Application of the double Laplace Adomian decomposition method for solving linear singular one dimensional thermo-elasticity coupled system

Volume 10, Issue 1, pp 278--289 http://dx.doi.org/10.22436/jnsa.010.01.26

Publication Date: January 27, 2017 Submission Date: October 10, 2016

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Authors

Hassan Eltayeb - Mathematics Department, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia. Adem Kilicman - Department of Mathematics, University Putra Malaysia, 43400 Serdang, Selangor, Malaysia. Said Mesloub - Mathematics Department, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia.

Abstract

In the present work, the Adomain decomposition and double Laplace transform methods are combined to solve linear singular one dimensional hyperbolic equation and linear singular one dimensional thermo-elasticity coupled system. Also we address the convergence of double Laplace transform decomposition method. Moreover, some examples are given to establish our method.

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ISRP Style

Hassan Eltayeb, Adem Kilicman, Said Mesloub, Application of the double Laplace Adomian decomposition method for solving linear singular one dimensional thermo-elasticity coupled system, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 1, 278--289

AMA Style

Eltayeb Hassan, Kilicman Adem, Mesloub Said, Application of the double Laplace Adomian decomposition method for solving linear singular one dimensional thermo-elasticity coupled system. J. Nonlinear Sci. Appl. (2017); 10(1):278--289

Chicago/Turabian Style

Eltayeb, Hassan, Kilicman, Adem, Mesloub, Said. "Application of the double Laplace Adomian decomposition method for solving linear singular one dimensional thermo-elasticity coupled system." Journal of Nonlinear Sciences and Applications, 10, no. 1 (2017): 278--289

Keywords

Double Laplace transform
inverse Laplace transform
nonlinear hyperbolic equation
single Laplace transform
decomposition methods
thermo-elasticity.

MSC

35A44
65M55

References

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