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University proceedings. Volga region. Physical and mathematical sciences, 2009, Issue 1, Pages 100–112 (Mi ivpnz673)  
Mathematics

Approximate solution of some classes of hypersingular integral equations

I. V. Boykova, B. M. Stasyukb, D. V. Tarasova

a Penza State University, Penza
b Lvov National Polytechnic University, Lviv, Ukraine
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Abstract: Spline-collocation methods for solving one-dimensional and many-dimensional hypersingular integral equations are considered. Solvability of these methods are proved. Application of these methods are demonstrated by numerical examples.
Keywords: hypersingular integral, spline-collocation method, Hadamard's theorem.
UDC: 517.392
Language: Russian
Citation: I. V. Boykov, B. M. Stasyuk, D. V. Tarasov, “Approximate solution of some classes of hypersingular integral equations”, University proceedings. Volga region. Physical and mathematical sciences, 2009, no. 1, 100–112
Citation in format AMSBIB
\Bibitem{BoyStaTar09}
\by I.~V.~Boykov, B.~M.~Stasyuk, D.~V.~Tarasov
\paper Approximate solution of some classes of hypersingular integral equations
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2009
\issue 1
\pages 100--112
\mathnet{http://mi.mathnet.ru/ivpnz673}
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