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Volumn 15, Issue 9, 2010, Pages 2293-2302

A new spectral-homotopy analysis method for solving a nonlinear second order BVP

Author keywords

Brinkman Forchheimer model; Chebyshev spectral method; Homotopy analysis method

Indexed keywords

BOUNDARY VALUE PROBLEMS; FLOW OF FLUIDS; RUNGE KUTTA METHODS;

EID: 77949491280     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.09.019     Document Type: Article
Times cited : (110)

References (32)
  • 1
    • 33750339270 scopus 로고    scopus 로고
    • The application of the homotopy analysis method to nonlinear equations arising in heat transfer
    • Abbasbandy S. The application of the homotopy analysis method to nonlinear equations arising in heat transfer. Phys Lett A 360 (2006) 10913
    • (2006) Phys Lett A , vol.360 , pp. 10913
    • Abbasbandy, S.1
  • 2
    • 33847658380 scopus 로고    scopus 로고
    • Homotopy analysis method for heat radiation equations
    • Abbasbandy S. Homotopy analysis method for heat radiation equations. Int Commun Heat Mass Transfer 34 (2007) 3807
    • (2007) Int Commun Heat Mass Transfer , vol.34 , pp. 3807
    • Abbasbandy, S.1
  • 3
    • 0016985760 scopus 로고
    • Nonlinear stochastic differential equations
    • Adomian G. Nonlinear stochastic differential equations. J Math Anal Appl 55 (1976) 44152
    • (1976) J Math Anal Appl , vol.55 , pp. 44152
    • Adomian, G.1
  • 4
    • 44949284845 scopus 로고
    • A review of the decomposition method and some recent results for nonlinear equations
    • Adomian G. A review of the decomposition method and some recent results for nonlinear equations. Comp Math Appl 21 (1991) 10127
    • (1991) Comp Math Appl , vol.21 , pp. 10127
    • Adomian, G.1
  • 5
    • 25844516703 scopus 로고    scopus 로고
    • Fully developed flow through a porous channel bounded by flat plates
    • Awartani M.M., and Hamdan M.H. Fully developed flow through a porous channel bounded by flat plates. Appl Math Comput 169 (2005) 749-757
    • (2005) Appl Math Comput , vol.169 , pp. 749-757
    • Awartani, M.M.1    Hamdan, M.H.2
  • 7
    • 77950916952 scopus 로고    scopus 로고
    • A reliable treatment of a homotopy analysis method for two-dimensional viscous flow in a rectangular domain bounded by two moving porous walls
    • 10.1016/j.nonrwa.2009.03.006
    • Dinarvand S., and Rashidi M.M. A reliable treatment of a homotopy analysis method for two-dimensional viscous flow in a rectangular domain bounded by two moving porous walls. Nonlinear Anal: Real World Appl (2009) 10.1016/j.nonrwa.2009.03.006
    • (2009) Nonlinear Anal: Real World Appl
    • Dinarvand, S.1    Rashidi, M.M.2
  • 8
    • 0001044964 scopus 로고
    • Accuracy and speed in computing the Chebyshev collocation derivative
    • Don W.S., and Solomonoff A. Accuracy and speed in computing the Chebyshev collocation derivative. SIAM J Sci Comput 16 6 (1995) 1253-1268
    • (1995) SIAM J Sci Comput , vol.16 , Issue.6 , pp. 1253-1268
    • Don, W.S.1    Solomonoff, A.2
  • 9
    • 55549085865 scopus 로고    scopus 로고
    • Effects of the slip boundary condition on non-Newtonian flows in a channel
    • Ellahi R. Effects of the slip boundary condition on non-Newtonian flows in a channel. Commun Nonlinear Sci Numer Simul 14 (2009) 1377-1384
    • (2009) Commun Nonlinear Sci Numer Simul , vol.14 , pp. 1377-1384
