Numerical Method for an Integral-Algebraic SystemстатьяИсследовательская статья
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Аннотация:We present a numerical method for solving the system of integral-algebraic equations
arising in the study of the oblique derivative problem for the Laplace equation outside
open curves on the plane. The problem describes the electric current in a semiconductor film
with curvilinear electrodes in the presence of a magnetic field. The integral-algebraic system
has singularities, and the kernel in the integral equation is represented in the form of a Cauchy
integral. The numerical scheme is of the second approximation order despite the singularities.