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Volumn 14, Issue 7, 2009, Pages 2999-3006

Analytical solution of three-dimensional Navier-Stokes equations for the flow near an infinite rotating disk

Author keywords

Navier Stokes equations; Pad approximant; Variational iteration method (VIM)

Indexed keywords

BOUNDARY LAYERS; ITERATIVE METHODS; NONLINEAR EQUATIONS; ROTATING DISKS; RUNGE KUTTA METHODS; VISCOUS FLOW;

EID: 59849123041     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2008.10.030     Document Type: Article
Times cited : (58)

References (32)
  • 2
    • 0034606149 scopus 로고    scopus 로고
    • Extented tanh-function method and its applications to nonlinear equations
    • Fan E. Extented tanh-function method and its applications to nonlinear equations. Phys Lett A 277 (2000) 212
    • (2000) Phys Lett A , vol.277 , pp. 212
    • Fan, E.1
  • 3
    • 20844437798 scopus 로고    scopus 로고
    • The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
    • Wazwaz A.M. The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants. Commun Nonlinear Sci Numer Simulat 11 2 (2006) 148-160
    • (2006) Commun Nonlinear Sci Numer Simulat , vol.11 , Issue.2 , pp. 148-160
    • Wazwaz, A.M.1
  • 4
    • 4344673183 scopus 로고    scopus 로고
    • A note on the homogeneous balance method
    • Fan E., and Zhang H. A note on the homogeneous balance method. Phys Lett A 246 (1998) 403
    • (1998) Phys Lett A , vol.246 , pp. 403
    • Fan, E.1    Zhang, H.2
  • 5
    • 33745177020 scopus 로고    scopus 로고
    • Exp-function method for nonlinear wave equations
    • He J.H., and Wu Xu.-H. Exp-function method for nonlinear wave equations. Chaos Solitons Fractals 30 (2006) 700
    • (2006) Chaos Solitons Fractals , vol.30 , pp. 700
    • He, J.H.1    Wu, Xu.-H.2
  • 8
    • 0032672778 scopus 로고    scopus 로고
    • Homotopy perturbation technique
    • He J.H. Homotopy perturbation technique. Comput Meth Appl Mech Eng 178 3-4 (1999) 257-262
    • (1999) Comput Meth Appl Mech Eng , vol.178 , Issue.3-4 , pp. 257-262
    • He, J.H.1
  • 9
    • 0007140364 scopus 로고    scopus 로고
    • A new approach to nonlinear partial differential equations
    • He J.H. A new approach to nonlinear partial differential equations. Commun Nonlinear Sci Numer Simulat 2 4 (1997) 230-235
    • (1997) Commun Nonlinear Sci Numer Simulat , vol.2 , Issue.4 , pp. 230-235
    • He, J.H.1
  • 10
    • 0006990947 scopus 로고    scopus 로고
    • Variational iteration method for delay differential equations
    • He J.H. Variational iteration method for delay differential equations. Commun Nonlinear Sci Numer Simulat 2 4 (1997) 235-236
    • (1997) Commun Nonlinear Sci Numer Simulat , vol.2 , Issue.4 , pp. 235-236
    • He, J.H.1
  • 11
    • 0032307661 scopus 로고    scopus 로고
    • Approximate analytical solution for seepage flow with fractional derivatives in porous media
    • He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput Meth Appl Mech Eng 167 12 (1998) 57-68
    • (1998) Comput Meth Appl Mech Eng , vol.167 , Issue.12 , pp. 57-68
    • He, J.H.1
  • 12
    • 0032308350 scopus 로고    scopus 로고
    • Approximate solution of nonlinear differential equations with convolution product nonlinearities
    • He J.H. Approximate solution of nonlinear differential equations with convolution product nonlinearities. Comput Meth Appl Mech Eng 167 12 (1998) 69-73
    • (1998) Comput Meth Appl Mech Eng , vol.167 , Issue.12 , pp. 69-73
    • He, J.H.1
  • 13
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method - a kind of nonlinear analytical technique: some examples
    • He J.H. Variational iteration method - a kind of nonlinear analytical technique: some examples. Int J Nonlinear Mech 34 4 (1999) 699-708
    • (1999) Int J Nonlinear Mech , vol.34 , Issue.4 , pp. 699-708
    • He, J.H.1
  • 14
    • 34249893388 scopus 로고    scopus 로고
    • Approximate solutions of K(2, 2), KdV and modified KdV equations by variational iteration method, homotopy perturbation method and homotopy analysis method
    • Tari H., Ganji D.D., and Rostamian M. Approximate solutions of K(2, 2), KdV and modified KdV equations by variational iteration method, homotopy perturbation method and homotopy analysis method. Int J Nonlinear Sci Numer Simulat 8 2 (2007) 203-210
    • (2007) Int J Nonlinear Sci Numer Simulat , vol.8 , Issue.2 , pp. 203-210
    • Tari, H.1    Ganji, D.D.2    Rostamian, M.3
  • 15
    • 34249883978 scopus 로고    scopus 로고
    • Variational iteration method for construction of some compact and noncompact structures of Klein-Gorden equations
