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, Issue 1,Pages <nobr>100

Mathematics

Approximate solution of some classes of hypersingular integral equations

I. V. Boykov^a, B. M. Stasyuk^b, D. V. Tarasov^a

^a Penza State University, Penza
^b Lvov National Polytechnic University, Lviv, Ukraine

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