2017
Том 69
№ 6

All Issues

Numerical Method for the Solution of a Hypersingular Integral Equation of the Second Kind

Kostenko A. V.

Full text (.pdf)


Abstract

А numerical method for the solution of a hypersingular integral equation of the second kind obtained as a generalization of the well-known method is proposed. The existence and uniqueness theorem is proved under additional assumptions. The rate of convergence of an approximate solution to the exact solution is obtained.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 9, pp 1373-1383.

Citation Example: Kostenko A. V. Numerical Method for the Solution of a Hypersingular Integral Equation of the Second Kind // Ukr. Mat. Zh. - 2013. - 65, № 9. - pp. 1236–1244.

Full text