    • Yusufoglu E. Variational iteration method for construction of some compact and noncompact structures of Klein-Gorden equations. Int J Nonlinear Sci Numer Simulat 8 2 (2007) 153-158
    • (2007) Int J Nonlinear Sci Numer Simulat , vol.8 , Issue.2 , pp. 153-158
    • Yusufoglu, E.1
  • 16
    • 24944474278 scopus 로고    scopus 로고
    • Application of He's variational-iteration method to Helmholtz equation
    • Momani S., and Abusaad S. Application of He's variational-iteration method to Helmholtz equation. Chaos Solitons Fractals 27 5 (2005) 1119-1123
    • (2005) Chaos Solitons Fractals , vol.27 , Issue.5 , pp. 1119-1123
    • Momani, S.1    Abusaad, S.2
  • 17
    • 19144365030 scopus 로고    scopus 로고
    • Variational-iteration method for solving Burgers' and coupled Burgers' equation
    • Abdou M.A., and Soliman A.A. Variational-iteration method for solving Burgers' and coupled Burgers' equation. J Comput Appl Math 181 (2005) 245-251
    • (2005) J Comput Appl Math , vol.181 , pp. 245-251
    • Abdou, M.A.1    Soliman, A.A.2
  • 18
    • 34250650488 scopus 로고    scopus 로고
    • A comparison between the variational iteration method and Adomian decomposition method
    • Wazwaz A.M. A comparison between the variational iteration method and Adomian decomposition method. J Comput Appl Math 207 1 (2007) 129-136
    • (2007) J Comput Appl Math , vol.207 , Issue.1 , pp. 129-136
    • Wazwaz, A.M.1
  • 19
    • 34250620099 scopus 로고    scopus 로고
    • The variational iteration method for rational solutions for KdV, K(2, 2), Burgers, and cubic Boussinesq equations
    • Wazwaz A.M. The variational iteration method for rational solutions for KdV, K(2, 2), Burgers, and cubic Boussinesq equations. J Comput Appl Math 207 1 (2007) 18-23
    • (2007) J Comput Appl Math , vol.207 , Issue.1 , pp. 18-23
    • Wazwaz, A.M.1
  • 21
    • 23644437348 scopus 로고    scopus 로고
    • Necessary conditions for the appearance of noise terms in decomposition solution series
    • Wazwaz A.M. Necessary conditions for the appearance of noise terms in decomposition solution series. Appl Math Comput 81 (1997) 265-274
    • (1997) Appl Math Comput , vol.81 , pp. 265-274
    • Wazwaz, A.M.1
  • 22
    • 0347450513 scopus 로고    scopus 로고
    • A new technique for calculating Adomian polynomials for nonlinear polynomials
    • Wazwaz A.M. A new technique for calculating Adomian polynomials for nonlinear polynomials. Appl Math Comput 111 1 (2000) 33-51
    • (2000) Appl Math Comput , vol.111 , Issue.1 , pp. 33-51
    • Wazwaz, A.M.1
  • 23
    • 0037052586 scopus 로고    scopus 로고
    • A new method for solving singular initial value problems in the second-order differential equations
    • Wazwaz A.M. A new method for solving singular initial value problems in the second-order differential equations. Appl Math Comput 128 (2002) 47-57
    • (2002) Appl Math Comput , vol.128 , pp. 47-57
    • Wazwaz, A.M.1
  • 25
    • 0002811385 scopus 로고    scopus 로고
    • Analytical approximations and Padé approximants for Volterra's population model
    • Wazwaz A.M. Analytical approximations and Padé approximants for Volterra's population model. Appl Math Comput 100 (1999) 13-25
    • (1999) Appl Math Comput , vol.100 , pp. 13-25
    • Wazwaz, A.M.1
  • 27
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • Adomian G. A review of the decomposition method in applied mathematics. J Math Anal Appl 135 (1988) 501-544
    • (1988) J Math Anal Appl , vol.135 , pp. 501-544
    • Adomian, G.1
  • 28
    • 2942555269 scopus 로고    scopus 로고
    • A restrictive Padé approximation for the solution of the generalized Fisher and Burger-Fisher equations
    • Ismail H.N.A., and Abde Rabboh A.A. A restrictive Padé approximation for the solution of the generalized Fisher and Burger-Fisher equations. Appl Math Comput 154 (2004) 203-210
    • (2004) Appl Math Comput , vol.154 , pp. 203-210
    • Ismail, H.N.A.1    Abde Rabboh, A.A.2
  • 29
    • 0000888605 scopus 로고
    • Uber laminare und turbulence reibung
    • Von Karman T. Uber laminare und turbulence reibung. ZAMM 1 (1921) 52-233
    • (1921) ZAMM , vol.1 , pp. 52-233
    • Von Karman, T.1
  • 30
    • 0006996396 scopus 로고
    • General use of the Lagrange multiplier in nonlinear mathematical physics
    • Nemat-Nasser S. (Ed), Pergamon Press, Oxford
    • Inokuti M., et al. General use of the Lagrange multiplier in nonlinear mathematical physics. In: Nemat-Nasser S. (Ed). Variational method in the mechanics of solids (1978), Pergamon Press, Oxford 156-162
    • (1978) Variational method in the mechanics of solids , pp. 156-162
    • Inokuti, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.