APPROXIMATE SOLUTIONS FOR GL MODEL ON HARMONIC WAVES PROPAGATION IN NONLINEAR GENERALIZED THERMOELASTICITY WITH MAGNETIC FIELD \\ S. M. ABO-DAHAB, KHALED A. GEPREEL

Document Type : Regular research papers

Abstract

In this paper, the homotopy perturbation and Adomain0
s decom-
position methods are applied to obtain the approximate solutions of the equa-
tion of motion and heat equation for the harmonic waves propagation in a non-
linear generalized thermoelasticity with magnetic Öeld. The problem is solved
in one-dimensional elastic half-space model sub jected initially to a prescribed
harmonic displacement and the temperature of the medium. The displace-
ment and temperature are calculated for the two methods with the variations
of the magnetic Öeld and the relaxation times considering Green Lindsay the-
ory (GL). The results obtained are displayed graphically to show the ináuences
of the new parameters and the differences between the methods technique. It is
obvious that the homotopy perturbation method and adomain decomposition
method gives the same results that indicate the origin of the approximate
solutions and the methods powerful.
Journal of Fractional Calculus and Applications
Volume 3, Issue 1
Vol. 3(S). July 11, 2012 (Proc. of the 4th. Symp. of Fractional Calculus and Applications)
2012
Pages 1-21

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