Research Article

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

Volume: 4 Number: 3 September 30, 2016
  • Hassan Eltayeb Gadain *
EN

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

Abstract

In this paper, the double Laplace decomposition methods are applied to solve the non singular and singular one dimensional thermo-elasticity coupled system. The technique is described and illustrated with some examples.


Keywords

References

  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. Kiliçman 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. Kiliçman, 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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Hassan Eltayeb Gadain * This is me
Saudi Arabia

Publication Date

September 30, 2016

Submission Date

November 13, 2015

Acceptance Date

February 1, 2016

Published in Issue

Year 2016 Volume: 4 Number: 3

APA
Gadain, H. E. (2016). Coupled singular and non singular thermoelastic system and Double Laplace Decomposition method. New Trends in Mathematical Sciences, 4(3), 212-222. https://izlik.org/JA58UH97DL
AMA
1.Gadain HE. Coupled singular and non singular thermoelastic system and Double Laplace Decomposition method. New Trends in Mathematical Sciences. 2016;4(3):212-222. https://izlik.org/JA58UH97DL
Chicago
Gadain, Hassan Eltayeb. 2016. “Coupled Singular and Non Singular Thermoelastic System and Double Laplace Decomposition Method”. New Trends in Mathematical Sciences 4 (3): 212-22. https://izlik.org/JA58UH97DL.
EndNote
Gadain HE (September 1, 2016) Coupled singular and non singular thermoelastic system and Double Laplace Decomposition method. New Trends in Mathematical Sciences 4 3 212–222.
IEEE
[1]H. E. Gadain, “Coupled singular and non singular thermoelastic system and Double Laplace Decomposition method”, New Trends in Mathematical Sciences, vol. 4, no. 3, pp. 212–222, Sept. 2016, [Online]. Available: https://izlik.org/JA58UH97DL
ISNAD
Gadain, Hassan Eltayeb. “Coupled Singular and Non Singular Thermoelastic System and Double Laplace Decomposition Method”. New Trends in Mathematical Sciences 4/3 (September 1, 2016): 212-222. https://izlik.org/JA58UH97DL.
JAMA
1.Gadain HE. Coupled singular and non singular thermoelastic system and Double Laplace Decomposition method. New Trends in Mathematical Sciences. 2016;4:212–222.
MLA
Gadain, Hassan Eltayeb. “Coupled Singular and Non Singular Thermoelastic System and Double Laplace Decomposition Method”. New Trends in Mathematical Sciences, vol. 4, no. 3, Sept. 2016, pp. 212-2, https://izlik.org/JA58UH97DL.
Vancouver
1.Hassan Eltayeb Gadain. Coupled singular and non singular thermoelastic system and Double Laplace Decomposition method. New Trends in Mathematical Sciences [Internet]. 2016 Sep. 1;4(3):212-2. Available from: https://izlik.org/JA58UH97DL