Analytical approximation of the site percolation thresholds for monomers and dimers on two-dimensional lattices

2019 ◽  
Vol 516 ◽  
pp. 133-143 ◽  
Author(s):  
W. Lebrecht ◽  
P.M. Centres ◽  
A.J. Ramirez-Pastor
Keyword(s):  
Analytical Approximation ◽  
Two Dimensional ◽  
Site Percolation ◽  
Percolation Thresholds

Estimates of critical percolation probabilities for a set of two-dimensional lattices

1972 ◽  
Vol 71 (1) ◽  
pp. 97-106 ◽  
Author(s):  
D. G. Neal
Keyword(s):  
Monte Carlo ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Critical Percolation ◽  
Site Percolation

AbstractThis paper describes new detailed Monte Carlo investigations into bond and site percolation problems on the set of eleven regular and semi-regular (Archimedean) lattices in two dimensions.

scholarly journals Site Percolation Thresholds of FCC Lattice

1991 ◽  
Vol 80 (3) ◽  
pp. 461-464 ◽  
Author(s):  
T.R. Gawron ◽  
Marek Cieplak
Keyword(s):  
Site Percolation ◽  
Fcc Lattice ◽  
Percolation Thresholds

Site percolation thresholds for Archimedean lattices

1999 ◽  
Vol 60 (1) ◽  
pp. 275-283 ◽  
Author(s):  
Paul N. Suding ◽  
Robert M. Ziff
Keyword(s):  
Site Percolation ◽  
Percolation Thresholds

scholarly journals Approximate Analytic Solutions of Two-Dimensional Nonlinear Klein–Gordon Equation by Using the Reduced Differential Transform Method

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Wayinhareg Gashaw Belayeh ◽  
Yesuf Obsie Mussa ◽  
Ademe Kebede Gizaw
Keyword(s):  
Numerical Solutions ◽  
Initial Conditions ◽  
Type Systems ◽  
Analytical Approximation ◽  
Differential Transform Method ◽  
Two Dimensional ◽  
Transform Method ◽  
Differential Transform ◽  
Klein Gordon ◽  
Reduced Differential Transform Method

In this paper, the reduced differential transform method (RDTM) is successfully implemented for solving two-dimensional nonlinear Klein–Gordon equations (NLKGEs) with quadratic and cubic nonlinearities subject to appropriate initial conditions. The proposed technique has the advantage of producing an analytical approximation in a convergent power series form with a reduced number of calculable terms. Two test examples from mathematical physics are discussed to illustrate the validity and efficiency of the method. In addition, numerical solutions of the test examples are presented graphically to show the reliability and accuracy of the method. Also, the results indicate that the introduced method is promising for solving other type systems of NLPDEs.

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