We present the substantiation of the collocation method for a system of surface integral equations of the boundary-value problem of conjugation for the Helmholtz equations. Moreover, we construct a sequence convergent to the exact solution of the boundary-value problem of conjugation and estimate its error.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 6, pp. 823–835, June, 2017.
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Khalilov, É.H. Substantiation of the Collocation Method for One Class of Systems of Integral Equations. Ukr Math J 69, 955–969 (2017). https://doi.org/10.1007/s11253-017-1406-7