Homotopy Analysis Method for the Rayleigh Equation Governing the Radial Dynamics of a Multielectron Bubble

Joint Authors

Godínez, F. A.
Escobedo, M. A.
Navarrete, M.

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-09-13

Country of Publication

Egypt

No. of Pages

20

Main Subjects

Mathematics

Abstract EN

The homotopy analysis method is used to obtain analytical solutions of the Rayleigh equation for the radial oscillations of a multielectron bubble in liquid helium.

The small order approximations for amplitude and frequency fit well with those computed numerically.

The results confirm that the homotopy analysis method is a powerful and manageable tool for finding analytical solutions of strongly nonlinear dynamical systems.

American Psychological Association (APA)

Godínez, F. A.& Escobedo, M. A.& Navarrete, M.. 2012. Homotopy Analysis Method for the Rayleigh Equation Governing the Radial Dynamics of a Multielectron Bubble. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993402

Modern Language Association (MLA)

Godínez, F. A.…[et al.]. Homotopy Analysis Method for the Rayleigh Equation Governing the Radial Dynamics of a Multielectron Bubble. Journal of Applied Mathematics No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-993402

American Medical Association (AMA)

Godínez, F. A.& Escobedo, M. A.& Navarrete, M.. Homotopy Analysis Method for the Rayleigh Equation Governing the Radial Dynamics of a Multielectron Bubble. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993402

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-993402