Wavelet-Galerkin method for solving parabolic equations in finite domains

✍ Scribed by S.L. Ho; S.Y. Yang

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 165 KB
• Volume: 37
• Category: Article
• ISSN: 0168-874X
• DOI: 10.1016/s0168-874x(01)00040-3

✦ Synopsis

A novel wavelet-Galerkin method tailored to solve parabolic equations in "nite domains is presented. The emphasis of the paper is on the development of the discretization formulations that are speci"c to "nite 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 coe$cients 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 e!ective numerical method to solve "nite domain parabolic equations.