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Group preserving scheme and reproducing kernel method for the Poisson–Boltzmann equation for semiconductor devices
Nonlinear Dynamics
◽
10.1007/s11071-017-3414-4
◽
2017
◽
Vol 88
(4)
◽
pp. 2817-2829
◽
Cited By ~ 12
Author(s):
Ali Akgül
◽
Mustafa Inc
◽
Mir Sajjad Hashemi
Keyword(s):
Boltzmann Equation
◽
Reproducing Kernel
◽
Kernel Method
◽
Semiconductor Devices
◽
Reproducing Kernel Method
◽
Poisson Boltzmann
◽
Poisson Boltzmann Equation
◽
Group Preserving Scheme
Download Full-text
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References
Some applications of the Reproducing Kernel Method (RKM) and the Group Preserving Scheme (GPS)
10.1063/1.4992525
◽
2017
◽
Author(s):
Mustafa Inc
◽
Ali Akgül
Keyword(s):
Reproducing Kernel
◽
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◽
Reproducing Kernel Method
◽
Group Preserving Scheme
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Iterative spectral solution of the Poisson‐Boltzmann equation in semiconductor devices
Journal of Applied Physics
◽
10.1063/1.357899
◽
1994
◽
Vol 76
(12)
◽
pp. 7889-7898
◽
Cited By ~ 4
Author(s):
Brian H. Floyd
◽
Yannick L. Le Coz
Keyword(s):
Boltzmann Equation
◽
Semiconductor Devices
◽
Spectral Solution
◽
Poisson Boltzmann
◽
Poisson Boltzmann Equation
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Application of the homotopy analysis method to the Poisson–Boltzmann equation for semiconductor devices
Communications in Nonlinear Science and Numerical Simulation
◽
10.1016/j.cnsns.2010.09.015
◽
2011
◽
Vol 16
(6)
◽
pp. 2501-2512
◽
Cited By ~ 16
Author(s):
Christopher J. Nassar
◽
Joseph F. Revelli
◽
Robert J. Bowman
Keyword(s):
Boltzmann Equation
◽
Homotopy Analysis Method
◽
Semiconductor Devices
◽
Analysis Method
◽
Homotopy Analysis
◽
Poisson Boltzmann
◽
Poisson Boltzmann Equation
Download Full-text
Exact analytical solution to the Poisson-Boltzmann equation for semiconductor devices
The European Physical Journal Plus
◽
10.1140/epjp/i2014-14104-5
◽
2014
◽
Vol 129
(6)
◽
Cited By ~ 7
Author(s):
Elyas Shivanian
◽
Saeid Abbasbandy
◽
Mohammed S. Alhuthali
Keyword(s):
Boltzmann Equation
◽
Analytical Solution
◽
Exact Analytical Solution
◽
Semiconductor Devices
◽
Poisson Boltzmann
◽
Poisson Boltzmann Equation
Download Full-text
Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme
Mathematics
◽
10.3390/math5040077
◽
2017
◽
Vol 5
(4)
◽
pp. 77
◽
Cited By ~ 3
Author(s):
Mir Hashemi
◽
Ali Akgül
◽
Mustafa Inc
◽
Idrees Mustafa
◽
Dumitru Baleanu
Keyword(s):
Reproducing Kernel
◽
Kernel Method
◽
Reproducing Kernel Method
◽
Emden Equation
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Group Preserving Scheme
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Reproducing kernel method to solve non-local fractional boundary value problem
Mathematical Sciences
◽
10.1007/s40096-021-00418-0
◽
2021
◽
Author(s):
Raziye Mohammad Hosseiny
◽
Tofigh Allahviranloo
◽
Saeid Abbasbandy
◽
Esmail Babolian
Keyword(s):
Boundary Value Problem
◽
Reproducing Kernel
◽
Kernel Method
◽
Boundary Value
◽
Fractional Boundary Value Problem
◽
Reproducing Kernel Method
◽
Non Local
Download Full-text
Numerical algorithm to solve a coupled system of fractional order using a novel reproducing kernel method
Alexandria Engineering Journal
◽
10.1016/j.aej.2021.03.033
◽
2021
◽
Vol 60
(5)
◽
pp. 4583-4591
Author(s):
Rania Saadeh
Keyword(s):
Fractional Order
◽
Numerical Algorithm
◽
Reproducing Kernel
◽
Kernel Method
◽
Coupled System
◽
Reproducing Kernel Method
Download Full-text
Fast multipole method for 3-D Poisson-Boltzmann equation in layered electrolyte-dielectric media
Journal of Computational Physics
◽
10.1016/j.jcp.2021.110379
◽
2021
◽
pp. 110379
Author(s):
Bo Wang
◽
Wenzhong Zhang
◽
Wei Cai
Keyword(s):
Boltzmann Equation
◽
Fast Multipole Method
◽
Fast Multipole
◽
Dielectric Media
◽
Multipole Method
◽
Poisson Boltzmann
◽
Poisson Boltzmann Equation
Download Full-text
Monte Carlo methods for linear and non-linear Poisson-Boltzmann equation
ESAIM Proceedings and Surveys
◽
10.1051/proc/201448020
◽
2015
◽
Vol 48
◽
pp. 420-446
◽
Cited By ~ 5
Author(s):
Mireille Bossy
◽
Nicolas Champagnat
◽
Hélène Leman
◽
Sylvain Maire
◽
Laurent Violeau
◽
...
Keyword(s):
Monte Carlo
◽
Boltzmann Equation
◽
Monte Carlo Methods
◽
Non Linear
◽
Poisson Boltzmann
◽
Poisson Boltzmann Equation
Download Full-text
Designing scalable ultrafiltration/diafiltration process of monoclonal antibodies via mathematical modeling by coupling mass balances and Poisson–Boltzmann equation
Biotechnology and Bioengineering
◽
10.1002/bit.27598
◽
2020
◽
Author(s):
Rok Ambrožič
◽
Dejan Arzenšek
◽
Aleš Podgornik
Keyword(s):
Mathematical Modeling
◽
Monoclonal Antibodies
◽
Boltzmann Equation
◽
Mass Balances
◽
Poisson Boltzmann
◽
Poisson Boltzmann Equation
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