Results 11 to 20 of about 280,356 (187)
A Numerical Study for the Dirichlet Problem of the Helmholtz Equation
Mathematics, 2021 In this paper, an effective numerical method for the Dirichlet problem connected with the Helmholtz equation is proposed. We choose a single-layer potential approach to obtain the boundary integral equation with the density function, and then we deal ...
Yao Sun, Shijie Hao
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An explicit kernel-split panel-based Nystr\"om scheme for integral equations on axially symmetric surfaces [PDF]
, 2016 A high-order accurate, explicit kernel-split, panel-based, Fourier-Nystr\"om discretization scheme is developed for integral equations associated with the Helmholtz equation in axially symmetric domains.
Helsing, Johan, Karlsson, Anders
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Distribution theory for Schr\"odinger's integral equation [PDF]
, 2015 Much of the literature on point interactions in quantum mechanics has focused on the differential form of Schr\"odinger's equation. This paper, in contrast, investigates the integral form of Schr\"odinger's equation.
Albeverio S. +8 more
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Application of wavelets to singular integral scattering equations [PDF]
, 2004 The use of orthonormal wavelet basis functions for solving singular integral scattering equations is investigated. It is shown that these basis functions lead to sparse matrix equations which can be solved by iterative techniques.
B. M. Kessler +10 more
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Generalised Dirichelt-to-Neumann map in time dependent domains [PDF]
, 2012 We study the heat, linear Schrodinger and linear KdV equations in the domain l(t) < x < ∞, 0 < t < T, with prescribed initial and boundary conditions and with l(t) a given differentiable function.
Baratella +11 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 In the theory of ordinary differential equations, the Clairaut equation is well known. This equation is a non-linear differential equation unresolved with respect to the derivative.
Liliya Leonidovna Ryskina
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Computer Assisted Methods in Engineering and Science, 2017 Singular and hypersingular integral equations appear frequently in engineering problems. The approximate solution of these equations by using various numerical methods is well known.
Nikolaos I. Ioakimidis
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On a New Class of Singular Integro-differential Equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
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Quarkonium bound-state problem in momentum space revisited [PDF]
, 2006 A semi-spectral Chebyshev method for solving numerically singular integral equations is presented and applied in the quarkonium bound-state problem in momentum space.
Deloff, A.
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Computation of semi-analytical solutions of fuzzy nonlinear integral equations
Advances in Difference Equations, 2020 In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah +3 more
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