Numerical method for an integral-algebraic system |
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Authors: | P A Krutitskii V V Kolybasova |
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Institution: | 1.Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences,Moscow,Russia;2.Lomonosov Moscow State University,Moscow,Russia |
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Abstract: | 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. |
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