Maintaining the stability of nonlinear differential equations by the enhancement of HPM

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

Volumn 372, Issue 16, 2008, Pages 2855-2861

  Hosein Nia, S H ^a   Ranjbar, A N ^a   Ganji, D D ^a   Soltani, H ^a   Ghasemi, J ^a  

^a BABOL NOSHIRVANI UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Differential equation; Enhanced HPM (EHPM); Homotopy perturbation method; Nonlinear dynamic; Secular terms

Indexed keywords

DIFFERENTIAL EQUATIONS; DYNAMICS; ITERATIVE METHODS; PERTURBATION TECHNIQUES;

ENHANCED HPM (EHPM); HOMOTOPY PERTURBATION METHOD (HPM); NONLINEAR DIFFERENTIAL EQUATION; SECULAR TERMS; STABILITY VERIFICATION;

NONLINEAR EQUATIONS;

EID: 40949147772     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.12.054     Document Type: Article

References (20)

1. Vidyasagar M. Nonlinear Systems Analysis. second ed. (1993), Prentice Hall International Editions. 0-13-623513-1
2. Khalil H. Non-linear Systems. third ed. (2002), Prentice Hall, Englewood Cliffs, USA. 964-6213-22-7
3. Ganji D.D., and Sadighi A. J. Comput. Appl. Math. 207 (2007) 24
4. Liao S.J. Int. J. Non-Linear Mech. 30 (1995) 371
5. Liao S. Appl. Math. Comput. 169 (2005) 1186
6. He J. Commun. Non-linear Sci. Numer. Simul. 3 2 (1998) 92
7. He J. Int. J. Non-Linear Mech. 35 (2000) 37
8. Abbasbandy S. Chaos Solitons Fractals 30 (2006) 1206
9. Ganji D.D. Phys. Lett. A 355 (2006) 337
10. Li S., and Liao S.-J. Appl. Math. Comput. 169 (2005) 854
11. Liao S.-J. Int. J. Non-Linear Mech. 39 (2004) 271
12. Liao S.-J. Int. J. Non-Linear Mech. 38 (2003) 1173
13. Abbasbandy S. Int. Commun. Heat Mass Transfer 34 (2007) 380
14. Ganji D.D., and Sadighi A. Phys. Lett. A 207 1 (2007) 24
15. Tari H., Ganji D.D., and Babazadeh H. Phys. Lett. A 363 (2007) 213
16. Hashemi S.H., Mohammadi Daniali H.R., and Ganji D.D. Appl. Math. Comput. 192 1 (2007) 157
17. He J.-H. Comput. Methods Appl. Mech. Eng. 178 (1999) 257
18. Zeidan V. SIAM J. Control Opt. 32 (1994) 1297
19. Ganji D.D., Hosseini M.J., and Shayegh J. Int. Commun. Heat Mass Transfer 34 8 (2007) 1003
20. Kreyszig E. Advanced Engineering Mathematics. fourth ed. (1979), John Willey & Sons