Method of the Boundary Integral Equation for the Parabolic Equation on a Curved Surface

被引：0

作者：

Shanin, A. V. ^{[1
]}

Korolkov, A. I. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

2017 PROGRESS IN ELECTROMAGNETICS RESEARCH SYMPOSIUM - SPRING (PIERS) | 2017年

基金：

俄罗斯科学基金会;

关键词：

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The problem of diffraction of a scalar wave by a circular cone in the case of an axially-symmetric incidence is studied. The consideration is held in the parabolic approximation. The problem is reduced to one-dimensional Volterra-type integral equations using the method of the boundary integral equation. The equation is solved analytically.

引用

页码：1454 / 1459

页数：6

共 50 条

[1] Boundary integral equation method for the parabolic equation on the curved surface
Shanin, A. V.
Korolkov, A. I.
2017 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA), 2017, : 700 - 703
[2] Boundary Integral Equation and the Problem of Diffraction by a Curved Surface for the Parabolic Equation of Diffraction Theory
Shanin A.V.
Korolkov A.I.
Journal of Mathematical Sciences, 2017, 226 (6) : 817 - 830
[3] Combining Parabolic Equation Method with Surface Integral Equations
Mikhailov, M. S.
Komarov, A. A.
2019 PHOTONICS & ELECTROMAGNETICS RESEARCH SYMPOSIUM - SPRING (PIERS-SPRING), 2019, : 1967 - 1970
[4] SOLUTION OF A PROBLEM WITH A DIRECTIONAL DERIVATIVE FOR A PARABOLIC EQUATION, BY THE BOUNDARY-INTEGRAL-EQUATION METHOD
BADERKO, EA
DIFFERENTIAL EQUATIONS, 1989, 25 (01) : 9 - 14
[5] A boundary integral equation method for the heat equation
Langdon, S
INTEGRAL METHODS IN SCIENCE AND ENGINEERING, 2000, 418 : 211 - 216
[6] A novel boundary integral equation method for linear elasticity - Natural boundary integral equation
Niu, ZR
Wang, XX
Zhou, HL
Zhang, CL
ACTA MECHANICA SOLIDA SINICA, 2001, 14 (01) : 1 - 10
[7] Boundary Value Problems for a Parabolic Equation with Integral Conditions
N. I. Ivanchov
Differential Equations, 2004, 40 : 591 - 609
[8] A boundary integral equation method for numerical solution of parabolic and hyperbolic Cauchy problems
Chapko, Roman
Johansson, B. Tomas
APPLIED NUMERICAL MATHEMATICS, 2018, 129 : 104 - 119
[9] Diffraction by a thin cone in the parabolic approximation. Method of the boundary integral equation
Korolkov, A. I.
Shanin, A. V.
2017 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA), 2017, : 696 - 699
[10] Boundary value problems for a parabolic equation with integral conditions
Ivanchov, NI
DIFFERENTIAL EQUATIONS, 2004, 40 (04) : 591 - 609

← 1 2 3 4 5 →