Substantiation of the collocation method for one class of systems of integral equations

We present the substantiation of the collocation method for a system 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 e...

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Bibliographic Details
Date:2017
Main Authors: Khalilov, E. G., Халилов, Э. Г.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2017
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1737
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We present the substantiation of the collocation method for a system 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.