    • Ellahi, R.1
  • 10
    • 33750714429 scopus 로고    scopus 로고
    • Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet
    • Hayat T., and Sajid M. Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet. Int J Heat Mass Transfer 50 (2007) 7584
    • (2007) Int J Heat Mass Transfer , vol.50 , pp. 7584
    • Hayat, T.1    Sajid, M.2
  • 11
    • 33846635947 scopus 로고    scopus 로고
    • The influence of thermal radiation on MHD flow of a second grade fluid
    • Hayat T., Abbas Z., Sajid M., and Asghar S. The influence of thermal radiation on MHD flow of a second grade fluid. Int J Heat Mass Transfer 50 (2007) 93141
    • (2007) Int J Heat Mass Transfer , vol.50 , pp. 93141
    • Hayat, T.1    Abbas, Z.2    Sajid, M.3    Asghar, S.4
  • 12
    • 34447642165 scopus 로고    scopus 로고
    • Homotopy analysis of MHD boundary layer flow of an upper-convected Maxwell fluid
    • Hayat T., and Sajid M. Homotopy analysis of MHD boundary layer flow of an upper-convected Maxwell fluid. Int J Eng Sci 45 (2007) 393401
    • (2007) Int J Eng Sci , vol.45 , pp. 393401
    • Hayat, T.1    Sajid, M.2
  • 13
    • 34250841231 scopus 로고    scopus 로고
    • On the MHD flow of a second grade fluid in a porous channel
    • Hayat T., Ahmed N., Sajid M., and Asghar S. On the MHD flow of a second grade fluid in a porous channel. Comp Math Appl 54 (2007) 40714
    • (2007) Comp Math Appl , vol.54 , pp. 40714
    • Hayat, T.1    Ahmed, N.2    Sajid, M.3    Asghar, S.4
  • 14
    • 33847032526 scopus 로고    scopus 로고
    • The effect of the slip condition on flows of an Oldroyd 6-constant fluid
    • Hayat T., Khan M., and Ayub M. The effect of the slip condition on flows of an Oldroyd 6-constant fluid. J Comput Appl 202 (2007) 40213
    • (2007) J Comput Appl , vol.202 , pp. 40213
    • Hayat, T.1    Khan, M.2    Ayub, M.3
  • 15
    • 39049163879 scopus 로고    scopus 로고
    • Analytic solution for MHD flow of a third order fluid in a porous channel
    • Hayat T., Ahmed N., and Sajid M. Analytic solution for MHD flow of a third order fluid in a porous channel. J Comp Appl Math 214 (2008) 572-582
    • (2008) J Comp Appl Math , vol.214 , pp. 572-582
    • Hayat, T.1    Ahmed, N.2    Sajid, M.3
  • 16
    • 0141927321 scopus 로고    scopus 로고
    • On the explicit analytic solutions of an Oldroyd 6-constant fluid
    • Hayat T., Khan M., and Ayub M. On the explicit analytic solutions of an Oldroyd 6-constant fluid. Int J Eng Sci 42 (2004) 123-135
    • (2004) Int J Eng Sci , vol.42 , pp. 123-135
    • Hayat, T.1    Khan, M.2    Ayub, M.3
  • 17
    • 70349796197 scopus 로고    scopus 로고
    • On the homotopy solution for Poiseulle flow of a fourth grade fluid
    • Hayat T., Naz R., and Sajid M. On the homotopy solution for Poiseulle flow of a fourth grade fluid. Commun Nonlinear Sci Numer Simul 15 3 (2010) 581-589
    • (2010) Commun Nonlinear Sci Numer Simul , vol.15 , Issue.3 , pp. 581-589
    • Hayat, T.1    Naz, R.2    Sajid, M.3
  • 18
    • 33745880695 scopus 로고    scopus 로고
    • Homotopy solutions for the channel flow of a third grade fluid
    • Hayat T., Ellahi R., Ariel P.D., and Asghar S. Homotopy solutions for the channel flow of a third grade fluid. Nonlinear Dyn 45 (2006) 55-64
    • (2006) Nonlinear Dyn , vol.45 , pp. 55-64
    • Hayat, T.1    Ellahi, R.2    Ariel, P.D.3    Asghar, S.4
  • 19
    • 0032672778 scopus 로고    scopus 로고
