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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 7, Pages 1340–1348
DOI: https://doi.org/10.7868/S0044466916070103 (Mi zvmmf10432) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Justification of the collocation method for the integral equation for a mixed boundary value problem for the Helmholtz equation

E. G. Khalilov

Azerbaijan State Oil and Industry University
Full-text PDF (159 kB) Citations (12)
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DOI: https://doi.org/10.7868/S0044466916070103
Abstract: The surface integral equation for a spatial mixed boundary value problem for the Helmholtz equation is considered. At a set of chosen points, the equation is replaced with a system of algebraic equations, and the existence and uniqueness of the solution of this system is established. The convergence of the solutions of this system to the exact solution of the integral equation is proven, and the convergence rate of the method is determined.
Key words: collocation method, mixed problem, Helmholtz equation, method of surface integral equations.
Received: 18.03.2015
Revised: 07.10.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 7, Pages 1310–1318
DOI: https://doi.org/10.1134/S0965542516070101
Bibliographic databases:
Document Type: Article
UDC: 519.633.6
Language: Russian
Citation: E. G. Khalilov, “Justification of the collocation method for the integral equation for a mixed boundary value problem for the Helmholtz equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:7 (2016), 1340–1348; Comput. Math. Math. Phys., 56:7 (2016), 1310–1318
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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