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Volumn 23, Issue 1, 2011, Pages 115-119

Application of modified Laplace decomposition method for solving boundary layer equation

Author keywords

Adomian polynomials; Boundary layer equation; Modified Laplace decomposition method; Pad approximants; Series solutions

Indexed keywords


EID: 79951858369     PISSN: 10183647     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jksus.2010.06.018     Document Type: Article
Times cited : (46)

References (35)
  • 1
    • 33745859755 scopus 로고    scopus 로고
    • A numerical solution of Blasius equation by Adomian's decomposition method and comparison with homotopy perturbation method
    • Abbasbandy, S., 2007. A numerical solution of Blasius equation by Adomian's decomposition method and comparison with homotopy perturbation method. Chaos, Solitons and Fractals 31 (1), 257-280.
    • (2007) Chaos, Solitons and Fractals , vol.31 , Issue.1 , pp. 257-280
    • Abbasbandy, S.1
  • 4
    • 0020881905 scopus 로고
    • Similarity solutions of the boundary layer equations for a stretching wall
    • Banks, W.H.H., 1983. Similarity solutions of the boundary layer equations for a stretching wall. J. Mech. Theor. Appl. 2, 375-392.
    • (1983) J. Mech. Theor. Appl. , vol.2 , pp. 375-392
    • Banks, W.H.H.1
  • 5
    • 0001100804 scopus 로고    scopus 로고
    • Padé approximant algorithm for solving nonlinear ordinary differential equation boundary value problems on an unbounded domain
    • Boyd, J.P., 1997. Padé approximant algorithm for solving nonlinear ordinary differential equation boundary value problems on an unbounded domain. Comput. Phys. 11, 299-303.
    • (1997) Comput. Phys. , vol.11 , pp. 299-303
    • Boyd, J.P.1
  • 6
    • 33646099212 scopus 로고
    • Flow past a stretching plate
    • Crane, L., 1970. Flow past a stretching plate. Z. Angew. Mater. Phys. 21, 645-647.
    • (1970) Z. Angew. Mater. Phys. , vol.21 , pp. 645-647
    • Crane, L.1
  • 7
    • 67651085330 scopus 로고    scopus 로고
    • Boundary layer convective heat transfer with pressure gradient using homotopy perturbation method (HPM) over a flat plate
    • Fathizadeh, M., Rashidi, F., 2009. Boundary layer convective heat transfer with pressure gradient using homotopy perturbation method (HPM) over a flat plate. Chaos, Solitons and Fractals 42, 2413-2419.
    • (2009) Chaos, Solitons and Fractals , vol.42 , pp. 2413-2419
    • Fathizadeh, M.1    Rashidi, F.2
  • 8
    • 79951853475 scopus 로고    scopus 로고
    • An application of homotopy perturbation method for nonlinear Blasius equation to boundary layer flow over a flat plate
    • Ganji, D.D., Babazadeh, H., Noori, F., Pirouz, M.M., Janipour, M., 2009. An application of homotopy perturbation method for nonlinear Blasius equation to boundary layer flow over a flat plate. Int. J. Nonlinear Sci. 7 (4), 399-404.
    • (2009) Int. J. Nonlinear Sci. , vol.7 , Issue.4 , pp. 399-404
    • Ganji, D.D.1    Babazadeh, H.2    Noori, F.3    Pirouz, M.M.4    Janipour, M.5
  • 9
    • 0037431567 scopus 로고    scopus 로고
    • A simple perturbation approach to Blasius equation
    • He, J.H., 2003. A simple perturbation approach to Blasius equation. Appl. Math. Comput. 140, 217-222.
    • (2003) Appl. Math. Comput. , vol.140 , pp. 217-222
    • He, J.H.1
  • 10
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equation
    • He, J.H., 2006. Some asymptotic methods for strongly nonlinear equation. Int. J. Mod. Phys. B 20 (10), 1141-1199.
    • (2006) Int. J. Mod. Phys. B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 11
    • 74449084990 scopus 로고    scopus 로고
    • The variational iteration method which should be followed
    • He, J.H., Wu, G.C., Austin, F., 2010. The variational iteration method which should be followed. Nonlin. Sci. Lett. A 1 (1), 1-30.
    • (2010) Nonlin. Sci. Lett. A , vol.1 , Issue.1 , pp. 1-30
    • He, J.H.1    Wu, G.C.2    Austin, F.3
  • 12
    • 77950427865 scopus 로고    scopus 로고