    • Homotopy perturbation technique
    • He J.H. 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
  • 20
    • 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. Int J Non-linear Mech 35 (2000) 37-43
    • (2000) Int J Non-linear Mech , vol.35 , pp. 37-43
    • He, J.H.1
  • 21
    • 35349001769 scopus 로고    scopus 로고
    • A perturbation solution for forced convection in a porous-saturated duct
    • Hooman K. A perturbation solution for forced convection in a porous-saturated duct. J Comp Appl Math 211 (2008) 57-66
    • (2008) J Comp Appl Math , vol.211 , pp. 57-66
    • Hooman, K.1
  • 24
    • 25844456083 scopus 로고    scopus 로고
    • Comparison between the homotopy analysis method and the homotopy perturbation method
    • Liao S.J. Comparison between the homotopy analysis method and the homotopy perturbation method. Appl Math Comput 169 (2005) 1186-1194
    • (2005) Appl Math Comput , vol.169 , pp. 1186-1194
    • Liao, S.J.1
  • 25
    • 55549136027 scopus 로고    scopus 로고
    • Notes on the homotopy analysis method: some definitions and theories
    • Liao S.J. Notes on the homotopy analysis method: some definitions and theories. Commun Nonlinear Sci Numer Simul 14 (2009) 983-997
    • (2009) Commun Nonlinear Sci Numer Simul , vol.14 , pp. 983-997
    • Liao, S.J.1
  • 27
    • 72149124772 scopus 로고    scopus 로고
    • Heat transfer analysis of three dimensional flow in a channel of lower stretching wall
    • 10.1016/j.jtice.2009.03.011
    • Mehmood A., and Ali A. Heat transfer analysis of three dimensional flow in a channel of lower stretching wall. J Taiwan Inst Chem Eng (2009) 10.1016/j.jtice.2009.03.011
    • (2009) J Taiwan Inst Chem Eng
    • Mehmood, A.1    Ali, A.2
  • 28
    • 0038712849 scopus 로고
    • On the Adomian method and comparisons with Picards method
    • Rach R. On the Adomian method and comparisons with Picards method. J Math Anal Appl 10 (1984) 13959
    • (1984) J Math Anal Appl , vol.10 , pp. 13959
    • Rach, R.1
  • 29
    • 61749094275 scopus 로고    scopus 로고
    • Purely analytic approximate solutions for steady three-dimensional problem of condensation film on inclined rotating disk by homotopy analysis method
    • Rashidi M.M., and Dinarvand S. Purely analytic approximate solutions for steady three-dimensional problem of condensation film on inclined rotating disk by homotopy analysis method. Nonlinear Anal: Real World Appl 10 (2009) 2346-2356
    • (2009) Nonlinear Anal: Real World Appl , vol.10 , pp. 2346-2356
    • Rashidi, M.M.1    Dinarvand, S.2
  • 30
    • 67649588586 scopus 로고    scopus 로고
    • Homotopy analysis for boundary layer flow of micropolar fluid through a porous channel
    • Sajid M., Abbas Z., and Hayat T. Homotopy analysis for boundary layer flow of micropolar fluid through a porous channel. Appl Math Model 33 (2009) 4120-4125
    • (2009) Appl Math Model , vol.33 , pp. 4120-4125
    • Sajid, M.1    Abbas, Z.2    Hayat, T.3
  • 32
    • 67349169966 scopus 로고    scopus 로고
    • On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach
    • van Gorder R.A., and Vajravelu K. On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach. Commun Nonlinear Sci Numer Simul 14 (2009) 4078-4089
    • (2009) Commun Nonlinear Sci Numer Simul , vol.14 , pp. 4078-4089
    • van Gorder, R.A.1    Vajravelu, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.