A Cauchy integral method of the solution of the 2D Dirichlet problem for simply or doubly connected domains

被引：4
|
作者：
Shirokova, Elena A. [1 ]
El-Shenawy, Atallah [1 ]
机构：
[1] Kazan Fed Univ, Lobachevsky Inst Math & Mech, Kazan, Russia
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 34卷 / 06期
关键词：
Cauchy integral; Dirichlet problem; doubly connected domain; Fredholm integral equation; Fourier polynomial; simply connected domain; POTENTIAL-THEORY; EQUATION METHODS;
D O I：
10.1002/num.22290
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we propose a new method for solving the 2D Laplace equation with Dirichlet boundary conditions in simply and doubly connected domains. Here, we apply the numerical algorithm based on truncated Fourier series and reduce the corresponding Fredholm integral equation to a finite system of linear equations.
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页码：2267 / 2278
页数：12
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