Solving the nonlinear equations for one-dimensional nano-sized model including Rydberg and Varshni potentials and Casimir force using the decomposition method

DOI10.1016/j.apm.2012.07.019zbMath1352.65214OpenAlexW2065865787MaRDI QIDQ727356

D. Kharzeev

Publication date: 6 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.07.019

zbMATH Keywords

Casimir forceAdomian decomposition methodfractional dampingnano-oscillatorRydberg potentialVarshni potential

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99)

Related Items (4)

On the truly nonlinear oscillator with positive and negative damping ⋮ Anharmonic 1D actuator model including electrostatic and Casimir forces with fractional damping perturbed by an external force ⋮ Decomposition based least squares iterative estimation algorithm for two-input single-output output error systems ⋮ Improvement of the modified decomposition method for handling third-order singular nonlinear partial differential equations with applications in physics

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• An algorithm for Adomian decomposition method
• Anharmonic vibrations of a nano-sized oscillator with fractional damping
• A review of the decomposition method in applied mathematics
• A comparison between Adomian decomposition method and Taylor series method in the series solutions
• Decomposition methods: A new proof of convergence
• Nonlinear behavior for nanoscale electrostatic actuators with Casimir force
• Numerical study of modified Adomian's method applied to Burgers equation
• New developments in the Casimir effect

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