Homotopy Perturbation Method and Variational Iteration Method for Harmonic Waves Propagation in Nonlinear Magneto-Thermoelasticity with Rotation
Joint Authors
Gepreel, Khaled A.
Abo-Dahab, S. M.
Nofal, Taher A.
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-13
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
The homotopy perturbation method and variational iteration method are applied to obtain the approximate solution of the harmonic waves propagation in a nonlinear magneto-thermoelasticity under influence of rotation.
The problem is solved in one-dimensional elastic half-space model subjected initially to a prescribed harmonic displacement and the temperature of the medium.
The displacement and temperature are calculated for the methods with the variations of the magnetic field and the rotation.
The results obtained are displayed graphically to show the influences of the new parameters and the difference between the methods' technique.
It is obvious that the homotopy perturbation method is more effective and powerful than the variational iteration method.
American Psychological Association (APA)
Gepreel, Khaled A.& Abo-Dahab, S. M.& Nofal, Taher A.. 2011. Homotopy Perturbation Method and Variational Iteration Method for Harmonic Waves Propagation in Nonlinear Magneto-Thermoelasticity with Rotation. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-1001975
Modern Language Association (MLA)
Gepreel, Khaled A.…[et al.]. Homotopy Perturbation Method and Variational Iteration Method for Harmonic Waves Propagation in Nonlinear Magneto-Thermoelasticity with Rotation. Mathematical Problems in Engineering No. 2012 (2012), pp.1-30.
https://search.emarefa.net/detail/BIM-1001975
American Medical Association (AMA)
Gepreel, Khaled A.& Abo-Dahab, S. M.& Nofal, Taher A.. Homotopy Perturbation Method and Variational Iteration Method for Harmonic Waves Propagation in Nonlinear Magneto-Thermoelasticity with Rotation. Mathematical Problems in Engineering. 2011. Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-1001975
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001975