Results 51 to 60 of about 280,356 (187)

Чисельне розв’язання методом дискретних особливостей одного сінгулярного інтегрального рівняння з ядром Гільберта [PDF]

open access: yes, 2019
In the paper the method of discrete singularities is used for constructing a discrete mathematical model of a first kind singular integral equation with the Hilbert kernel in the case when the auxiliary conditions introduced to ensure the uniqueness of ...
Naboka, Olena Oleksiyivna   +1 more
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Solving a nonhomogeneous integral equation with the variable lower limit

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
An nonhomogeneous integral equation with a singular kernel is considered. A feature of the equation under study is the incompressibility of the integral operator.
M.T. Kosmakova   +3 more
doaj   +1 more source

Convergence Analysis of Generalized Jacobi-Galerkin Methods for Second Kind Volterra Integral Equations with Weakly Singular Kernels

open access: yesJournal of Function Spaces, 2017
We develop a generalized Jacobi-Galerkin method for second kind Volterra integral equations with weakly singular kernels. In this method, we first introduce some known singular nonpolynomial functions in the approximation space of the conventional Jacobi-
Haotao Cai
doaj   +1 more source

Potential flow around two-dimensional airfoils using a singular integral method [PDF]

open access: yes
The problem of potential flow around two-dimensional airfoils is solved by using a new singular integral method. The potential flow equations for incompressible potential flow are written in a singular integral equation.
Nguyen, Yves, Wilson, Dennis
core   +1 more source

On complex oscillation theory, quasi-exact solvability and Fredholm Integral Equations [PDF]

open access: yes, 2016
Biconfluent Heun equation (BHE) is a confluent case of the general Heun equation which has one more regular singular points than the Gauss hypergeometric equation on the Riemann sphere $\hat{\mathbb{C}}$.
Chiang, Yik-Man, Yu, Guo-Fu
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Volume and surface integral equations for electromagnetic scattering by a dielectric body

open access: yes, 2010
13 pagesInternational audienceWe derive and analyze two equivalent integral formulations for the time-harmonic electromagnetic scattering by a dielectric object. One is a volume integral equation (VIE) with a strongly singular kernel and the other one is
Costabel, Martin   +2 more
core   +4 more sources

An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Method

open access: yesInternational Journal of Differential Equations, 2018
An analytical-approximate method is proposed for a type of nonlinear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method (FDTM).
Rezvan Ghoochani-Shirvan   +2 more
doaj   +1 more source

On the solvability of boundary value problem for mixed-type equation with a singular coefficient

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
In this paper we study a problem with conditions on the inner characteristic and on some parts of the degeneration line for mixed type equation with singular coefficient in unbounded domain.
Menglibay Kh Ruziev
doaj   +1 more source

An Exact Solution of the Binary Singular Problem

open access: yesJournal of Function Spaces, 2014
Singularity problem exists in various branches of applied mathematics. Such ordinary differential equations accompany singular coefficients. In this paper, by using the properties of reproducing kernel, the exact solution expressions of dual singular ...
Baiqing Sun   +3 more
doaj   +1 more source

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

open access: yes, 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
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