A G-Modified Helmholtz Equation with New Expansions for the Earth’s Disturbing Gravitational Potential, Its Functionals and the Study of Isogravitational Surfaces [PDF]
AppliedMathThe G-modified Helmholtz equation is a partial differential equation that enables us to express gravity intensity g as a series of spherical harmonics having radial distance r in irrational powers.
Gerassimos Manoussakis
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Two‐dimensional source potentials in a two‐fluid medium for the modified Helmholtz′s equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1986 Velocity potentials describing the irrotational infinitesimal motion of two superposed inviscid and incompressible fluids under gravity with a horizontal plane of mean surface of separation, are derived due to a vertical line source present in either of the fluids, whose strength, besides being harmonic in time, varies sinusiodally along its length ...
B. N. Mandal, Rathindra Nath Chakrabarti
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Modified Explicit Decoupled Group Scheme οn Helmholtz Equation
International Journal of Applied Mathematics and Informatics, 2020 In this paper, the formulation of a new group iterative method called the Modified Explicit Decoupled Group method in solving the two dimensional Helmholtz equation is described. The method is derived using a combination of the five-point finite difference approximation on the rotated grid stencil together with the five-point centred difference ...
Norhashidah Mohd +22 more
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Nodally exact Ritz discretizations of 1D diffusion–absorption and Helmholtz equations by variational FIC and modified equation methods [PDF]
, 2007 The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-005-0011-zThis article presents the first application of the Finite Calculus (FIC) in a Ritz-FEM variational framework.
Felippa, Carlos +1 more
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A Spectral Regularization Method for a Cauchy Problem of the Modified Helmholtz Equation [PDF]
Boundary Value Problems, 2010 We consider the Cauchy problem for a modified Helmholtz equation, where the Cauchy data is given at x=1 and the solution is sought in the interval 0<x<1.
Ailin Qian, Jianfeng Mao, Lianghua Liu
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Academic Science JournalIn this study, a heat conduction in fin-related inverse problem for the modified Helmholtz equation is taken into consideration. The purpose of this study is to estimate the temperature on an under-specified boundary (a part of the outer border of a ...
shaimaa aamer, Fatima M. Aboud
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A Regularization Method to Solve a Cauchy Problem for the Two-Dimensional Modified Helmholtz Equation [PDF]
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
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Numerical Study on Oil Particle Enrichment in a Rectangular Microfluidic Channel Based on Acoustic Standing Waves [PDF]
MicromachinesThis study presents a method for enriching oil-suspended particles within a rectangular microfluidic channel using acoustic standing waves. A modified Helmholtz equation is solved to establish the acoustic field model, and the equilibrium between ...
Zhenzhen Liu +5 more
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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.
Qin, H. H., Wei, T.
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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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