Study of strongly nonlinear oscillators using the Aboodh transform and the homotopy perturbation method

. A generalized equation is constructed for a class of classical oscillators with strong anharmonicity which are not exactly solvable. The Aboodh transform-based homotopy perturbation method (ATHPM) is applied to get the approximate analytical solution for the generalized equation and hence some phy...

Full description

Saved in:
Bibliographic Details
Published in:European physical journal plus 2019-09, Vol.134 (9), p.462, Article 462
Main Authors: Manimegalai, K., Zephania C F, Sagar, Bera, P. K., Bera, P., Das, S. K., Sil, Tapas
Format: Article
Language:English
Subjects:
Accuracy
Anharmonicity
Applied and Technical Physics
Approximation
Atomic
Complex Systems
Condensed Matter Physics
Exact solutions
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Oscillators
Partial differential equations
Perturbation methods
Physics
Physics and Astronomy
Regular Article
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:. A generalized equation is constructed for a class of classical oscillators with strong anharmonicity which are not exactly solvable. The Aboodh transform-based homotopy perturbation method (ATHPM) is applied to get the approximate analytical solution for the generalized equation and hence some physically relevant anharmonic oscillators are studied as the special cases of this solution. ATHPM provides the approximate analytical solution of the generalized equation in a simple way. The solution from this simple method not only shows excellent agreement with the numerical results but is also found to be of better accuracy in comparison to the solutions obtained from other established approximation methods whenever compared for physically relevant special cases.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2019-12824-6