4.7 Article

Harmonic wavelet method towards solution of the Fredholm type integral equations of the second kind

期刊

APPLIED MATHEMATICS AND COMPUTATION
卷 215, 期 12, 页码 4164-4171

出版社

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2009.12.037

关键词

Harmonic wavelets; Haar wavelets; Legendre wavelets; Fredholm integral equation; Periodic multiresolution analysis; Collocation method

资金

  1. 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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