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Volumn 2010, Issue , 2010, Pages

Modified variational iteration method for free-convective boundary-layer equation using padé approximation

Author keywords

[No Author keywords available]

Indexed keywords

CONVECTIVE BOUNDARY LAYERS; HE'S POLYNOMIALS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; VARIATIONAL ITERATION METHOD;

EID: 77952491182     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2010/318298     Document Type: Article
Times cited : (13)

References (42)
  • 1
    • 50949112266 scopus 로고    scopus 로고
    • An elementary introduction of recently developed asymptotic methods and nanomechanics in textile engineering
    • He J. H., An elementary introduction of recently developed asymptotic methods and nanomechanics in textile engineering International Journal of Modern Physics B 2008 22 21 3487 4578
    • (2008) International Journal of Modern Physics B , vol.22 , Issue.21 , pp. 3487-4578
    • He, J.H.1
  • 2
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J.-H., Some asymptotic methods for strongly nonlinear equations International Journal of Modern Physics B 2006 20 10 1141 1199
    • (2006) International Journal of Modern Physics B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.-H.1
  • 3
    • 33846640787 scopus 로고    scopus 로고
    • Non-perturbative solution of free-convective boundary-layer equation by adomian decomposition method
    • Kechil S. A., Hashim I., Non-perturbative solution of free-convective boundary-layer equation by adomian decomposition method Physics Letters A 2007 363 110 114
    • (2007) Physics Letters A , vol.363 , pp. 110-114
    • Kechil, S.A.1    Hashim, I.2
  • 5
    • 50949124409 scopus 로고    scopus 로고
    • Recent development of the homotopy perturbation method
    • He J.-H., Recent development of the homotopy perturbation method Topological Methods in Nonlinear Analysis 2008 31 2 205 209
    • (2008) Topological Methods in Nonlinear Analysis , vol.31 , Issue.2 , pp. 205-209
    • He, J.-H.1
  • 6
    • 3943092529 scopus 로고    scopus 로고
    • Comparison of homotopy perturbation method and homotopy analysis method
    • He J.-H., Comparison of homotopy perturbation method and homotopy analysis method Applied Mathematics and Computation 2004 156 2 527 539
    • (2004) Applied Mathematics and Computation , vol.156 , Issue.2 , pp. 527-539
    • He, J.-H.1
  • 8
    • 1242287587 scopus 로고    scopus 로고
    • The homotopy perturbation method nonlinear oscillators with discontinuities
    • He J.-H., The homotopy perturbation method nonlinear oscillators with discontinuities Applied Mathematics and Computation 2004 151 1 287 292
    • (2004) Applied Mathematics and Computation , vol.151 , Issue.1 , pp. 287-292
    • He, J.-H.1
  • 9
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of a homotopy technique and a perturbation technique for non-linear problems
    • He J.-H., A coupling method of a homotopy technique and a perturbation technique for non-linear problems International Journal of Non-Linear Mechanics 2000 35 1 37 43
    • (2000) International Journal of Non-Linear Mechanics , vol.35 , Issue.1 , pp. 37-43
    • He, J.-H.1
  • 10
    • 34250668369 scopus 로고    scopus 로고
    • Variational iteration methodsome recent results and new interpretations
    • He J.-H., Variational iteration methodsome recent results and new interpretations Journal of Computational and Applied Mathematics 2007 207 1 3 17
    • (2007) Journal of Computational and Applied Mathematics , vol.207 , Issue.1 , pp. 3-17
    • He, J.-H.1
  • 11
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method, a kind of non-linear analytical technique, some examples
    • He J. H., Variational iteration method, a kind of non-linear analytical technique, some examples International Journal of Non-Linear Mechanics 1999 34 4 699 708
    • (1999) International Journal of Non-Linear Mechanics , vol.34 , Issue.4 , pp. 699-708
    • He, J.H.1
  • 12
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He J.-H., Variational iteration method for autonomous ordinary differential systems Applied Mathematics and Computation 2000 114 2-3 115 123
    • (2000) Applied Mathematics and Computation , vol.114 , Issue.23 , pp. 115-123
    • He, J.-H.1
  • 13
    • 36148932234 scopus 로고    scopus 로고
    • The variational iteration method for eighth-order initial-boundary value problems
    • He J.-H., The variational iteration method for eighth-order initial-boundary value problems Physica Scripta 2007 76 6 680 682
    • (2007) Physica Scripta , vol.76 , Issue.6 , pp. 680-682
    • He, J.-H.1
  • 14
    • 34748870677 scopus 로고    scopus 로고
    • Variational iteration method: New development and applications
    • He J.-H., Wu X.-H., Variational iteration method: new development and applications Computers Mathematics with Applications 2007 54 7-8 881 894
