Geodesic
A note on double Laplace decomposition method for solving singular one dimensional pseudo thermo-elasticity coupled system
Eltayeb, Hassan 1 ; Bachar, Imed 1
1 Mathematics Department, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 6, p. 864-876.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, Adomain decomposition method is reintroduced with double Laplace transform methods to obtain closed form solutions of linear and nonlinear singular one dimensional pseudo thermo-elasticity coupled system. The nonlinear terms can be easily handled by the use of Adomian polynomials. Furthermore, we illustrate our proposed methods by one example.
DOI : 10.22436/jnsa.011.06.12
Classification : 35A22, 44A10
Keywords: Double Laplace transform, inverse Laplace transform, pseudo thermo-elasticity equation, single Laplace transform, decomposition methods

Eltayeb, Hassan  1 ; Bachar, Imed  1

1 Mathematics Department, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia 
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Eltayeb, Hassan ; Bachar, Imed . A note on double Laplace decomposition method for solving singular one dimensional pseudo thermo-elasticity coupled system. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 6, p. 864-876. doi : 10.22436/jnsa.011.06.12. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.06.12/

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