A wavelet–galerkin method for the solution partial differential equation

Dandapat, Anandita (2011) A wavelet–galerkin method for the solution partial differential equation. MSc thesis.



Wavelet function generates significant interest from both theoretical and applied research given in the last ten years. In the present project work, the Daubechies family of wavelets will be considered due to their useful properties. Since the contribution of compactly supported wavelet by Daubechies and multi resolution analysis based on Fast Fourier Transform (FWT) algorithm by Beylkin, wavelet based solution of ordinary and partial differential equations gained momentum in attractive way. Advantages of Wavelet-Galerkin Method over finite difference or element method have led to tremendous application in science and engineering.
In the present project work the Daubechies families of wavelets have been applied to solve differential equations. Solution obtained may the Daubechies-6 coefficients has been compared with exact solution. The good agreement of mathematical results , with the exact solution proves the accuracy and efficiency of Wavelet-Galerkin Method.

Item Type:Thesis ( MSc)
Uncontrolled Keywords:wavelet-galerkin, wavelet
Subjects:Mathematics and Statistics > Applied Mathematics
Divisions: Sciences > Department of Mathematics
ID Code:2218
Deposited By:anandita Dandapat
Deposited On:13 May 2011 12:05
Last Modified:13 May 2011 12:05
Supervisor(s):Ray, S S

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