Assessment of two analytical approaches in some nonlinear problems arising in engineering sciences

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

Volumn 372, Issue 24, 2008, Pages 4399-4406

  Ganji, D D ^a   Sadighi, A ^a   Khatami, I ^a  

^a BABOL NOSHIRVANI UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Coupled Burgers' equations; Good Boussinesq equation; Homotopy perturbation method; Nonlinear heat transfer equation; Variational iteration method

Indexed keywords

HEAT TRANSFER; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; PERTURBATION TECHNIQUES;

BOUSSINESQ EQUATIONS; BURGERS' EQUATIONS; HOMOTOPY PERTURBATION METHOD (HPM); NONLINEAR HEAT TRANSFER; VARIATIONAL ITERATION METHOD;

NONLINEAR EQUATIONS;

EID: 43849109839     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2008.04.004     Document Type: Article

References (45)

1. J.H. He X.H. Wu Chaos Solitons Fractals 30 3 2006 700
2. S.D. Zhu Int. J. Nonlinear Sci. Numer. Simul. 8 3 2007 461
3. S.D. Zhu Int. J. Nonlinear Sci. Numer. Simul. 8 3 2007 465
4. A.M. Wazwaz Appl. Math. Comput. 166 2005 652
5. A.M. Wazwaz A. Gorguis Appl. Math. Comput. 149 2004 15
6. A.M. Wazwaz Appl. Math. Comput. 111 2000 53
7. D. Lesnic Chaos Solitons Fractals 28 2006 776
8. S. Saha Ray Appl. Math. Comput. 175 2006 1046
9. S. Liao Commun. Nonlinear Sci. Numer. Simul. 2 2 1997 95
10. M. Ayub A. Rasheed T. Hayat Int. J. Eng. Sci. 41 18 2003 2091
11. S. Liao Appl. Math. Comput. 147 2 2004 499
12. S. Liao J. Hydro. 18 3 2006 54
13. J.H. He Int. J. Nonlinear Mech. 35 1 2000 37
14. J.H. He Int. J. Mod. Phys. B 20 10 2006 1141
15. J.H. He Chaos Solitons Fractals 26 3 2005 695
16. A. Sadighi D.D. Ganji Int. J. Nonlinear Sci. Numer. Simul. 8 3 2007 435
17. P.D. Ariel T. Hayat S. Asghar Int. J. Nonlinear Sci. Numer. Simul. 7 2006 399
18. D.D. Ganji A. Sadighi Int. J. Nonlinear Sci. Numer. Simul. 7 4 2006 411
19. M. Rafei D.D. Ganji Int. J. Nonlinear Sci. Numer. Simul. 7 3 2006 321
20. A. Beléndez T. Hernández Int. J. Nonlinear Sci. Numer. Simul. 8 1 2007 79
21. M. Dehghan F. Shakeri Phys. Scr. 75 2007 778
22. D.D. Ganji A. Sadighi J. Comput. Appl. Math. 207 2007 24
23. A. Sadighi D.D. Ganji Phys. Lett. A 367 1–2 2007 83
24. M. Dehghan F. Shakeri Prog. Electromagmentics Res. 78 2008 361
25. F. Shakeri M. Dehghan Phys. Scr. 75 2007 551
26. J.H. He Int. J. Nonlinear Mech. 34 4 1999 699
27. J.H. He J. Comput. Appl. Math. 207 1 2007 3
28. A. Sadighi D.D. Ganji Commun. Math. Appl. 54 2007 1112
29. L. Xu Chaos Solitons Fractals 37 1 2008 137
30. J.H. He X.H. Wu Chaos Solitons Fractals 29 2006 108
31. M. Tatari M. Dehghan Phys. Lett. A 362 2007 401
32. E. Yusufoglu Int. J. Nonlinear Sci. Numer. Simul. 8 2 2007 152
33. N.H. Sweilam M. Khader Chaos Solitons Fractals 32 2007 145
34. H. Khaleghi D.D. Ganji A. Sadighi Num. Heat Trans. Part A 52 2007 25
35. M. Dehghan F. Shakeri J. Comput. Appl. Math. 214 2008 435
36. F. Shakeri M. Dehghan Nonlinear Dynam. 51 2008 89
37. M. Tatari M. Dehghan J. Comput. Appl. Math. 207 2007 121
38. J.H. He Appl. Math. Comput. 114 2000 115
39. S. Momani S. Abuasad Chaos Solitons Fractals 27 5 2006 1119
40. S. Abbasbandy J. Comput. Appl. Math. 207 1 2007 53
41. N. Bildik A. Konuralp Int. J. Nonlinear Sci. Numer. Simul. 7 2006 65
42. J.H. He Appl. Math. Comput. 151 2004 287
43. D.D. Ganji A. Rajabi Int. Commun. Heat Mass Trans. 33 3 2006 391
44. D.D. Ganji Phys. Lett. A 355 4–5 2006 337
45. J.H. He Appl. Math. Comput. 156 2004 527