Results 51 to 60 of about 280,356 (187)
Чисельне розв’язання методом дискретних особливостей одного сінгулярного інтегрального рівняння з ядром Гільберта [PDF]
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
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
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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
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Potential flow around two-dimensional airfoils using a singular integral method [PDF]
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
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On complex oscillation theory, quasi-exact solvability and Fredholm Integral Equations [PDF]
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
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
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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
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On the solvability of boundary value problem for mixed-type equation with a singular coefficient
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
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An Exact Solution of the Binary Singular Problem
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
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High frequency difraction by a soft circular disc. I the plane wave at normal incidence [PDF]
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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