Results 21 to 30 of about 280,356 (187)
Физика волновых процессов и радиотехнические системы, 2019 The singular integral equation of a thin tubular vibrator is considered. This paper analyzed the dependence of the eigenvalues of the integral operator of the singular integral equation on the frequency and geometric dimensions of the vibrator with the ...
D.P. Tabakov, A.G. Mayorov
doaj +1 more source
A Regularization of Fredholm type singular integral equations
International Journal of Mathematics and Mathematical Sciences, 2001 We present a method to regularize first and second kind integral equations of Fredholm type with singular kernel. By appropriate application of the Poincaré-Bertrand formula we change such integral equations into a second kind Fredholm's integral ...
N. Aliev, S. Mohammad Hosseini
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 d Y = 0 XdX + YdY = 0 , X X and Y Y being continuous local martingales. A method to construct solutions of this equation is given.
Nualart, David, Sanz, Marta
openaire +4 more sources
, 2017 The general space-time evolution of the scattering of an incident acoustic plane wave pulse by an arbitrary configuration of targets is treated by employing a recently developed non-singular boundary integral method to solve the Helmholtz equation in the
Chan, Derek Y. C. +2 more
core +1 more source
To the solution of one pseudo-Volterra integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper, we study a homogeneous singular integral Volterra equation of the second kind (pseudoVolterra integral equation). The singularity of the integral equation is shown. Properties of its kernel are proved.
M.T. Jenaliyev +3 more
doaj +1 more source
MathematicsIn this paper, for a mixed elliptic-hyperbolic type equation with various degeneration orders and singular coefficients, theorems of uniqueness and existence of the solution to the problem with a missing Tricomi condition on boundary characteristic and ...
Assel Makulbay +3 more
doaj +1 more source
Fractal and Fractional, 2023 The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is discussed such that the kernel of position can take the Hilbert kernel form, Carleman function, logarithmic form, or Cauchy kernel. Using the quadrature method, the NVFIE
Sahar M. Abusalim +3 more
doaj +1 more source
Fractal and FractionalThis work studies an integro-fractional differential equation (I-FrDE) with a generalized symmetric singular kernel. The scientific approach in this study was to transform the integro-differential equation (I-DE) into a mixed integral equation (MIE) with
Sameeha A. Raad, Mohammed A. Abdou
doaj +1 more source
Fast algorithms for Quadrature by Expansion I: Globally valid expansions
, 2017 The use of integral equation methods for the efficient numerical solution of PDE boundary value problems requires two main tools: quadrature rules for the evaluation of layer potential integral operators with singular kernels, and fast algorithms for ...
Klöckner, Andreas +2 more
core +1 more source
Numerical analysis of a singular integral equation [PDF]
, 2005 This is a PDF version of a preprint submitted to Elsevier. The definitive version was published in Applied mathematics and computation and is available at www.elsevier.comThis preprint discusses the numerical analysis of an integral equation to which ...
Diogo, Teresa +3 more
core +1 more source