An approximate analytic solution of the heat conduction equation at nanoscale

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 374, Issue 4, 2010, Pages 595-604

  Mohammadi Fakhar, V ^a   Momeni Masuleh, S H ^a  

^a SHAHED UNIVERSITY   (Iran)

Author keywords

Adomian decomposition; Adomian double decomposition; Heat conduction equation; Nanoscale; Thin films

Indexed keywords

DECOMPOSITION; NANOTECHNOLOGY; THIN FILMS;

ADOMIAN DECOMPOSITION; ADOMIAN DECOMPOSITION METHODS; APPROXIMATE ANALYTIC SOLUTIONS; DOUBLE DECOMPOSITION; DOUBLE DECOMPOSITION METHOD; HEAT CONDUCTION EQUATIONS; NANO SCALE; NON-FOURIER HEAT CONDUCTION;

HEAT CONDUCTION;

EID: 73149125550     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2009.11.037     Document Type: Article

References (21)

1. Tzou D.Y. Macro to Micro Heat Transfer (1996), Taylor & Francis, Washington, DC
2. Tzou D.Y. ASME J. Heat Transfer 117 (1995) 8
3. Dai W., and Nassar R. Numer. Methods Partial Differential Equations 15 6 (1999) 697
4. Dai W., and Nassar R. J. Comput. Appl. Math. 132 2 (2001) 431
5. Zhang J., and Zhao J.J. J. Comput. Phys. 170 1 (2001) 261
6. Dai W., and Nassar R. Int. J. Numer. Methods Eng. 50 7 (2001) 1665
7. Dai W., and Nassar R. J. Comput. Appl. Math. 145 1 (2002) 247
8. Dai W., and Nassar R. Numer. Methods Partial Differential Equations 16 5 (2000) 441
9. Zhang J., and Zhao J.J. Math. Comput. Simul. 57 6 (2001) 387
10. Dai W., and Nassar R. J. Comput. Appl. Math. 21 5 (2003) 555
11. Dai W., and Nassar R. Int. J. Heat Mass Transfer 45 (2002) 1585
12. Momeni-Masuleh S.H., and Malek A. Numer. Methods Partial Differential Equations 23 (2007) 1139
13. Malek A., and Momeni-Masuleh S.H. J. Comput. Appl. Math. 217 (2008) 137
14. Adomian G. Solving Frontier Problems of Physics, the Decomposition Method (1994), Kluwer Academic, Dordrecht
15. Abbaoui K., and Cherruauit Y. Math. Comput. Model. 20 9 (1994) 69
16. Abbaoui K., and Cherruauit Y. Comput. Math. Appl. 28 5 (1994) 103
17. Dai W., and Nassar R. Numer. Methods Partial Differential Equations 16 (2000) 441
18. Hajji M.A., and Al-Khaled K. Appl. Math. Comput. 191 (2007) 320
19. Sadighi A., and Ganji D.D. Phys. Lett. A 372 (2008) 465
20. Dehghan M., Hamidi A., and Shakourifar M. Appl. Math. Comput. 189 (2007) 1034
21. Hashim I. Appl. Math. Comput. 181 (2006) 880