    • Reconstruction of variational iteration algorithm using the Laplace transform
    • Hesameddini, E., Latifzadeh, H., 2009. Reconstruction of variational iteration algorithm using the Laplace transform. Int. J. Nonlin. Sci. Num. Simul. 10 (11-12), 1377-1382.
    • (2009) Int. J. Nonlin. Sci. Num. Simul. , vol.10 , Issue.11-12 , pp. 1377-1382
    • Hesameddini, E.1    Latifzadeh, H.2
  • 14
    • 79951850451 scopus 로고    scopus 로고
    • Numerical Solution of logistic differential equations by using the Laplace decomposition method
    • Islam, S., Khan, Y., Faraz, N., Austin, F., 2010. Numerical Solution of logistic differential equations by using the Laplace decomposition method. World Appl. Sci. J. 8 (9), 1100-1105.
    • (2010) World Appl. Sci. J. , vol.8 , Issue.9 , pp. 1100-1105
    • Islam, S.1    Khan, Y.2    Faraz, N.3    Austin, F.4
  • 15
    • 77950456001 scopus 로고    scopus 로고
    • An effective modification of the Laplace decomposition method for nonlinear equations
    • Khan, Yasir, 2009. An effective modification of the Laplace decomposition method for nonlinear equations. Int. J. Nonlin. Sci. Num. Simul. 10 (11-12), 1373-1376.
    • (2009) Int. J. Nonlin. Sci. Num. Simul. , vol.10 , Issue.11-12 , pp. 1373-1376
    • Khan, Y.1
  • 16
    • 79951850076 scopus 로고    scopus 로고
    • A new approach to differential difference equations
    • Khan, Yasir, Faraz, Naeem, 2010. A new approach to differential difference equations. J. Adv. Res. Differ. Eqn. 2 (2), 1-12.
    • (2010) J. Adv. Res. Differ. Eqn. , vol.2 , Issue.2 , pp. 1-12
    • Khan, Y.1    Faraz, N.2
  • 17
    • 33744989624 scopus 로고    scopus 로고
    • A Laplace decomposition algorithm applied to a class of nonlinear differential equations
    • Khuri, S.A., 2001. A Laplace decomposition algorithm applied to a class of nonlinear differential equations. J. Appl. Math. 1 (4), 141-155.
    • (2001) J. Appl. Math. , vol.1 , Issue.4 , pp. 141-155
    • Khuri, S.A.1
  • 18
    • 0019360479 scopus 로고
    • On boundary layers in fluid mechanics that decay algebraically along stretches of walls that are not infinitesimally small
    • Kuiken, H.K., 1981. On boundary layers in fluid mechanics that decay algebraically along stretches of walls that are not infinitesimally small. IMA J. Appl. Math. 27, 387-405.
    • (1981) IMA J. Appl. Math. , vol.27 , pp. 387-405
    • Kuiken, H.K.1
  • 19
    • 79951684448 scopus 로고    scopus 로고
    • Homotopy perturbation algorithm using Laplace transformation
    • Madani, M., Fathizadeh, M., 2010. Homotopy perturbation algorithm using Laplace transformation. Nonlin. Sci. Lett. A 1 (3), 263-267.
    • (2010) Nonlin. Sci. Lett. A , vol.1 , Issue.3 , pp. 263-267
    • Madani, M.1    Fathizadeh, M.2
  • 20
    • 0033750936 scopus 로고    scopus 로고
    • Exact solutions for self-similar boundary-layer flows induced by permeable stretching walls
    • Magyari, J.E., Keller, B., 2000. Exact solutions for self-similar boundary-layer flows induced by permeable stretching walls. Eur. J. Mech. B - Fluids 19, 109-122.
    • (2000) Eur. J. Mech. B - Fluids , vol.19 , pp. 109-122
    • Magyari, J.E.1    Keller, B.2
  • 21
    • 0242338426 scopus 로고    scopus 로고
    • New analytical solutions of wellknown boundary value problem in fluid mechanics
    • Magyari, E., Pop, I., Keller, B., 2003. New analytical solutions of wellknown boundary value problem in fluid mechanics. Fluid Dyn. Res. 33, 313-317.
    • (2003) Fluid Dyn. Res. , vol.33 , pp. 313-317
    • Magyari, E.1    Pop, I.2    Keller, B.3
  • 22
    • 77954349361 scopus 로고    scopus 로고
    • Travelling wave solutions of Whitham-Broer-Kaup equations by homotopy perturbation method
    • Mohyud-Din, S.T., Yildirim, A., Demirli, G., 2010. Travelling wave solutions of Whitham-Broer-Kaup equations by homotopy perturbation method. J. King Saud Univ. (Science) 22, 173-176.
    • (2010) J. King Saud Univ. (Science) , vol.22 , pp. 173-176
    • Mohyud-Din, S.T.1    Yildirim, A.2    Demirli, G.3
  • 25
    • 79951854639 scopus 로고    scopus 로고
