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University proceedings. Volga region. Physical and mathematical sciences, 2010, Issue 3, Pages 28–42 (Mi ivpnz637)  
Mathematics

Approximate solution of hypersingular integral equations by zero-order spline collocation methods

I. V. Boykov, J. F. Zakharova, S. P. Alatkin

Penza State University, Penza
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Abstract: Offered spline-collocation methods of the zero order for solution of the one dimensional and multidimensional hypersingular integral equations. Received conditions of the unique solutions for wide classes of hypersingular integral equations. Estimates of error are given for one dimensional and multidimensional Prandle equations.
Keywords: hypersingular integral equations, spline-collocation methods.
Document Type: Article
UDC: 517.392
Language: Russian
Citation: I. V. Boykov, J. F. Zakharova, S. P. Alatkin, “Approximate solution of hypersingular integral equations by zero-order spline collocation methods”, University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 3, 28–42
Citation in format AMSBIB
\Bibitem{BoyZakAla10}
\by I.~V.~Boykov, J.~F.~Zakharova, S.~P.~Alatkin
\paper Approximate solution of hypersingular integral equations by zero-order spline collocation methods
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2010
\issue 3
\pages 28--42
\mathnet{http://mi.mathnet.ru/ivpnz637}
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