The Comparison of Semi-Orthogonal Wavelet and Orthonormal Wavelet Sets for Solving Fredholm's Integral Equation of the Second Kind

• Autorzy: Šimsová J.
• Konferencja: X Polish-Czech Mathematical School (10 ; 04-07.06.2003 ; Poraj near Częstochowa, Poland)
• Języki publikacji: EN

Abstrakty

EN

The article tries to resolve Fredholm 's integral equations of the second kind by the Galerkin method. The wavelets on the bounded interval are used as the basic functions. Daubechies' orthonomal wavelets and the semi-orthogonal wavelets are used for solving Fredholm's integral equations of the second kind. The twofold results are evaluated in the function of the matrix-sparsity and the error of the approximation.

Słowa kluczowe

EN

Fredholm integral equation of second kind; wavelets; Galerkin method

PL

równanie całkowe Fredholma II rzędu; falki; metoda Galerkina

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2003
• Tom: Vol. 9
• Strony: 87--95
• Opis fizyczny: Bibliogr. 3 poz., rys.

Twórcy

autor

Šimsová J.

• J.E. Purkyně University České mládeže 8, 400 96 Ústí nad Labem, Czech Republic

Bibliografia

• [1] A. Cohen, I. Daubechies, P. Vial, Wavelets on the interval and fast wavelet transforms, Applied and Computational Harmonic Analysis 1, 54-81, 1993.
• [2] C. K. Chui, E. Quak, Wavelets on a Bounded Interval, Numerical Methods of Approximation Theory, vol. 9, 53-75, 1992.
• [3] Y. Leviatan, B.Z. Steinberg, On the use of wavelet expansions in the method of moments, IEEE Transactions on Antennas and Propagation, vol. 41, No. 5, 1993.