Title :
Numerical solution of one-dimensional biharmonic equations using Haar wavelets
Author :
Shi, Zhi ; Han, Junli
Author_Institution :
Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China
Abstract :
In this paper, an operational matrix of integration based on Haar wavelets is introduced, and a procedure for applying the matrix to solve biharmonic equations is formulated. The technique can be used for solving boundary value problems of one-dimensional biharmonic equations. The efficiency of the proposed method is tested with the aid of an example.
Keywords :
Haar transforms; boundary-value problems; integration; matrix algebra; wavelet transforms; Haar wavelets; boundary value problems; one-dimensional biharmonic equations; operational matrix; Pattern analysis; Pattern recognition; Wavelet analysis; Haar wavelet; biharmonic equation; boundary value problems; operational matrix of integration;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2009. ICWAPR 2009. International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3728-3
Electronic_ISBN :
978-1-4244-3729-0
DOI :
10.1109/ICWAPR.2009.5207423
