Results 11 to 20 of about 2,542,586 (278)

High frequency difraction by a soft circular disc. I the plane wave at normal incidence [PDF]

, 1971
The far scattered field off the axis of symmetry of the disc is found for a high frequency, harmonic, normally incident, plane wave. The method used is due to Jones and involves the solution of a singular integral equation of the first kind for the field
Newby, J C
core   +6 more sources

The use of spline and singular functions in an integral equation method for conformal mapping [PDF]

, 1980
We consider the integral equation method of Symm for the conformal mapping of simply-connected domains. For the numerical solution, we examine the use of spline functions of various degrees for the approximation of the source density o. In particular, we
Papamicheal, N, Hough, DM
core   +6 more sources

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

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

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
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

A singular stochastic integral equation [PDF]

Proceedings of the American Mathematical Society, 1982
This note is devoted to the discussion of the stochastic differential equation X d X + Y
Nualart, David, Sanz, Marta
openaire   +4 more sources

Exact formulae for certain integrals arising in potential theory [PDF]

, 1980
Exact formulae are derived for certain integrals arising in the solution of potential problems by integral equation ...
Hough, DM
core   +6 more sources

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