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American Journal of Applied Mathematics and Statistics. 2014, 2(6A), 13-19
DOI: 10.12691/AJAMS-2-6A-3
Research Article

The Approximate Method for Solving the Boundary Integral Equations of the Problem of Wave Scattering by Superconducting Lattice

Maurya V.N.1, , Gandel Yu. V.2 and Dushkin V.D.3

1Department of Mathematics and Statistics, School of Science & Technology, The University of Fiji, Fiji

2Department of Mathematical Physics and Computational Mathematics, Karazin Kharkiv National University, Kharkiv, Ukraine

3Department of Fundamental Science, National Academy of NGU, Kharkiv, Ukraine

Pub. Date: November 21, 2014
(This article belongs to the Special Issue Application and Future Scope of Fundamental Mathematical and Computational Sciences in Engineering & Technology)
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Cite this paper

Maurya V.N., Gandel Yu. V. and Dushkin V.D.. The Approximate Method for Solving the Boundary Integral Equations of the Problem of Wave Scattering by Superconducting Lattice. American Journal of Applied Mathematics and Statistics. 2014; 2(6A):13-19. doi: 10.12691/AJAMS-2-6A-3

Abstract

In this article the method for numerical solution of boundary integral equations of the original problem is proposed. This method is one of the modifications of Nystrom-type methods; particularly the method of discrete vortices. The convergence of the numerical solutions to the exact solution of the problem is guaranteed by propositions proved in this article. Also, the rate of convergence of the approximate solutions to the exact solution had been found.

Keywords

singular integral equation, modification of method of discrete vortices, existence of approximate solution, the rate of convergence of the approximate solutions

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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