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

The Adomian decomposition method has been applied to solve the nonlinear equations from the one-dimensional model for a nano-sized-oscillator. The model includes Rydberg and Varshni potentials as well as Casimir force with fractional damping. New approximate solution of the equations of motion for a...

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Bibliographic Details
Published in:Applied mathematical modelling 2013-03, Vol.37 (5), p.3399-3406
Main Authors: Mansoori Kermani, M., Dehestani, M.
Format: Article
Language:English
Subjects:
Adomian decomposition method
Approximation
Casimir force
Decomposition
Fractional damping
Mathematical analysis
Mathematical models
Nano-oscillator
Nanocomposites
Nanomaterials
Nanostructure
Nonlinear equations
Rydberg potential
Varshni potential
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Summary:The Adomian decomposition method has been applied to solve the nonlinear equations from the one-dimensional model for a nano-sized-oscillator. The model includes Rydberg and Varshni potentials as well as Casimir force with fractional damping. New approximate solution of the equations of motion for anharmonic vibrations of a nano-sized oscillator with the elastic force deriving from the Rydberg and Varshni potentials has been obtained.
ISSN:0307-904X
DOI:10.1016/j.apm.2012.07.019