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Volumn 26, Issue 6, 2010, Pages 1463-1475

Analytical solutions to nonlinear equations arising in heat transfer by variational iteration, homotopy perturbation, and adomian decomposition methods

Author keywords

Adomian decomposition method (ADM); Cylindrical fin; Heat transfer; Homotopy perturbation method (HPM); Variational iteration method (VIM)

Indexed keywords

ADOMIAN DECOMPOSITION METHOD; ADOMIAN DECOMPOSITION METHODS; ANALYTICAL METHOD; ANALYTICAL SOLUTIONS; CYLINDRICAL FIN; FIN EFFICIENCY; HEAT TRANSFER EQUATIONS; HOMOTOPIES; HOMOTOPY PERTURBATION METHOD; NONLINEAR HEAT TRANSFER; VARIATIONAL ITERATION METHOD;

EID: 78650083606     PISSN: 0749159X     EISSN: 10982426     Source Type: Journal    
DOI: 10.1002/num.20503     Document Type: Article
Times cited : (2)

References (31)
  • 1
    • 0032672778 scopus 로고    scopus 로고
    • Homotopy perturbation technique
    • J. H. He, Homotopy perturbation technique, Comput Methods Appl Mech Eng 178 (1999), 257-262.
    • (1999) Comput Methods Appl Mech Eng , vol.178 , pp. 257-262
    • He, J.H.1
  • 2
    • 0037440579 scopus 로고    scopus 로고
    • Homotopy perturbation method: A new nonlinear analytical technique
    • J. H. He, Homotopy perturbation method: a new nonlinear analytical technique, Appl Math Comput 135 (2003), 73-79.
    • (2003) Appl Math Comput , vol.135 , pp. 73-79
    • He, J.H.1
  • 3
    • 18844426016 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to nonlinear wave equations
    • J. H. He, Application of homotopy perturbation method to nonlinear wave equations, Chaos Solitons Fractals 26 (2005), 695-700.
    • (2005) Chaos Solitons Fractals , vol.26 , pp. 695-700
    • He, J.H.1
  • 4
    • 17844387391 scopus 로고    scopus 로고
    • Homotopy perturbation method for bifurcation of nonlinear problems
    • J. H. He, Homotopy perturbation method for bifurcation of nonlinear problems, Int J Nonlinear Sci Numer Simul 6 (2005), 207-208.
    • (2005) Int J Nonlinear Sci Numer Simul , vol.6 , pp. 207-208
    • He, J.H.1
  • 5
    • 0037440579 scopus 로고    scopus 로고
    • Homotopy perturbation method: A new nonlinear analytical technique
    • J. H. He, Homotopy perturbation method: a new nonlinear analytical technique, Appl Math Comput 135 (2003), 73-79.
    • (2003) Appl Math Comput , vol.135 , pp. 73-79
    • He, J.H.1
  • 6
    • 50949124409 scopus 로고    scopus 로고
    • Recent development of the homotopy perturbation method
    • J. H. He, Recent development of the homotopy perturbation method, Topol Methods Nonlinear Anal 31 (2008), 205-209.
    • (2008) Topol Methods Nonlinear Anal , vol.31 , pp. 205-209
    • He, J.H.1
  • 7
    • 33646893481 scopus 로고    scopus 로고
    • The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
    • D. D. Ganj, The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer, Phys Lett A 355 (2006), 337-341.
    • (2006) Phys Lett A , vol.355 , pp. 337-341
    • Ganj, D.D.1
  • 8
    • 33751251025 scopus 로고    scopus 로고
    • Application of homotopy perturbation method in nonlinear heat conduction and convection equations
    • A. Rajabi, D. D. Ganji, and H. Taherian, Application of homotopy perturbation method in nonlinear heat conduction and convection equations, Phys Lett A 360 (2006), 570-573.
    • (2006) Phys Lett A , vol.360 , pp. 570-573
    • Rajabi, A.1    Ganji, D.D.2    Taherian, H.3
  • 9
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method, a kind of non-linear analytical technique: Some examples
    • J. H. He, Variational iteration method, a kind of non-linear analytical technique: some examples, Int J Nonlinear Mech 34 (1999), 699-708.
    • (1999) Int J Nonlinear Mech , vol.34 , pp. 699-708
    • He, J.H.1
  • 10
    • 0032307661 scopus 로고    scopus 로고
    • Approximate analytical solution for seepage flow with fractional derivatives in porous media
    • J. H. He, Approximate analytical solution for seepage flow with fractional derivatives in porous media, Comput Methods Appl Mech Eng 167 (1998), 57-68.
    • (1998) Comput Methods Appl Mech Eng , vol.167 , pp. 57-68
    • He, J.H.1
  • 11
    • 0032308350 scopus 로고    scopus 로고
    • Approximate solution of nonlinear differential equations with convolution product nonlinearities
    • J. H. He, Approximate solution of nonlinear differential equations with convolution product nonlinearities, Comput Methods Appl Mech Eng 167 (1998), 69-73.
    • (1998) Comput Methods Appl Mech Eng , vol.167 , pp. 69-73
    • He, J.H.1
  • 12
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • J. H. He and X. H. Wu, Construction of solitary solution and compacton-like solution by variational iteration method, Chaos Solitons Fractals 29 (2006), 108-113.
    • (2006) Chaos Solitons Fractals , vol.29 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 13
