A note on double Laplace decomposition method for solving singular one dimensional pseudo thermo-elasticity coupled system

Volume 11, Issue 6, pp 864--876 http://dx.doi.org/10.22436/jnsa.011.06.12
Publication Date: May 03, 2018 Submission Date: June 04, 2017 Revision Date: January 10, 2018 Accteptance Date: January 12, 2018

Authors

Hassan Eltayeb - Mathematics Department, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia. Imed Bachar - Mathematics Department, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia.


Abstract

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.


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ISRP Style

Hassan Eltayeb, Imed Bachar, A note on double Laplace decomposition method for solving singular one dimensional pseudo thermo-elasticity coupled system, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 6, 864--876

AMA Style

Eltayeb Hassan, Bachar Imed, A note on double Laplace decomposition method for solving singular one dimensional pseudo thermo-elasticity coupled system. J. Nonlinear Sci. Appl. (2018); 11(6):864--876

Chicago/Turabian Style

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 Applications, 11, no. 6 (2018): 864--876


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