메뉴 건너뛰기




Volumn 8, Issue 22, 2008, Pages 4192-4197

Assessment of modified variational iteration method in BVPs high-order differential equations

Author keywords

Boundary value problems; Fourth order differential equations; Modify variational iteration method

Indexed keywords

ENGINEERING SCIENCE; FOURTH-ORDER DIFFERENTIAL EQUATIONS; HOMOTOPY ANALYSIS METHODS; MODIFIED VARIATIONAL ITERATION METHODS; NONLINEAR DIFFERENTIAL EQUATION; SEMI-ANALYTICAL SOLUTION; VARIATIONAL ITERATION METHOD; VARIATIONAL THEORY;

EID: 67649625307     PISSN: 18125654     EISSN: 18125662     Source Type: Journal    
DOI: 10.3923/jas.2008.4192.4197     Document Type: Article
Times cited : (21)

References (22)
  • 1
    • 34748866545 scopus 로고    scopus 로고
    • Modified variational iteration method for Boussinesq equation
    • Abassy, T.A., M.A. El-Tawil and H. El-Zoheiry, 2007. Modified variational iteration method for Boussinesq equation. Comp. Math. Appl, 54: 955-965.
    • (2007) Comp. Math. Appl , vol.54 , pp. 955-965
    • Abassy, T.A.1    El-Tawil, M.A.2    El-Zoheiry, H.3
  • 2
    • 33750339270 scopus 로고    scopus 로고
    • The application of homotopy analysis method to nonlinear equations arising in heat transfer
    • Abbasbandy, S., 2006. The application of homotopy analysis method to nonlinear equations arising in heat transfer. Phys. Lett. A, 360: 109-113.
    • (2006) Phys. Lett. A , vol.360 , pp. 109-113
    • Abbasbandy, S.1
  • 4
    • 22944466379 scopus 로고    scopus 로고
    • Approximate analytical solution of fourth order boundary value problems
    • Al-Hayani, W. and L. Casasús, 2005. Approximate analytical solution of fourth order boundary value problems. Num. Algorithm, 40: 67-78.
    • (2005) Num. Algorithm , vol.40 , pp. 67-78
    • Al-Hayani, W.1    Casasús, L.2
  • 5
    • 34250650099 scopus 로고    scopus 로고
    • Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM
    • Ganji, D.D., M. Jannatabadi and E. Mohseni, 2006. Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM. J. Comp. Applied Math., 207: 35-45.
    • (2006) J. Comp. Applied Math. , vol.207 , pp. 35-45
    • Ganji, D.D.1    Jannatabadi, M.2    Mohseni, E.3
  • 6
    • 34248392690 scopus 로고    scopus 로고
    • Numerical solution of two-dimensional nonlinear differential equation by homotopy perturbation method
    • Ghasemi, M., M.T. Kajani and A. Davari, 2007. Numerical solution of two-dimensional nonlinear differential equation by homotopy perturbation method. Appl. Math. Comput, 189: 341-345.
    • (2007) Appl. Math. Comput , vol.189 , pp. 341-345
    • Ghasemi, M.1    Kajani, M.T.2    Davari, A.3
  • 7
    • 34250841231 scopus 로고    scopus 로고
    • On the MHD flow of a second grade fluid in a porous channel
    • Hayat, T., N. Ahmed, M. Sajid and S. Asghar, 2007. On the MHD flow of a second grade fluid in a porous channel. Comp. Math. Appl., 54: 407-414.
    • (2007) Comp. Math. Appl. , vol.54 , pp. 407-414
    • Hayat, T.1    Ahmed, N.2    Sajid, M.3    Asghar, S.4
  • 8
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method. A kind of non-linear analytical technique: Some examples
    • He, J.H., 1999. Variational iteration method. A kind of non-linear analytical technique: Some examples. Int. J. Non-Linear Mech., 344: 699-708.
    • (1999) Int. J. Non-Linear Mech. , vol.344 , pp. 699-708
    • He, J.H.1
  • 9
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He, J.H., 2000. Variational iteration method for autonomous ordinary differential systems. Applied Math. Comput., 114: 115-123.
    • (2000) Applied Math. Comput. , vol.114 , pp. 115-123
    • He, J.H.1
  • 10
    • 0037440579 scopus 로고    scopus 로고
    • Homotopy perturbation method: A new nonlinear analytical technique
    • He, J.H., 2003. Homotopy perturbation method: A new nonlinear analytical technique. Applied Math. Comput., 135: 73-79.
    • (2003) Applied Math. Comput. , vol.135 , pp. 73-79
    • He, J.H.1
  • 11
    • 17844387391 scopus 로고    scopus 로고
