Constructive Method for Solving a Boundary Value Problem with Impedance Boundary Condition for the Helmholtz Equation

被引：0

作者：

E. H. Khalilov

机构：

[1] Azerbaijan State Oil and Industry University,

来源：

Differential Equations | 2018年 / 54卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We substantiate the collocation method for the singular integral equation of a boundary value problem with impedance condition for the Helmholtz equation. We construct a sequence converging to the exact solution of the original problem and estimate the error.

引用

页码：539 / 550

页数：11

共 50 条

[41] Boundary value problem for the Helmholtz equation outside cuts on the plane with boundary conditions of the third kind
P. A. Krutitskii
Differential Equations, 2007, 43 : 1420 - 1433
[42] Boundary value problem for the Helmholtz equation outside cuts on the plane with boundary conditions of the third kind
Krutitskii, P. A.
DIFFERENTIAL EQUATIONS, 2007, 43 (10) : 1420 - 1433
[43] NUMERICAL SOLUTION OF INITIAL-BOUNDARY VALUE PROBLEM FOR THE HELMHOLTZ EQUATION
Bektemesov, Maktagali A.
Kabanikhin, Sergey I.
Nurseitov, Daniyar B.
Kasenov, Syrym Y.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2014, 11 : C4 - C21
[44] ANALYTICAL SOLUTION OF BOUNDARY-VALUE PROBLEM FOR NONLINEAR HELMHOLTZ EQUATION
WILHELM, HE
JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (03) : 824 - &
[45] Fundamental Solution of Dirichlet Boundary Value Problem of Axisymmetric Helmholtz Equation
Zhang Kang-qun
CommunicationsinMathematicalResearch, 2019, 35 (01) : 21 - 26
[46] Solving the periodic boundary value problem with the initial value problem method
Li, WG
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 226 (01) : 259 - 270
[47] Using SDE for solving inverse parabolic boundary value problem with a Neumann boundary condition
Gusev, S. A.
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2007, 22 (05) : 449 - 470
[48] On an Inverse Problem for a Semilinear Parabolic Equation in the Case of Boundary Value Problem with Nonlinear Boundary Condition
Akhundov, A. Ya.
Gasanova, A. I.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2014, 4 (02): : 10 - 15
[49] On the solvability of nonlocal boundary value problem for the Helmholtz equation with the equality of flows at the part of the boundary and its conjugated problem
Moiseev, E. I.
Ambartsumyan, V. E.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2010, 21 (12) : 897 - 906
[50] Explicit solution of the helmholtz equation in the exterior of nonclosed lipschitz surfaces with an impedance boundary condition
P. A. Krutitskii
Doklady Mathematics, 2013, 88 : 660 - 663

← 1 2 3 4 5 →