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Reduction of Boundary Value Problem to Possio Integral Equation in Theoretical Aeroelasticity [PDF]

Journal of Applied Mathematics, 2008
The present paper is the first in a series of works devoted to the solvability of the Possio singular integral equation. This equation relates the pressure distribution over a typical section of a slender wing in subsonic compressible air flow to the ...
A. V. Balakrishnan, M. A. Shubov
doaj   +4 more sources

"Optimal quadrature formulas for approximate solution of the rst kind singular integral equation with Cauchy kernel"

Studia Universitatis Babeş-Bolyai. Mathematica, 2022
"In the present paper in $L_2^{(m)}(-1,1)$ space the optimal quadrature formulas with derivatives are constructed for approximate solution of a singular integral equation of the first kind with Cauchy kernel. Approximate solution of the singular integral
D. Akhmedov, K. Shadimetov
semanticscholar   +1 more source

On an Integral Equation with the Riemann Function Kernel

Axioms, 2022
This paper is concerned with a study of a special integral equation. This integral equation arises in many applied problems, including transmutation theory, inverse scattering problems, the solution of singular Sturm–Liouville and Shrödinger equations ...
Sergei Sitnik, Abdul Ahad Arian
doaj   +1 more source

SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN

Вестник КазНУ. Серия математика, механика, информатика, 2021
In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov, Nurtay Kudaibergenovich Gulmanov   +1 more
doaj   +1 more source

A boundary integral equation method for the fluid-solid interaction problem

Communications in Analysis and Mechanics, 2023
In this paper, a boundary integral equation method is proposed for the fluid-solid interaction scattering problem, and a high-precision numerical method is developed.
Yao Sun, Pan Wang, Xinru Lu , Bo Chen
doaj   +1 more source

The Carleman regularization technique in the modelling of the plane E‐polarized electromagnetic wave scattering by a flat system of impedance strips

IET Microwaves, Antennas & Propagation, 2021
The Carleman method of analytical regularization is used to model the plane E‐polarized electromagnetic wave scattering by flat grating of a finite number of impedance strips. It is based on a modification of the singular integral equation technique, the
George I. Koshovy, Andrew G. Koshovy
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Singular integral equation for an electric dipole taking into account the finite metal conductivity from which it is made

Физика волновых процессов и радиотехнические системы, 2022
A singular integral equation for an electric dipole has been obtained, which makes it possible to take into account the finite conductivity of the metal from which it is made.
Dmitriy S. Klyuev, Yulia V. Sokolova
doaj   +1 more source

Non-homogeneous impulsive time fractional heat conduction equation

Journal of Numerical Analysis and Approximation Theory, 2023
This article provides a concise exposition of the integral transforms and its application to singular integral equation and fractional partial differential equations.
Arman Aghili
doaj   +1 more source

To the numerical solution of singular integro-differential Prandtl equation by the method of orthogonal polynomials

Журнал Белорусского государственного университета: Математика, информатика, 2019
In the paper, computational schemes for solving the Cauchy problem for the singular integro-differential Prandtl equation with a singular integral over a segment of the real axis, understood in the sense of the Cauchy principal value, are constructed and
Galina A. Rasolko
doaj   +1 more source

Singularity formation in three-dimensional vortex sheets [PDF]

, 2003
We study singularity formation of three-dimensional (3-D) vortex sheets without surface tension using a new approach. First, we derive a leading order approximation to the boundary integral equation governing the 3-D vortex sheet.
Hou, Thomas Y., Hu, Gang, Zhang, Pingwen
core   +1 more source