    • Modified variational iteration for a boundary layer problem in unbounded domain
    • Noor, M.A., Mohyud-Din, S.T., 2009. Modified variational iteration for a boundary layer problem in unbounded domain. Int. J. Nonlin. Sci. 7 (4), 426-430.
    • (2009) Int. J. Nonlin. Sci. , vol.7 , Issue.4 , pp. 426-430
    • Noor, M.A.1    Mohyud-Din, S.T.2
  • 26
    • 70149090125 scopus 로고    scopus 로고
    • The modified differential transforms method for solving MHD boundary-layer equations
    • Rashidi, M.M., 2009. The modified differential transforms method for solving MHD boundary-layer equations. Comput. Phys. Commun. 180, 2210-2217.
    • (2009) Comput. Phys. Commun. , vol.180 , pp. 2210-2217
    • Rashidi, M.M.1
  • 27
    • 84984085449 scopus 로고
    • Boundary-layer behavior on continuous solid surfaces
    • Sakiadis, B.C., 1961a. Boundary-layer behavior on continuous solid surfaces. AIChE J. 7, 26-28.
    • (1961) AIChE J , vol.7 , pp. 26-28
    • Sakiadis, B.C.1
  • 28
    • 84984087948 scopus 로고
    • Boundary layer behaviour on continuous solid surface II: boundary layer on a continuous flat surface
    • Sakiadis, B.C., 1961b. Boundary layer behaviour on continuous solid surface II: boundary layer on a continuous flat surface. AIChE. J. 7, 221-225.
    • (1961) AIChE. J. , vol.7 , pp. 221-225
    • Sakiadis, B.C.1
  • 29
    • 0009662840 scopus 로고    scopus 로고
    • A study on a boundary - layer equation arising in an incompressible fluid
    • Wazwaz, A.M., 1997. A study on a boundary - layer equation arising in an incompressible fluid. Appl. Math. Comput. 87, 199-204.
    • (1997) Appl. Math. Comput. , vol.87 , pp. 199-204
    • Wazwaz, A.M.1
  • 30
    • 33744969616 scopus 로고    scopus 로고
    • The modified decomposition method and Padé approximants for a boundary layer equation in unbounded domain
    • Wazwaz, A.M., 2006. The modified decomposition method and Padé approximants for a boundary layer equation in unbounded domain. Appl. Math. Comput. 177, 737-744.
    • (2006) Appl. Math. Comput. , vol.177 , pp. 737-744
    • Wazwaz, A.M.1
  • 31
    • 34247608235 scopus 로고    scopus 로고
    • The variational iterative method for solving two forms of Blasius equation on a half-infinite domain
    • Wazwaz, A.M., 2007. The variational iterative method for solving two forms of Blasius equation on a half-infinite domain. Appl. Math. Comput. 188, 485-491.
    • (2007) Appl. Math. Comput. , vol.188 , pp. 485-491
    • Wazwaz, A.M.1
  • 32
    • 77949914440 scopus 로고    scopus 로고
    • The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations
    • Wazwaz, A.M., 2010. The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations. Appl. Math. Comput. 216, 1304-1309.
    • (2010) Appl. Math. Comput. , vol.216 , pp. 1304-1309
    • Wazwaz, A.M.1
  • 33
    • 34748871953 scopus 로고    scopus 로고
    • He's homotopy perturbation method for a boundary layer equation in unbounded domain
    • Xu, L., 2007. He's homotopy perturbation method for a boundary layer equation in unbounded domain. Comput. Math. Appl. 54, 1067-1070.
    • (2007) Comput. Math. Appl. , vol.54 , pp. 1067-1070
    • Xu, L.1
  • 34
    • 79251619563 scopus 로고    scopus 로고
    • Analytical approach to Fokker-Planck equation with space-and time-fractional derivatives by means of the homotopy perturbation method
    • Yildirim, A., 2010. Analytical approach to Fokker-Planck equation with space-and time-fractional derivatives by means of the homotopy perturbation method. J. King Saud Univ. (Science) 22, 257-264.
    • (2010) J. King Saud Univ. (Science) , vol.22 , pp. 257-264
    • Yildirim, A.1
  • 35
    • 33744969617 scopus 로고    scopus 로고
    • Numerical solution of Duffing equation by the Laplace decomposition algorithm
    • Yusufoglu, E., 2006. Numerical solution of Duffing equation by the Laplace decomposition algorithm. Appl. Math. Comput. 177, 572-580.
    • (2006) Appl. Math. Comput. , vol.177 , pp. 572-580
    • Yusufoglu, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.