An alternative approach to compute wavelet connection coefficients

BULUT F.

APPLIED MATHEMATICS LETTERS, cilt.53, ss.1-9, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.aml.2015.09.009
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-9
  • Anahtar Kelimeler: Wavelets, Wavelet connection coefficients, Daubechies, Scaling function, GALERKIN METHOD, EQUATIONS
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper we present a step by step algorithm to compute the wavelet connection coefficients using Daubechies wavelets. We address the treatment of scaling function derivatives which has a potential to simplify the computation of connection coefficients. We describe the evaluation of the integrals involving products of Daubechies wavelets and their derivatives. These connection coefficients are necessary for the wavelet-Galerkin approximation of differential or integral equations. (C) 2015 Elsevier Ltd. All rights reserved.