Results 281 to 290 of about 63,984 (305)

Modified variational iteration method for solving Helmholtz equations

Computational Mathematics and Modeling, 2009
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Noor, M. A., Mohyud-Din, S. T.
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Tikhonov type regularization method for the Cauchy problem of the modified Helmholtz equation

Applied Mathematics and Computation, 2008
The authors cast the ill-posed Cauchy problem for a modified Helmholtz equation into a Hausdorff moment problem and solve it by a Tikhonov type regularization method. Error estimates, convergence analysis as well as some numerical experiments are carried out.
H. H. Qin, D. W. Wen
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Reconstruction algorithms of an inverse geometric problem for the modified Helmholtz equation

Computational and Applied Mathematics, 2019
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On modified Green functions in exterior problems for the Helmholtz equation

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1982
Abstract The question of non-uniqueness in boundary integral equation formu­lations of exterior problems for the Helmholtz equation has recently been resolved with the use of additional radiating multipoles in the definition of the Green function. The present note shows how this modification may be included in a rigorous formalism and
Kleinman, R. E., Roach, G. F.
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Higher order three-dimensional fundamental solutions to the Helmholtz and the modified Helmholtz equations

Engineering Analysis with Boundary Elements, 1995
Abstract The higher order 3-D fundamental solutions to the Helmholtz and the modified Helmholtz equations have been derived. The Lth order fundamental solution for the 3-D Helmholtz equation has the form of a spherical Bessel function multiplied by a distance to the power L.
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Modified Helmholtz integral equation for bodies sitting on an infinite plane

The Journal of the Acoustical Society of America, 1989
This article presents a modified version of the Helmholtz integral equation for bodies sitting on an infinite plane. By using dummy integration elements on the bottom surface, the coefficient C(P) of the Helmholtz integral equation can be evaluated by a closed contour.
A. F. Seybert, T. W. Wu
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A note on the CVBEM for the two‐dimensional Helmholtz equation or its modified form

Communications in Numerical Methods in Engineering, 2002
AbstractA complex variable boundary element method is outlined for the numerical solution of the two‐dimensional Helmholtz equation or its modified form in a simply connected region subject to suitable boundary conditions. It is applied to solve a specific test problem. Copyright © 2002 John Wiley & Sons, Ltd.
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An adaptive fast solver for the modified Helmholtz equation in two dimensions

Journal of Computational Physics, 2006
Jingfang Huang
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Modified Tikhonov regularization method for the Cauchy problem of the Helmholtz equation

Journal of Computational and Applied Mathematics, 2009
Ting Wei
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A novel Trefftz method of the inverse Cauchy problem for 3D modified Helmholtz equation

Inverse Problems in Science and Engineering, 2017
Chein-Shan Liu, Wenzhen Qu, Wen Chen
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