    • Homotopy perturbation method for bifurcation of nonlinear problems
    • He, J.H., 2005. Homotopy perturbation method for bifurcation of nonlinear problems. Int. J. Non-Linear Sci. Num. Simulation, 6: 207-208.
    • (2005) Int. J. Non-Linear Sci. Num. Simulation , vol.6 , pp. 207-208
    • He, J.H.1
  • 12
    • 33746584753 scopus 로고    scopus 로고
    • New Interpretation of homotopy perturbation method
    • He, J.H., 2006. New Interpretation of homotopy perturbation method. Int. J. Modern Phys. B, 20: 2561-2568.
    • (2006) Int. J. Modern Phys. B , vol.20 , pp. 2561-2568
    • He, J.H.1
  • 13
    • 34748870677 scopus 로고    scopus 로고
    • Variational iteration method: New development and applications
    • He, J.H. and X.H. Wu, 2007. Variational iteration method: New development and applications. Comp. Math. Appl., 54: 881-894.
    • (2007) Comp. Math. Appl. , vol.54 , pp. 881-894
    • He, J.H.1    Wu, X.H.2
  • 14
    • 41949123905 scopus 로고    scopus 로고
    • Application of homotopy analysis method and variational iteration method for shock wave equation
    • Khatami, I., N. Tolou, J. Mahmoudi and M. Rezvani, 2008. Application of homotopy analysis method and variational iteration method for shock wave equation. J. Applied Sci., 8: 848-853.
    • (2008) J. Applied Sci. , vol.8 , pp. 848-853
    • Khatami, I.1    Tolou, N.2    Mahmoudi, J.3    Rezvani, M.4
  • 15
    • 0142062919 scopus 로고    scopus 로고
    • Positive solutions of fourth-order two point boundary value problems
    • Liu, B., 2004. Positive solutions of fourth-order two point boundary value problems. Applied Math. Comput., 148: 407-420.
    • (2004) Applied Math. Comput. , vol.148 , pp. 407-420
    • Liu, B.1
  • 16
    • 0035960978 scopus 로고    scopus 로고
    • Multipoint boundary value problems by differential quadrature method
    • Liu, G.R. and T.Y. Wv, 2002. Multipoint boundary value problems by differential quadrature method. Math. Comp. Modelling, 35: 215-227.
    • (2002) Math. Comp. Modelling , vol.35 , pp. 215-227
    • Liu, G.R.1    Wv, T.Y.2
  • 17
    • 41949085630 scopus 로고    scopus 로고
    • Explicit solution of nonlinear ZK-BBM wave equation using exp-function method
    • Mahmoudi, J., N. Tolou, Khatami and D.D. Ganji, 2008. Explicit solution of nonlinear ZK-BBM wave equation using exp-function method. J. Applied Sci., 8: 263-358.
    • (2008) J. Applied Sci. , vol.8 , pp. 263-358
    • Mahmoudi, J.1    Tolou, N.2    Khatami3    Ganji, D.D.4
  • 18
    • 34748865368 scopus 로고    scopus 로고
    • Exact solutions of nonlinear diffusion equations by variational iteration method
    • Sadighi, A. and D.D. Ganji, 2007. Exact solutions of nonlinear diffusion equations by variational iteration method. Comp. Math. Appl., 54: 1112-1121.
    • (2007) Comp. Math. Appl. , vol.54 , pp. 1112-1121
    • Sadighi, A.1    Ganji, D.D.2
  • 19
    • 34548541243 scopus 로고    scopus 로고
    • Modified variational iteration method
    • Tari, H., 2007. Modified variational iteration method. Phys. Lett. A, 369: 290-293.
    • (2007) Phys. Lett. A , vol.369 , pp. 290-293
    • Tari, H.1
  • 20
  • 21
    • 0038448400 scopus 로고    scopus 로고
    • A reliable algorithm for solving boundary value problems for higher-order integro-differential equations
    • Wazwaz, A.M., 2001. A reliable algorithm for solving boundary value problems for higher-order integro-differential equations. Appl. Math. Comput., 118: 327-342.
    • (2001) Appl. Math. Comput. , vol.118 , pp. 327-342
    • Wazwaz, A.M.1
  • 22
    • 34250650488 scopus 로고    scopus 로고
    • A comparison between the variational iteration method and Adomian decomposition method
    • Wazwaz, A.M., 2007. A comparison between the variational iteration method and Adomian decomposition method. J. Comput. Appl. Math., 207: 129-136.
    • (2007) J. Comput. Appl. Math. , vol.207 , pp. 129-136
    • Wazwaz, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.