American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: http://www.sciepub.com/journal/ajams Editor-in-chief: Mohamed Seddeek
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American Journal of Applied Mathematics and Statistics. 2014, 2(6), 369-375
DOI: 10.12691/ajams-2-6-3
Open AccessArticle

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

Gandel Yu. V.1 and Dushkin V.D.2,

1Department of Mathematical Physics and Computational Mathematics, Karazin Kharkiv National University, Kharkiv, Ukraine

2Department of Fundamental Science, National Academy of NGU, Kharkiv, Ukraine

Pub. Date: November 19, 2014

Cite this paper:
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(6):369-375. doi: 10.12691/ajams-2-6-3

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

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