Results 11 to 20 of about 1,299,133 (276)
Communications in Contemporary Mathematics, 2022 We show the equivalence of the classical Helmholtz equation and the fractional Helmholtz equation with arbitrary order. This improves a recent result of Guan, Murugan and Wei [Helmholtz solutions for the Fractional Laplacian and other related operators, to appear in Comm. Contemp. Math.].
Cheng, Xinyu, Li, Dong, Yang, Wen
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The method of fundamental solutions for Helmholtz-type problems [PDF]
, 2013 The purpose of this thesis is to extend the range of application of the method fundamental solutions (MFS) to solve direct and inverse geometric problems associated with two- or three-dimensional Helmholtz-type equations.
Bin-Mohsin, Bandar Abdullah
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The radial integration boundary integral and integro-differential equation methods for numerical solution of problems with variable coefficients [PDF]
, 2012 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The boundary element method (BEM) has become a powerful method for the numerical solution of boundary-value problems (BVPs), due to its ability (at least ...
Al-Jawary, Majeed
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Helmholtz Resonance in Korean Bells
International Scholastic Journal of Science, 2017 Traditional Korean bells are installed above a shallow well with a gap between the bell and the ground, effectively creating a Helmholtz resonator. During installation, the size of the well and the gap is traditionally adjusted, through trial and error ...
Junghyun Kim
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Continuous operator method application for direct and inverse scattering problems
Журнал Средневолжского математического общества, 2021 We describe the continuous operator method for solution nonlinear operator equations and discuss its application for investigating direct and inverse scattering problems.
Boykov Ilya V. +3 more
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Solution to the Modified Helmholtz Equation for Arbitrary Periodic Charge Densities
Frontiers in Physics, 2021 We present a general method for solving the modified Helmholtz equation without shape approximation for an arbitrary periodic charge distribution, whose solution is known as the Yukawa potential or the screened Coulomb potential.
Miriam Winkelmann +13 more
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PENENTUAN JENIS FUNGSI BASIS RADIAL DALAM DUAL RECIPROCITY BOUNDARY ELEMENT METHOD
Majalah Ilmiah Matematika dan Statistika, 2021 Problems involving modified Helmholtz equation are considered in this paper. To solve the problem numerically, dual reciprocity boundary element method (DRBEM) is employed.
Millatuz Zahroh
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Scattering by one-dimensional rough surfaces [PDF]
, 1994 We consider the two-dimensional Dirichlet boundary value problem for the Helmholtz equation in a non-locally perturbed half-plane. We look for a solution in the form of a double-layer potential using, as fundamental solution, the Green's function for the
Chandler-Wilde, SN, Ross, CR
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Applied Sciences, 2023 Recently, to simulate sound propagation inside architectural spaces at high frequencies, the application of computationally expensive wave-based numerical methods to room acoustics simulation is increasing gradually.
Takeshi Okuzono
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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