Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/15197
Title: Wavelet-Galerkin method for solving parabolic equations in finite domains
Authors: Ho, SL 
Yang, SY
Keywords: Conducting problem
Connection coefficient
Parabolic equation
Transient heat
Wavelet-Galerkin method
Issue Date: 2001
Source: Finite elements in analysis and design, 2001, v. 37, no. 12, p. 1023-1037 How to cite?
Journal: Finite Elements in Analysis and Design 
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.
URI: http://hdl.handle.net/10397/15197
ISSN: 0168-874X
DOI: 10.1016/S0168-874X(01)00040-3
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