Title :
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
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;
Conference_Titel :
India Conference (INDICON), 2014 Annual IEEE
Conference_Location :
Pune
Print_ISBN :
978-1-4799-5362-2
DOI :
10.1109/INDICON.2014.7030425
