Variational iteration method for re-formulated partial differential equations

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 11, Issue 2, 2010, Pages 87-92

  Mohyud Din, Syed Tauseef ^a   Noor, Muhammad Aslam ^b,c   Noor, K I ^b   MMHosseini, ^d  

^a HITEC University Taxila Cantt   (Pakistan)

^b COMSATS Institute of Information Technology ^*  (Pakistan)

^c KING SAUD UNIVERSITY   (Saudi Arabia)

^d YAZD UNIVERSITY   (Iran)

Author keywords

Partial differential equations; Transformation; Variational iteration method

Indexed keywords

EID: 78649513566     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. M. A. Abdou and A. A. Soliman, New applications of variational iteration method, Phys. D 211 (1-2) (2005), 1-8.
2. J. Biazar and H. Ghazvini, He's variational iteration method for fourth-order parabolic equations, Comput. Math. Appl. 54 (2007), 1047-1054. (Pubitemid 47496210)
3. D. D. Ganji, H. Tari, M. B. Jooybari, Variational iteration method and homotopy perturbation method for evolution equations, Comput. Math. Appl. 54 (2007), 1018-1027. (Pubitemid 47488816)
4. J. H. He and X. H. Wu, Exp-function method for nonlinear wave equations, Chaos, Solitons & Fractals, 30 (3) (2006), 700-708.
5. J. H. He, An elementary introduction of recently developed asymptotic methods and nanomechanics in textile engineering, Int. J. Mod. Phys. B, 22 (21) (2008), 3487-4578.
6. J. H. He, Some asymptotic methods for strongly nonlinear equation, Int. J. Mod. Phys. (20)10 (2006), 1144-1199.
7. J. H. He, Variational iteration methodSome recent results and new interpretations, J. Comput. Appl. Math. 207 (2007), 3-17.
8. J. H. He and X. Wu, Variational iteration method: New developments and applications, Comput. Math. Appl. 54(2007), 881-894. (Pubitemid 47488841)
9. J. H. He, Variational iteration method, A kind of non-linear analytical technique, some examples, Internat. J. Nonlinear Mech. 34 (4) (1999), 699-708.
10. J. H. He, Variational iteration method for autonomous ordinary differential systems, Appl. Math. Comput. 114 (2-3) (2000), 115-123.
11. J. H. He and X. H. Wu, Construction of solitary solution and compaction-like solution by variational iteration method, Chaos, Solitons & Fractals, 29 (1) (2006), 108-113.
12. J. H. He, The variational iteration method for eighth-order initial boundary value problems, Phys. Scr. 76(6) (2007), 680-682.
13. J. Lu, Variational iteration method for solving two-point boundary value problems, J. Comput. Appl. Math. 207 (2007), 92-95. (Pubitemid 46935389)
14. S. T. Mohyud-Din, M. A. Noor and K. I. Noor, Some relatively new techniques for nonlinear problems, Math. Prob. Eng. 2009 (2009).
15. M. A. Noor and S. T. Mohyud-Din, Variational iteration method for solving higher-order nonlinear boundary value problems using He's polynomials, Int. J. Nonlin. Sci. Num. Simul. 9 (2) (2008), 141-157.
16. M. A. Noor and S. T. Mohyud-Din, An efficient method for fourth order boundary value problems, Comput. Math. Appl. 54 (2007), 1101-1111.
17. S. D. Zhu, Exp-function method for the Hybrid-Lattice system, Inter. J. Nonlin. Sei. Numer. Sim. 8(2007), 461-464.