Exact solutions for non-linear Duffing's equations by He's homotopy perturbation method

Indian Journal of Physics

Volumn 86, Issue 8, 2012, Pages 721-726

  Azimzadeh, Z ^a   Vahidi, A R ^b   Babolian, E ^a  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

Differential equations; Duffing's equation; Homotopy perturbation method

Indexed keywords

EID: 84866248186     PISSN: 09731458     EISSN: 09749845     Source Type: Journal    
DOI: 10.1007/s12648-012-0115-1     Document Type: Article

References (31)

1. A Nayfeh Perturbation Methods (New York: Wiley) Chapter 2, Section 1, p 24 (1973)
2. A Malik, F Chand, H Kumar and S C Mishra Indian J. Phys. 86 129 (2012)
3. H Kocak, Z Dahong and A Yildirim Indian J. Phys. 85 311 (2011)
4. A Biswas and E V Krishnan Indian J. Phys. 85 1513 (2011)
5. S Ghafoori, M Motevalli, M G Nejad, F Shakeri, D D Ganji and M Jalaal Curr. Appl. Phys. 11 965 (2011)
6. Z Odibat Comput. Appl. Math. 235 2956 (2011)
7. C W Lim and B S Wu Phys. Lett. A 311 365 (2003)
8. W Murakami, C Murakami, K Hirose and Y H Ichikawa Chaos Solitons and Fractals 15 425 (2003)
9. V Marinca and N Herisanu Chaos Solitons Fractals 37 144 (2008)
10. F Geng Comput. Math. Appl. 61 1935 (2011)
11. E Yusufoglu Appl. Math. Comput. 177 572 (2006)
12. L Cveticanin Chaos Solitons Fractals 30 1221 (2006)
13. A R Vahidi, E Babolian, Gh Asadi Cordshooli and F Samiee Math. Anal. 3 711 (2009)
14. J H He Comput. Methods Appl. Mech. Eng. 178 257 (1999)
15. J H He Nonlinear Mech. 35 37 (2000)
16. J H He Appl. Math. Comput. 151 287 (2004)
17. D D Ganji and A Rajabi Int. Commun. Heat Mass Transf. 33 391 (2006)
18. Z Z Ganji, D D Ganji and M Esmaeilpour Comput. Math. Appl. 58 2107 (2009)
19. M Jalaal and D D Ganji Powder Technol. 198 82 (2010)
20. M Ghasemi, M Tavassoli Kajani and E Babolian Appl. Math. Comput. 188 538 (2007)
21. J Biazar, H Ghazvini and M Eslami Chaos Solitons Fractals 39 1253 (2009)
22. S Abbasbandy Appl. Math. Comput. 172 431 (2006)
23. M Dehghan and F Shakeri Phys. Scr. 75 778 (2007)
24. J Biazar and H Ghazvini Phys. Lett. A 366 79 (2007)
25. D D Ganji Phys. Lett. A 355 337 (2006)
26. M Madani and M Fathizadeh Nonlinear Sci. Lett. A 1 263 (2010)
27. G A Baker Jr and Essentials of Padé Approximants in Theoretical Physics (New York: Academic Press) Chapter 1, Section B, p 4 (1975)
28. A George and Jr Baker Encyclopedia of Mathematics and Its Applications (London: Addison-Wesley) Vol. 13, Chapter 2, Section 4, p 61 (1981)
29. A Ghorbani Chaos Solitons Fractals 39 1486 (2009)
30. G Adomian Solving Frontier Problems of Physics: The Decomposition Method (Dordrecht: Kluwer Academic Publishers) Chapter 12, Section 1, p 238 (1994)
31. J C Jiao, Y Yamamoto, C Dang and Y Hao Comput. Math. Appl. 43 783 (2002)