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method-A kind of non-linear analytical technique: Some examples
    • J. H. He, Variational iteration method-a kind of non-linear analytical technique: some examples, Int Nonlinear Mech 344 (1999), 699-708.
    • (1999) Int Nonlinear Mech , vol.344 , pp. 699-708
    • He, J.H.1
  • 14
    • 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), 115-123.
    • (2000) Appl Math Comput , vol.114 , pp. 115-123
    • He, J.H.1
  • 15
    • 34748870677 scopus 로고    scopus 로고
    • Variational iteration method: Newdevelopment and applications
    • J. H. He,Variational iteration method: newdevelopment and applications, Comput Math Appl 54 (2007), 881-894.
    • (2007) Comput Math Appl , vol.54 , pp. 881-894
    • He, J.H.1
  • 16
    • 34250668369 scopus 로고    scopus 로고
    • Variational iteration method-some recent results and new interpretations
    • J. H. He, Variational iteration method-some recent results and new interpretations, J Comput Appl Math 207 (2007), 3-17.
    • (2007) J Comput Appl Math , vol.207 , pp. 3-17
    • He, J.H.1
  • 17
    • 34547842881 scopus 로고    scopus 로고
    • Some nonlinear heat transfer equations solved by three approximate methods
    • D. D. Ganji, M. J. Hosseini, and J. Shayegh, Some nonlinear heat transfer equations solved by three approximate methods, Heat Mass Transfer 34 (2007), 1003-1016.
    • (2007) Heat Mass Transfer , vol.34 , pp. 1003-1016
    • Ganji, D.D.1    Hosseini, M.J.2    Shayegh, J.3
  • 18
    • 33846693007 scopus 로고    scopus 로고
    • The application of He's variational iteration method to nonlinear equations arising in heat transfer
    • H. Tari, D. D. Ganji, and H. Babazadeh, The application of He's variational iteration method to nonlinear equations arising in heat transfer, Phys Lett A 363 (2007), 213-217.
    • (2007) Phys Lett A , vol.363 , pp. 213-217
    • Tari, H.1    Ganji, D.D.2    Babazadeh, H.3
  • 19
    • 0021495016 scopus 로고
    • New approach to nonlinear partial differential equations
    • G. Adomian, New approach to nonlinear partial differential equations, J Math Anal Appl 102 (1984), 420-434.
    • (1984) J Math Anal Appl , vol.102 , pp. 420-434
    • Adomian, G.1
  • 22
    • 34249865652 scopus 로고    scopus 로고
    • He's homotopy perturbation method for calculating adomian polynomials
    • A. Ghorbani and J. Saberi-Nadjafi, He's homotopy perturbation method for calculating adomian polynomials, Int J Nonlinear Sci Num 8 (2007), 229-232.
    • (2007) Int J Nonlinear Sci Num , vol.8 , pp. 229-232
    • Ghorbani, A.1    Saberi-Nadjafi, J.2
  • 23
    • 43749107936 scopus 로고    scopus 로고
    • Variational iteration method for solving higher-order nonlinear boundary value problems using He's polynomials
    • MA. Noor and ST. Mohyud-Din, Variational iteration method for solving higher-order nonlinear boundary value problems using He's polynomials, Int J Nonlinear Sci Num 9 (2008), 141-156.
    • (2008) Int J Nonlinear Sci Num , vol.9 , pp. 141-156
    • Noor, M.A.1    Mohyud-Din, S.T.2
  • 25
    • 0032162793 scopus 로고    scopus 로고
    • Perturbation of the input data of models used for the prediction of turbulent air flow in an enclosure
    • P. Aude, C. Beghein, P. Depecher, and C. Inard, Perturbation of the input data of models used for the prediction of turbulent air flow in an enclosure, Numer Heat Transfer Part B: Fundam 34 (1998), 139-164.
    • (1998) Numer Heat Transfer Part B: Fundam , vol.34 , pp. 139-164
    • Aude, P.1    Beghein, C.2    Depecher, P.3    Inard, C.4
  • 27
    • 0029755408 scopus 로고    scopus 로고
    • Hybrid perturbation-Galerkin technique for nonlinear heat conduction problems II: Partial differential equations
    • J. Fillo and J. Geer, Hybrid perturbation-Galerkin technique for nonlinear heat conduction problems. II. Partial differential equations, Numer Heat Transfer Part B: Fundam 29 (1996), 75-89. (Pubitemid 126593706)
    • (1996) Numerical Heat Transfer, Part B: Fundamentals , vol.29 , Issue.1 , pp. 75-89
    • Fillo, J.1    Geer, J.2
  • 28
    • 33751251025 scopus 로고    scopus 로고
    • Application of homotopy perturbation method in nonlinear heat conduction and convection equations
    • A. Rajabi, D. D. Ganji, and H. Taherian, Application of homotopy perturbation method in nonlinear heat conduction and convection equations, Phys Lett A 360 (2006), 570-573.
    • (2006) Phys Lett A , vol.360 , pp. 570-573
    • Rajabi, A.1    Ganji, D.D.2    Taherian, H.3
  • 30
    • 0031441505 scopus 로고    scopus 로고
    • Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbo machinery aerodynamics
    • J. H. He, Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbo machinery aerodynamics, Int J Turbo Jet-Engines 14 (1997), 23-29.
    • (1997) Int J Turbo Jet-Engines , vol.14 , pp. 23-29
    • He, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.