Solutions of hypersingular integral equations over circular domains by a spectral method

Farina, Leandro, and Ziebell, Juliana S.. "Solutions of hypersingular integral equations over circular domains by a spectral method." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 52-66. <http://eudml.org/doc/287852>.

@inProceedings{Farina2013,
abstract = {The problem of a solving a class of hypersingular integral equations over the boundary of a nonplanar disc is considered. The solution is obtained by an expansion in basis functions that are orthogonal over the unit disc. A Fourier series in the azimuthal angle, with the Fourier coefficients expanded in terms of Gegenbauer polynomials is employed. These integral equations appear in the study of the interaction of water waves with submerged thin plates.},
author = {Farina, Leandro, Ziebell, Juliana S.},
booktitle = {Applications of Mathematics 2013},
keywords = {hypersingular integral equations; boundary perturbation method; expansion-collocation method; Chebyshev polynomials; Gegenbauer polynomials; water waves},
location = {Prague},
pages = {52-66},
publisher = {Institute of Mathematics AS CR},
title = {Solutions of hypersingular integral equations over circular domains by a spectral method},
url = {http://eudml.org/doc/287852},
year = {2013},
}

TY - CLSWK
AU - Farina, Leandro
AU - Ziebell, Juliana S.
TI - Solutions of hypersingular integral equations over circular domains by a spectral method
T2 - Applications of Mathematics 2013
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 52
EP - 66
AB - The problem of a solving a class of hypersingular integral equations over the boundary of a nonplanar disc is considered. The solution is obtained by an expansion in basis functions that are orthogonal over the unit disc. A Fourier series in the azimuthal angle, with the Fourier coefficients expanded in terms of Gegenbauer polynomials is employed. These integral equations appear in the study of the interaction of water waves with submerged thin plates.
KW - hypersingular integral equations; boundary perturbation method; expansion-collocation method; Chebyshev polynomials; Gegenbauer polynomials; water waves
UR - http://eudml.org/doc/287852
ER -