Numerical method for an integral-algebraic system
This paper deals with a numerical method which is applied for solving a system of integral-algebraic equations. This problem is in relationship with 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 distinguishing feature of this paper is that the integral-algebraic system has singularities, and the kernel in the integral equation is represented in the form of a Cauchy integral. The main results of this paper are illustrated by a numerical scheme, which is of second approximation order despite the singularities.
scientific article; zbMATH DE number 6844055