Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635569 | Applied Mathematics and Computation | 2007 | 13 Pages |
Abstract
When wavelets are used as basis functions in Galerkin approach to solve the integral equations, Integrals of the form â«supp(θj,k)f(x)θj,k(x)dx occur. By a change of variable, these integrals can be translated into integrals involving only θ. In this paper, we find quadrature rule on the supp(θ) for the integrals of the formâ«supp(θ)f(x)θ(x)dx,θâ{Ï,Ï}.Wavelets in this article are those discovered by Daubechies [I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math. 41 (1988) 909-996], where Ï is the scaling function and Ï is the wavelet function.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
K. Maleknejad, M. Yousefi, K. Nouri,