Results 11 to 20 of about 6,679 (246)

A Regularization Method to Solve a Cauchy Problem for the Two-Dimensional Modified Helmholtz Equation

Mathematics, 2019
In this paper, the ill-posed problem of the two-dimensional modified Helmholtz equation is investigated in a strip domain. For obtaining a stable numerical approximation solution, a mollification regularization method with the de la Vallée Poussin ...
Shangqin He, Xiufang Feng
doaj   +3 more sources

Modified boundary integral formulations for the Helmholtz equation

Journal of Mathematical Analysis and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Olaf Steinbach
exaly   +2 more sources

Modified regularization method for the Cauchy problem of the Helmholtz equation

Applied Mathematical Modelling, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ting Wei
exaly   +3 more sources

A New Modified Helmholtz Equation for the Expression of the Gravity Gradient and the Intensity of an Electrostatic Field in Spherical Harmonics

Mathematics, 2023
In this work, it is shown that the geometry of a gravity field generated by a spheroid with low eccentricity can be described with the help of a newly modified Helmholtz equation.
Gerassimos Manoussakis
doaj   +1 more source

Mean Value Properties of Solutions to the Helmholtz and Modified Helmholtz Equations [PDF]

Journal of Mathematical Sciences, 2021
11 pages, no ...
openaire   +2 more sources

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
doaj   +1 more source

A Modified SSOR Preconditioning Strategy for Helmholtz Equations [PDF]

Journal of Applied Mathematics, 2011
The finite difference method discretization of Helmholtz equations usually leads to the large spare linear systems. Since the coefficient matrix is frequently indefinite, it is difficult to solve iteratively. In this paper, a modified symmetric successive overrelaxation (MSSOR) preconditioning strategy is constructed based on the coefficient matrix and
Wu, Shi-Liang, Li, Cui-Xia
openaire   +5 more sources

Solving the Helmholtz Equation Together with the Cauchy Boundary Conditions by a Modified Quasi-Reversibility Regularization Method

Journal of Mathematics, 2022
The Quasi-Reversibility Regularization Method (Q-RRM) provides stable approximate solution of the Cauchy problem of the Helmholtz equation in the Hilbert space by providing either additional information in the Laplace-type operator in the Helmholtz ...
Benedict Barnes, Isaac Addai, Francis Ohene Boateng, Ishmael Takyi   +3 more
doaj   +1 more source

Application of DRBEM for 2D sine-Gordon equation

Journal of Taibah University for Science, 2021
This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
doaj   +1 more source

A diffraction problem for the biharmonic wave equation in one-dimensional periodic structures

Results in Applied Mathematics, 2023
This work concerns the propagation of flexural waves through one-dimensional periodic structures embedded in thin elastic plates. We show that the out-of-plane displacement of the plate only contains the Helmholtz wave component and the modified ...
Junhong Yue, Peijun Li, Xiaokai Yuan, Xiaopeng Zhu   +3 more
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