2017
Том 69
№ 9

All Issues

Approximate solution of singular integral equations of the convolution type by Galerkn's method

Ivanov V. V., Karagodova E. A.

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Abstract

This paper discusses the question of finding an approximate solution of equation (2) by a procedure of the Galerkin type for any index. A theorem on the convergence ol the approximate solution to the exact solution in space $L_2$ is proved. An example on the shore refraction of a plane electromagnetic wave is solved.

Citation Example: Ivanov V. V., Karagodova E. A. Approximate solution of singular integral equations of the convolution type by Galerkn's method // Ukr. Mat. Zh. - 1961. - 13, № 1. - pp. 28-38.

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