Science and Education Publishing American Journal of Applied Mathematics and Statistics 2333-4576 2 6 2014 11 19 The Approximate Method for Solving the Boundary Integral Equations of the Problem of Wave Scattering by Superconducting Lattice 369 375 EN Gandel Yu. V. Dushkin V.D. Department of Fundamental Science, National Academy of NGU, Kharkiv, Ukraine AJAMS2014263 10.12691/ajams-2-6-3 2014 10 18 2014 11 10 2014 11 19 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.