Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 215, Issue 12, Pages 4164-4171Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2009.12.037
Keywords
Harmonic wavelets; Haar wavelets; Legendre wavelets; Fredholm integral equation; Periodic multiresolution analysis; Collocation method
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Funding
- Istituto Nazionale di Alta Matematica Francesco Severi (INdAM) [U 2008/000564, 21/11/2008]
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Periodic harmonic wavelets (PHW) were applied as basis functions in solution of the Fredholm integral equations of the second kind. Two equations were solved in order to find out advantages and disadvantages of such choice of the basis functions. It is proved that PHW satisfy the properties of the multiresolution analysis. (C) 2009 Elsevier Inc. All rights reserved.
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