DocumentCode
2860698
Title
Notice of Retraction
Haar wavelet method for solving wave equation
Author
Zhi Shi ; Tao Liu ; Bo Gao
Author_Institution
Sch. of Sci., Xi´an Univ. of Archit. & Technol., Xi´an, China
Volume
12
fYear
2010
fDate
22-24 Oct. 2010
Abstract
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
In this paper, an operational matrix of integration based on the Haar wavelet is established, and the procedure for applying the matrix to solve the wave equation which satisfies the boundary conditions and initial conditions is formulated. The fundamental idea of Haar wavelet method is to convert the wave equation into a group of algebra equations which involves a finite number of variables. The examples are given to demonstrate the fast and flexible of the method, in the mean time, it is found that the trouble of Daubechies wavelets for solving the differential equation which need to calculate the correlation coefficients is avoided. The method can be used to deal with all the other differential and integral equations.
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
In this paper, an operational matrix of integration based on the Haar wavelet is established, and the procedure for applying the matrix to solve the wave equation which satisfies the boundary conditions and initial conditions is formulated. The fundamental idea of Haar wavelet method is to convert the wave equation into a group of algebra equations which involves a finite number of variables. The examples are given to demonstrate the fast and flexible of the method, in the mean time, it is found that the trouble of Daubechies wavelets for solving the differential equation which need to calculate the correlation coefficients is avoided. The method can be used to deal with all the other differential and integral equations.
Keywords
differential equations; integral equations; wave equations; Daubechies wavelet Method; Haar wavelet method; algebra equation; correlation coefficient; differential equation; group theory; integral equation; wave equation; Boundary conditions; Equations; Mathematical model; Modeling; Propagation; Wavelet analysis; Wavelet transforms; function approximation; haar wavelet; operational matrix; wave equation;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location
Taiyuan
Print_ISBN
978-1-4244-7235-2
Type
conf
DOI
10.1109/ICCASM.2010.5622402
Filename
5622402
Link To Document