Application of the homotopy analysis method to the Poisson-Boltzmann equation for semiconductor devices

DOI10.1016/j.cnsns.2010.09.015zbMath1221.82139OpenAlexW1993947024MaRDI QIDQ718570

Christopher J. Nassar, Joseph F. Revelli, Robert J. Bowman

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.09.015

zbMATH Keywords

series solutionBoltzmann equationnonlinear equationshomotopy analysis methodPoissonMOSFETsemiconductor devices

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Numerical methods for ordinary differential equations (65L99)

Related Items (7)

Analytic Solutions of Von Kármán Plate under Arbitrary Uniform Pressure — Equations in Differential Form ⋮ On the homotopy analysis method for backward/forward-backward stochastic differential equations ⋮ Solving the backward heat conduction problem by homotopy analysis method ⋮ Group preserving scheme and reproducing kernel method for the Poisson-Boltzmann equation for semiconductor devices ⋮ A HAM-based wavelet approach for nonlinear ordinary differential equations ⋮ An analytical method as a preconditioning modeling for systems of linear equations ⋮ Avoiding Small Denominator Problems by Means of the Homotopy Analysis Method

Cites Work

• Series solution to the Thomas-Fermi equation
• An optimal homotopy-analysis approach for strongly nonlinear differential equations
• An explicit, totally analytic approximate solution for Blasius' viscous flow problems
• An analytic approximation of the drag coefficient for the viscous flow past a sphere
• An analytic approximate technique for free oscillations of positively damped systems with algebraically decaying amplitude
• An analytic approximate approach for free oscillations of self-excited systems
• An explicit analytic solution to the Thomas-Fermi equation.
• On the explicit analytic solution of Cheng-Chang equation
• Beyond Perturbation
• A Second-Order Approximate Analytical Solution of a Simple Pendulum by the Process Analysis Method

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