords

  • Conducting problem
  • Connection coefficient
  • Parabolic equation
  • Transient heat
  • Wavelet-Galerkin method

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics

Cite this