Araştırma Makalesi

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

Cilt: 4 Sayı: 3 30 Eylül 2016
  • Hassan Eltayeb Gadain *
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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

Kaynakça

  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Hassan Eltayeb Gadain * Bu kişi benim
Saudi Arabia

Yayımlanma Tarihi

30 Eylül 2016

Gönderilme Tarihi

13 Kasım 2015

Kabul Tarihi

1 Şubat 2016

Yayımlandığı Sayı

Yıl 2016 Cilt: 4 Sayı: 3

Kaynak Göster

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 (01 Eylül 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, c. 4, sy 3, ss. 212–222, Eyl. 2016, [çevrimiçi]. Erişim adresi: 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 (01 Eylül 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, c. 4, sy 3, Eylül 2016, ss. 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]. 01 Eylül 2016;4(3):212-2. Erişim adresi: https://izlik.org/JA58UH97DL