Численный метод решения системы гиперсингулярных интегральных уравнений второго рода и его обоснование / Костенко А. В. (2016)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2016, 52 (3))

Kostenko O.V.
A numerical method of solution of a system of hypersingular integral equations of second kind

A numerical method for solving a system of hypersingular integral equations of the second kind is presented. The theorem on the existence and uniqueness of a solution to such a system is proved. The rate of convergence of an approximate solution to the exact solution is estimated. © 2016, Springer Science+Business Media New York.

Keywords: convergence rate, existence and uniqueness of solutions, integral in the sense of the Hadamard finite part, numerical method, system of integral equations, Convergence of numerical methods, Numerical methods, Approximate solution, Convergence rates, Existence and uniqueness, Existence and uniqueness of solution, Hadamard, Hypersingular integral equation, Rate of convergence, System of integral equations, Integral equations


Cite:
Kostenko O.V. (2016). A numerical method of solution of a system of hypersingular integral equations of second kind. Cybernetics and Systems Analysis, 52 (3), 67-82. doi: https://doi.org/10.1007/s10559-016-9840-3 http://jnas.nbuv.gov.ua/article/UJRN-0000502505 [In Russian].


 

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