Results 31 to 40 of about 280,356 (187)
An Integral Equation Method for the Cahn-Hilliard Equation in the Wetting Problem
, 2020 We present an integral equation approach to solving the Cahn-Hilliard equation equipped with boundary conditions that model solid surfaces with prescribed Young's angles. The discretization of the system in time using convex splitting leads to a modified
Jiang, Shidong +3 more
core +1 more source
The solution of a singular integral equation with some applications in potential theory
International Journal of Mathematics and Mathematical Sciences, 1998 An analytical solution is derived for a singular integral equation which governs some twodimensional potential boundary value problems in a region exterior to n-infinite co-axial circular strips. An application in electrostatics is discussed.
N. T. Shawagfeh
doaj +1 more source
Журнал Белорусского государственного университета: Математика, информатика, 2019 The paper is constructed and proved computational scheme for a solution of singular Prandtl of integro-differential equations with singular integral over the interval of the real axis, understood in the sense of the Cauchy principal value.
Galina A. Rasolko
doaj
Generalized characteristic singular integral equation with Hilbert kernel [PDF]
Opuscula Mathematica, 2008 In this paper an explicit solution of a generalized singular integral equation with a Hilbert kernel depending on indices of characteristic operators is presented.
Paweł Karczmarek
doaj
Approximate methods for solving degenerate singular integral equations
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. Singular integral equations in degenerate cases describe many processes in natural science and technology. The theory of these equations has been studied quite well, but as far as the authors know, there are currently no analytical methods ...
Il'ya V. Boykov, Anastasiya A. Pivkina
doaj +1 more source
Elliptic perturbations for Hammerstein equations with singular nonlinear term
Electronic Journal of Differential Equations, 2006 We consider a singular elliptic perturbation of a Hammerstein integral equation with singular nonlinear term at the origin. The compactness of the solutions to the perturbed problem and, hence, the existence of a positive solution for the ...
Giuseppe Maria Coclite +1 more
doaj
A parallel‐plate waveguide antenna radiating through a perfectly conducting wedge
IET Microwaves, Antennas & Propagation, 2021 Parallel‐plate waveguide antennas hosted in an electrically perfectly conducting wedge are studied. The analysis relies on an exact singular integral equation formulation.
John L. Tsalamengas +1 more
doaj +1 more source
Solving one pseudo-Volterra integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper, we study the solvability of a second - kind pseudo-Volterra integral equation. By replacing the right - hand side and the unknown function, the integral equation is reduced to an integral equation, the kernel of which is not «compressible»
M.T. Kosmakova +4 more
doaj +1 more source
Mathematical Modelling and Analysis, 2023 A complete hypersingular integral equation of the second kind was obtained as a boundary integral equation for the diffraction and scattering problem of electromagnetic waves in space separated by the periodically placed non-perfectly conducting strips.
Oleksii V. Kostenko
doaj +1 more source
Adaptive isogeometric boundary element methods with local smoothness control
, 2019 In the frame of isogeometric analysis, we consider a Galerkin boundary element discretization of the hyper-singular integral equation associated with the 2D Laplacian.
Gantner, Gregor +2 more
core +2 more sources