Article ID Journal Published Year Pages File Type
4635569 Applied Mathematics and Computation 2007 13 Pages PDF
Abstract
When wavelets are used as basis functions in Galerkin approach to solve the integral equations, Integrals of the form ∫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 form∫supp(θ)f(x)θ(x)dx,θ∈{ϕ,ψ}.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 ϕ is the scaling function and ψ is the wavelet function.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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