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Volumn 5, Issue 17-20, 2011, Pages 863-870

Application of variational iteration method to partial differential equation systems

Author keywords

Lagrangian multiplier; Partial differential equation system; Variational iteration method (VIM)

Indexed keywords


EID: 79959892287     PISSN: 13128876     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (11)
  • 1
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    • The decomposition method applied to systems of partial differential equations and to the reaction - diffusion Brusselator model
    • Abdul-Majid Wazwaz, The decomposition method applied to systems of partial differential equations and to the reaction - diffusion Brusselator model, Applied Mathematics and Computation. 110 (2000) 251-264.
    • (2000) Applied Mathematics and Computation , vol.110 , pp. 251-264
    • Wazwaz, A.1
  • 3
    • 77957051829 scopus 로고    scopus 로고
    • Approximate Analytical Solutions to Nonlinear Oscillators Using He's Amplitude-Frequency Formulation, Int
    • H. Babazadeh, D. D. Ganji, and M. Akbarzade, Approximate Analytical Solutions to Nonlinear Oscillators Using He's Amplitude-Frequency Formulation, Int. Journal of Math. Analysis, Vol. 4, (2010), no. 32, 1591 - 1597.
    • (2010) Journal of Math. Analysis , vol.4 , Issue.32 , pp. 1591-1597
    • Babazadeh, H.1    Ganji, D.D.2    Akbarzade, M.3
  • 4
    • 69249242670 scopus 로고    scopus 로고
    • APPLICATION OF THE ENERGY BALANCE METHOD FOR STRONGLY NONLINEAR OSCILLATORS
    • H. Pashaei, D. D. Ganji, and M. Akbarzade, APPLICATION OF THE ENERGY BALANCE METHOD FOR STRONGLY NONLINEAR OSCILLATORS, Progress In Electromagnetics Research M, (2008): Vol. 2, 47-56.
    • (2008) Progress In Electromagnetics Research M , vol.2 , pp. 47-56
    • Pashaei, H.1    Ganji, D.D.2    Akbarzade, M.3
  • 5
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • J.H. He, Variational iteration method for autonomous ordinary differential systems, Appl. Math. Comput. 114 (2000), pp. 115-123.
    • (2000) Appl. Math. Comput. , vol.114 , pp. 115-123
    • He, J.H.1
  • 6
    • 33750368073 scopus 로고    scopus 로고
    • Variational principles for coupled nonlinear Schrodinger equations
    • L. Xu, Variational principles for coupled nonlinear Schrodinger equations, Physics Letters A 359 (6) (2006) 627-629.
    • (2006) Physics Letters A , vol.359 , Issue.6 , pp. 627-629
    • Xu, L.1
  • 7
    • 84944237342 scopus 로고    scopus 로고
    • Nonlinear Partial Differential Equations for Scientists and Engineers
    • Boston
    • L. Debnath, Nonlinear Partial Differential Equations for Scientists and Engineers, Birkhauser, Boston 1997.
    • (1997) Birkhauser
    • Debnath, L.1
  • 8
    • 79959913567 scopus 로고    scopus 로고
    • Coupled Method of Homotopy Perturbation Method and Variational Approach for Solution to Nonlinear Cubic-Quintic Duffing Oscillator
    • M. Akbarzade, D. D. Ganji, Coupled Method of Homotopy Perturbation Method and Variational Approach for Solution to Nonlinear Cubic-Quintic Duffing Oscillator, Adv. Theor. Appl. Mech., Vol. 3, (2010), no. 7, 329 - 337.
    • (2010) Adv. Theor. Appl. Mech. , vol.3 , Issue.7 , pp. 329-337
    • Akbarzade, M.1    Ganji, D.D.2
  • 10
    • 32644457439 scopus 로고    scopus 로고
    • The use of variational iteration method, differential transform method and adomian decomposition method for solving different types of nonlinear partial differential equations
    • N. Bildik and A. Konuralp, The use of variational iteration method, differential transform method and adomian decomposition method for solving different types of nonlinear partial differential equations, Int. J. Nonlinear Sci. Numer. Simul. 7 (2006), pp. 65-70.
    • (2006) Int. J. Nonlinear Sci. Numer. Simul. , vol.7 , pp. 65-70
    • Bildik, N.1    Konuralp, A.2
  • 11
    • 30344464250 scopus 로고    scopus 로고
    • Application of variational iteration method to nonlinear differential equations of fractional order
    • Z.M. Odibat and S. Momani, Application of variational iteration method to nonlinear differential equations of fractional order, Int. J. Nonlinear Sci. Numer. Simul. 7 (2006), pp. 27-34.
    • (2006) Int. J. Nonlinear Sci. Numer. Simul. , vol.7 , pp. 27-34
    • Odibat, Z.M.1    Momani, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.