Evaluation of wavelet connection coefficients by wavelet-Galerkin approximation

Author

Wale, S.S. ; Asutkar, V.G.

Author_Institution

SGGS Inst. of Eng. & Technol., Nanded, India

fYear

2014

fDate

11-13 Dec. 2014

Firstpage

1

Lastpage

6

Abstract

In this paper, scaling function (Φ), wavelet filter coefficients, three term connection coefficients (Ω) and the integrals (Λ) are evaluated. A wavelet-Galerkin approximation method is used to evaluate connection coefficients. Here we have calculated the wavelet connection coefficients for db3 wavelet. The wavelet-Galerkin scheme involves the evaluation of connection coefficients to approximate derivatives and integrals. This evaluated connection coefficients are useful for solving differential equations.

Keywords

Galerkin method; approximation theory; differential equations; integral equations; wavelet transforms; db3 wavelet; differential equations; integrals; scaling function; three term connection coefficients; wavelet connection coefficients; wavelet filter coefficients; wavelet-Galerkin approximation; Approximation methods; Differential equations; Eigenvalues and eigenfunctions; Mathematical model; Polynomials; Vectors; integrals (Λ); scaling function (Φ); three term connection coefficients (Ω); wavelet filter coefficients; wavelet-Galerkin approximation method;

fLanguage

English

Publisher

ieee

Conference_Titel

India Conference (INDICON), 2014 Annual IEEE

Conference_Location

Pune

Print_ISBN

978-1-4799-5362-2

Type

conf

DOI

10.1109/INDICON.2014.7030425

Filename

7030425