Numerical simulation of interaction between Schrödinger field and Klein–Gordon field by multisymplectic method

2006 ◽  
Vol 181 (1) ◽  
pp. 342-350 ◽  
Author(s):  
Linghua Kong ◽  
Ruxun Liu ◽  
Zhenli Xu
Keyword(s):  
Numerical Simulation ◽  
Klein Gordon ◽  
Multisymplectic Method

Evaluating Possibility of Registering Scattered Gravitational Radiation on Wormholes

2020 ◽  
pp. 89-102
Author(s):  
A.A. Kirillov ◽  
D.P. Krichevskiy
Keyword(s):  
Numerical Simulation ◽  
Gravitational Wave ◽  
Cross Section ◽  
Gravitational Radiation ◽  
Wave Amplitude ◽  
Spherically Symmetric ◽  
Curved Space ◽  
Klein Gordon ◽  
Wave Trace ◽  
Limiting Case

Possibility of experimental registration of gravitational radiation scattered on wormholes was evaluated. Scattered radiation registration could become the experimental evidence of the wormhole gas theory explaining the dark matter nature. The simplest model of the traversable static spherically symmetric wormhole was used, which is the limiting case for the Bronnikov --- Ellis wormhole. Equations for gravitational wave against the background of non-empty curved space--time were obtained in the gauge, where the trace of a gravitational wave is not equal to zero. It is shown that equation on the trace is reduced to the Klein --- Gordon --- Fock equation. Explicit expressions were obtained for the gravitational wave trace scattering cross section on a wormhole. It was assumed that the gravitational wave amplitude order was equal to its trace order, numerical simulation was carried out, and scattered gravitational radiation intensity and amplitude from wormholes on Earth were estimated. In the multiverse case, when the wormhole throat was leading to another universe, conclusion was made that it was currently impossible to register radiation scattered by wormholes taking into account the LIGO/VIRGO detector sensitivity

scholarly journals Numerical Simulation of PDEs by Local Meshless Differential Quadrature Collocation Method

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 394 ◽  
Author(s):  
Imtiaz Ahmad ◽  
Muhammad Ahsan ◽  
Iltaf Hussain ◽  
Poom Kumam ◽  
Wiyada Kumam
Keyword(s):  
Numerical Simulation ◽  
Differential Equations ◽  
Collocation Method ◽  
Wave Equations ◽  
Differential Quadrature ◽  
Test Problems ◽  
Difference Formula ◽  
Meshless Collocation ◽  
Klein Gordon ◽  
Convection Dominated

In this paper, a local meshless differential quadrature collocation method based on radial basis functions is proposed for the numerical simulation of one-dimensional Klein–Gordon, two-dimensional coupled Burgers’, and regularized long wave equations. Both local and global meshless collocation procedures are used for spatial discretization, which convert the mentioned partial differential equations into a system of ordinary differential equations. The obtained system has been solved by the forward Euler difference formula. An upwind technique is utilized in the case of the convection-dominated coupled Burgers’ model equation. Having no need for the mesh in the problem domain and being less sensitive to the variation of the shape parameter as compared to global meshless methods are the salient features of the local meshless method. Both rectangular and non-rectangular domains with uniform and scattered nodal points are considered. Accuracy, efficacy, and the ease of implementation of the proposed method are shown via test problems.

Water uptake by substituted amylose tablets: experimentation and numerical simulation

2009 ◽  
Vol 00 (00) ◽  
pp. 090904073309027-8
Author(s):  
H.W. Wang ◽  
S. Kyriacos ◽  
L. Cartilier
Keyword(s):  
Numerical Simulation ◽  
Water Uptake
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