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Zbl 1186.65160
Cattani, C.; Kudreyko, A.
Harmonic wavelet method towards solution of the Fredholm type integral equations of the second kind.
(English)
[J] Appl. Math. Comput. 215, No. 12, 4164-4171 (2010). ISSN 0096-3003

Summary: Periodic harmonic wavelets (PHW) are applied as basis functions in solution of the Fredholm integral equations of the second kind. Two equations are 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.
MSC 2000:
*65R20 Integral equations (numerical methods)
45B05 Fredholm integral equations
65T60 Wavelets

Keywords: harmonic wavelets; Haar wavelets; Legendre wavelets; Fredholm integral equation; periodic multiresolution analysis; collocation method; numerical examples

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