    • (2007) Computers Mathematics with Applications , vol.54 , Issue.78 , pp. 881-894
    • He, J.-H.1    Wu, X.-H.2
  • 15
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • He J.-H., Wu X.-H., Construction of solitary solution and compacton-like solution by variational iteration method Chaos, Solitons Fractals 2006 29 1 108 113
    • (2006) Chaos, Solitons Fractals , vol.29 , Issue.1 , pp. 108-113
    • He, J.-H.1    Wu, X.-H.2
  • 16
    • 34250615490 scopus 로고    scopus 로고
    • A new application of Hes variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials
    • Abbasbandy S., A new application of Hes variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials Journal of Computational and Applied Mathematics 2007 207 1 59 63
    • (2007) Journal of Computational and Applied Mathematics , vol.207 , Issue.1 , pp. 59-63
    • Abbasbandy, S.1
  • 17
    • 34249032106 scopus 로고    scopus 로고
    • Numerical solution of non-linear Klein-Gordon equations by variational iteration method
    • Abbasbandy S., Numerical solution of non-linear Klein-Gordon equations by variational iteration method International Journal for Numerical Methods in Engineering 2007 70 7 876 881
    • (2007) International Journal for Numerical Methods in Engineering , vol.70 , Issue.7 , pp. 876-881
    • Abbasbandy, S.1
  • 18
    • 19144365030 scopus 로고    scopus 로고
    • Variational iteration method for solving Burgers and coupled Burgers equations
    • Abdou M. A., Soliman A. A., Variational iteration method for solving Burgers and coupled Burgers equations Journal of Computational and Applied Mathematics 2005 181 2 245 251
    • (2005) Journal of Computational and Applied Mathematics , vol.181 , Issue.2 , pp. 245-251
    • Abdou, M.A.1    Soliman, A.A.2
  • 19
    • 27144467065 scopus 로고    scopus 로고
    • New applications of variational iteration method
    • Abdou M. A., Soliman A. A., New applications of variational iteration method Physica D 2005 211 1-2 1 8
    • (2005) Physica D , vol.211 , Issue.12 , pp. 1-8
    • Abdou, M.A.1    Soliman, A.A.2
  • 20
    • 34250678918 scopus 로고    scopus 로고
    • Solving nonlinear partial differential equations using the modified variational iteration Pad technique
    • Abassy T. A., El-Tawil M. A., El Zoheiry H., Solving nonlinear partial differential equations using the modified variational iteration Pad technique Journal of Computational and Applied Mathematics 2007 207 1 73 91
    • (2007) Journal of Computational and Applied Mathematics , vol.207 , Issue.1 , pp. 73-91
    • Abassy, T.A.1    El-Tawil, M.A.2    El Zoheiry, H.3
  • 21
    • 34748839537 scopus 로고    scopus 로고
    • Variational iteration method for solving multispecies Lotka-Volterra equations
    • Batiha B., Noorani M. S. M., Hashim I., Variational iteration method for solving multispecies Lotka-Volterra equations Computers Mathematics with Applications 2007 54 7-8 903 909
    • (2007) Computers Mathematics with Applications , vol.54 , Issue.78 , pp. 903-909
    • Batiha, B.1    Noorani, M.S.M.2    Hashim, I.3
  • 22
    • 34848888634 scopus 로고    scopus 로고
    • Hes variational iteration method for fourth-order parabolic equations
    • Biazar J., Ghazvini H., Hes variational iteration method for fourth-order parabolic equations Computers Mathematics with Applications 2007 54 7-8 1047 1054
    • (2007) Computers Mathematics with Applications , vol.54 , Issue.78 , pp. 1047-1054
    • Biazar, J.1    Ghazvini, H.2
  • 23
    • 34748815591 scopus 로고    scopus 로고
    • Variational iteration method and homotopy perturbation method for nonlinear evolution equations
    • Ganji D. D., Tari H., Jooybari M. B., Variational iteration method and homotopy perturbation method for nonlinear evolution equations Computers Mathematics with Applications 2007 54 7-8 1018 1027
    • (2007) Computers Mathematics with Applications , vol.54 , Issue.78 , pp. 1018-1027
    • Ganji, D.D.1    Tari, H.2    Jooybari, M.B.3
  • 25
    • 34848901660 scopus 로고    scopus 로고
    • A variational iteration method for solving parabolic partial differential equations
    • Javidi M., Golbabai A., A variational iteration method for solving parabolic partial differential equations Computers Mathematics with Applications 2007 54 7-8 1003 1009
    • (2007) Computers Mathematics with Applications , vol.54 , Issue.78 , pp. 1003-1009
    • Javidi, M.1    Golbabai, A.2
  • 26
    • 34250650895 scopus 로고    scopus 로고
    • Variational iteration method for solving two-point boundary value problems
    • Lu J., Variational iteration method for solving two-point boundary value problems Journal of Computational and Applied Mathematics 2007 207 1 92 95
    • (2007) Journal of Computational and Applied Mathematics , vol.207 , Issue.1 , pp. 92-95
    • Lu, J.1
  • 27
    • 33847192174 scopus 로고    scopus 로고
    • Partial differential equations possessing Frobenius integrable decompositions
