ON THE COMBINATION OF SINGULAR AND HYPERSINGULAR BOUNDARY INTEGRAL EQUATIONS FOR THE NEUMANN BOUNDARY VALUE PROBLEM FOR AN ELLIPTIC EQUATION WITH VARIABLE COEFFICIENTS

被引：0

作者：

Babenko, Christina ^{[1
]}

Chapko, Roman ^{[2
]}

机构：

[1] Ukrainian Engn Pedag Acad, UA-61003 Kharkov, Ukraine

[2] Ivan Franko Natl Univ Lviv, UA-79000 Lvov, Ukraine

来源：

JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS | 2012年 / 3卷 / 109期

关键词：

Elliptic equation with variable coefficients; Levi's functions; System of boundary integral equations; Strong and hyper-singularities; Quadrature method;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the interior Neumann boundary value problem for an elliptic equation with variable coefficients. For the numerical solution of this problem we develop an approach, which leads to a system of boundary integral equations with strong- and hypersingular kernels. The full discretization is realized by the quadrature method with use of quadrature rules based on trigonometrical interpolation. The results of numerical experiments are presented.

引用

页码：1 / 10

页数：10

共 50 条

[21] A boundary value problem for an elliptic equation with asymmetric coefficients in a nonschlicht domain
Denisenko, VV
SIBERIAN MATHEMATICAL JOURNAL, 2002, 43 (06) : 1055 - 1068
[22] Interaction of Boundary Singular Points in an Elliptic Boundary Value Problem
A. M. Bogovskii
Computational Mathematics and Mathematical Physics, 2023, 63 : 1664 - 1670
[23] Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a rectangle
I. S. Malakhova
Computational Mathematics and Mathematical Physics, 2011, 51 : 1360 - 1368
[24] A Boundary Value Problem for an Elliptic Equation with Asymmetric Coefficients in a Nonschlicht Domain
V. V. Denisenko
Siberian Mathematical Journal, 2002, 43 : 1055 - 1068
[25] Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a rectangle
Malakhova, I. S.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (08) : 1360 - 1368
[26] On a boundary problem with Neumann's condition for 3D singular elliptic equations
Karimov, E. T.
APPLIED MATHEMATICS LETTERS, 2010, 23 (05) : 517 - 522
[27] Boundary Value Problem for a Mixed-Type Equation with Singular Coefficients
M. Kh. Ruziev
Russian Mathematics, 2022, 66 : 14 - 24
[28] Boundary value problem for a generalized Cauchy–Riemann equation with singular coefficients
A. B. Rasulov
A. P. Soldatov
Differential Equations, 2016, 52 : 616 - 629
[29] Boundary Value Problem for a Mixed-Type Equation with Singular Coefficients
Ruziev, M. Kh.
RUSSIAN MATHEMATICS, 2022, 66 (07) : 14 - 24
[30] ASYMPTOTICS, NEAR THE BOUNDARY, OF A SOLUTION OF A SINGULAR BOUNDARY-VALUE PROBLEM FOR A SEMILINEAR ELLIPTIC EQUATION
KONDRATEV, VA
NIKISHKIN, VA
DIFFERENTIAL EQUATIONS, 1990, 26 (03) : 345 - 348

← 1 2 3 4 5 →