publication . Article . 2016

Coupled singular and non singular thermoelastic system and Double Laplace Decomposition method

Hassan Gadain; Hassan Gadain;
Open Access English
  • Published: 30 Sep 2016 Journal: New Trends in Mathematical Sciences (issn: 2147-5520, eissn: 2147-5520, Copyright policy)
  • Publisher: BİSKA Bilisim Company
Abstract
In this paper, the double Laplace decomposition methods are applied to solve the non singular and singular one dimensional thermo-elasticity coupled system and. The technique is described and illustrated with some examples
Subjects
ACM Computing Classification System: ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONData_GENERALMathematicsofComputing_NUMERICALANALYSIS
free text keywords: Double lapalce transform, inverse lapalce transform, nonlinear system partial differential equation, single lapalce transform, decomposition methods, Applied mathematics. Quantitative methods, T57-57.97, Mathematics, QA1-939, Double Laplace transform,inverse Laplace transform,nonlinear system partial differential equation,single Laplace transform, Singular solution, Mathematical analysis, Thermoelastic damping, Decomposition method (constraint satisfaction), Non singular, Laplace transform, Singular integral
Related Organizations

[1] N.H. Sweilam and M.M. Khader, Variational iteration method for one dimensional nonlinear thermoelasticity, Chaos, Solitons and Fractals, 32 (2007) 145-149.

[2] A. Sadighi and D. D. Ganji, A study on one dimensional nonlinear thermoelasticity by Adomian decomposition method, World Journal of Modelling and Simulation, 4 (2008), 19-25.

[3] Abdou MA, Soliman AA. Variational iteration method for solving Burger's and coupled Burger's equations. J Comput Appl Math 181, ( 2)(2005):245-51.

[4] S. Jiang. Numerical solution for the cauchy problem in nonlinear 1-d-thermoelasticity. Computing, 44(1990) 147-158.

[5] M. Slemrod. Global existence, uniqueness and asymptotic stability of classical solutions in one dimensional nonlinear thermoelasticity. Arch. Rational Mech. Anal., 76(1981) 97-133.

[6] C. A. D. Moura. A linear uncoupling numerical scheme for the nonlinear coupled thermodynamics equations. Berlin-Springer, (1983), 204-211. In: V. Pereyra, A. Reinoze (Editors), Lecture notes in mathematics, 1005.

[7] A. Kilic¸man and H. Eltayeb, A note on defining singular integral as distribution and partial differential equation with convolution term, Math. Comput. Modelling, 49 (2009) 327-336.

[8] H. Eltayeb and A. Kilic¸man, A Note on Solutions of Wave, Laplace's and Heat Equations with Convolution Terms by Using Double Laplace Transform: Appl, Math, Lett, 21 (12) (2008), 1324-1329.

[9] A. Kilic¸man and H. E. Gadain, “On the applications of Laplace and Sumudu transforms,” Journal of the Franklin Institute,347(5)(2010) 848-862.

[10] Abdon Atangana, Convergence and stability analysis of a novel iteration method for fractional biological population equation, Neural Comput & Applic 25 (2014) 1021-1030. [OpenAIRE]

[11] Abdon Atangana, On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation, Applied Mathematics and Computation 273 (2016) 948-956. [OpenAIRE]

[12] S. Abbasbandy, Iterated He's homotopy perturbation method for quadratic Riccati differential equation, Applied Mathematics and Computation 175 (2006) 581-589. [OpenAIRE]

[13] D.D. Ganji, A. Sadighi, Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations, International Journal of Nonlinear Sciences and Numerical Simulation 7 (4) (2006) 411-418. [OpenAIRE]

[14] J.H. He, A simple perturbation approach to Blasius equation, Applied Mathematics and Computation 140 (2-3) (2003) 217-222.

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