    • Ma W.-X., Wu H. Y., He J. S., Partial differential equations possessing Frobenius integrable decompositions Physics Letters A 2007 364 1 29 32
    • (2007) Physics Letters A , vol.364 , Issue.1 , pp. 29-32
    • Ma, W.-X.1    Wu, H.Y.2    He, J.S.3
  • 28
    • 24944474278 scopus 로고    scopus 로고
    • Application of Hes variational iteration method to Helmholtz equation
    • Momani S., Odibat Z., Application of Hes variational iteration method to Helmholtz equation Chaos, Solitons Fractals 2006 27 5 1119 1123
    • (2006) Chaos, Solitons Fractals , vol.27 , Issue.5 , pp. 1119-1123
    • Momani, S.1    Odibat, Z.2
  • 30
    • 33846688136 scopus 로고    scopus 로고
    • Homotopy perturbation method for solving fourth-order boundary value problems
    • Mohyud-Din S. T., Noor M. A., Homotopy perturbation method for solving fourth-order boundary value problems Mathematical Problems in Engineering 2007 2007 15
    • (2007) Mathematical Problems in Engineering , vol.2007 , pp. 15
    • Mohyud-Din, S.T.1    Noor, M.A.2
  • 31
    • 68949146686 scopus 로고    scopus 로고
    • Homotopy perturbation method for solving partial differential equations
    • Mohyud-Din S. T., Noor M. A., Homotopy perturbation method for solving partial differential equations Zeitschrift fr Naturforschung A 2009 64 157 170
    • (2009) Zeitschrift Fr Naturforschung A , vol.64 , pp. 157-170
    • Mohyud-Din, S.T.1    Noor, M.A.2
  • 34
    • 70349211915 scopus 로고    scopus 로고
    • Solving heat and wave-like equations using Hes polynomials
    • Mohyud-Din S. T., Solving heat and wave-like equations using Hes polynomials Mathematical Problems in Engineering 2009 2009 12
    • (2009) Mathematical Problems in Engineering , vol.2009 , pp. 12
    • Mohyud-Din, S.T.1
  • 35
    • 43749107936 scopus 로고    scopus 로고
    • Variational iteration method for solving higher-order nonlinear boundary value problems using Hes polynomials
    • Noor M. A., Mohyud-Din S. T., Variational iteration method for solving higher-order nonlinear boundary value problems using Hes polynomials International Journal of Nonlinear Sciences and Numerical Simulation 2008 9 2 141 157
    • (2008) International Journal of Nonlinear Sciences and Numerical Simulation , vol.9 , Issue.2 , pp. 141-157
    • Noor, M.A.1    Mohyud-Din, S.T.2
  • 36
    • 47649131065 scopus 로고    scopus 로고
    • Variational homotopy perturbation method for solving higher dimensional initial boundary value problems
    • Noor M. A., Mohyud-Din S. T., Variational homotopy perturbation method for solving higher dimensional initial boundary value problems Mathematical Problems in Engineering 2008 2008 11
    • (2008) Mathematical Problems in Engineering , vol.2008 , pp. 11
    • Noor, M.A.1    Mohyud-Din, S.T.2
  • 37
    • 34748889861 scopus 로고    scopus 로고
    • Application of the variational iteration method to the Whitham-Broer-Kaup equations
    • DOI 10.1016/j.camwa.2006.12.054, PII S0898122107002817, Variational Iteration Method for Nonlinear Problems
    • Rafei M., Daniali H., Application of the variational iteration method to the Whitham-Broer-Kaup equations Computers Mathematics with Applications 2007 54 7-8 1079 1085 (Pubitemid 47488824)
    • (2007) Computers and Mathematics with Applications , vol.54 , Issue.7-8 , pp. 1079-1085
    • Rafei, M.1    Daniali, H.2
  • 38
    • 34250630496 scopus 로고    scopus 로고
    • Harmonic wave generation in non linear thermoelasticity by variational iteration method and Adomians method
    • Sweilam N. H., Harmonic wave generation in non linear thermoelasticity by variational iteration method and Adomians method Journal of Computational and Applied Mathematics 2007 207 1 64 72
    • (2007) Journal of Computational and Applied Mathematics , vol.207 , Issue.1 , pp. 64-72
    • Sweilam, N.H.1
  • 40
    • 34748871953 scopus 로고    scopus 로고
    • Hes homotopy perturbation method for a boundary layer equation in unbounded domain
    • Xu L., Hes homotopy perturbation method for a boundary layer equation in unbounded domain Computers Mathematics with Applications 2007 54 7-8 1067 1070
    • (2007) Computers Mathematics with Applications , vol.54 , Issue.78 , pp. 1067-1070
    • Xu, L.1
  • 41
    • 77950188373 scopus 로고    scopus 로고
    • A modified variational iteration method for strongly nonlinear problems
    • Herisanu N., Marinca V., A modified variational iteration method for strongly nonlinear problems Nonlinear Science Letters A 2010 1 183 192
    • (2010) Nonlinear Science Letters A , vol.1 , pp. 183-192
    • Herisanu, N.1    Marinca, V.2
  • 42
    • 74449084990 scopus 로고    scopus 로고
    • The variational iteration method which should be followed
    • He J. H., Wu G. C., Austin F., The variational iteration method which should be followed Nonlinear Science Letters A 2010 1 1 30
    • (2010) Nonlinear Science Letters A , vol.1 , pp. 1-30
    • He, J.H.1    Wu, G.C.2    Austin, F.3


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