Numerical method for an integral-algebraic system
type: Item
instance of: scholarly article
title: Numerical method for an integral-algebraic system
zbMATH Open document ID: 1387.78013
DOI: 10.1134/S0012266117100135
author: P. A. Krutitskii
author: V. V. Kolybasova
published in: Differential Equations
publication date: 2018-02-27T00:00:00Z
review text: 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.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 78M25
Mathematics Subject Classification ID: 78A55
Mathematics Subject Classification ID: 45E05
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65D30
zbMATH DE Number: 6844055
zbMATH Keywords: integral-algebraic system
zbMATH Keywords: oblique derivative problem
zbMATH Keywords: numerical scheme
MaRDI profile type: Publication
cites work: Q5562285
cites work: The skew derivative problem in the exterior of open curves in a plane
cites work: On the electric current from electrodes in a magnetized semiconductor film
cites work: Dirichlet's problem for the Helmholtz equation outside cuts in a plane
cites work: Neumann's problem for the Helmholtz equation outside cuts in the plane
cites work: Numerical treatment of a skew-derivative problem for the Laplace equation in the exterior of an open arc
cites work: Numerical method for the solution of integral equations in a problem with directional derivative for the Laplace equation outside open curves
full work available at URL: s0012266117100135
OpenAlex ID: W2769041371
description: scientific article; zbMATH DE number 6844055