APPROXIMATE SOLUTION OF SOME HYPERSINGULAR INTEGRAL EQUATION CLASSES

Boykov Ilya Vladimirovich, Doctor of Science (in Mathematics), professor, head of sub-department of highest and applied mathematics, Penza State University
Stasuk Bogdan Miroslavovich, PhD in Mathematics, associate professor, sub-department of resistance of materials, Lvov National Polytechnic University
Tarasov Dmitriy Victorovich, Assistant professor, sub-department of highest and applied mathematics, Penza State University

517.392

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.

hypersingular integral, spline-collocation method, Hadamard's theorem.