메뉴 건너뛰기




Volumn 14, Issue 12, 2011, Pages 1125-1135

New analytical solution of stagnation point flow in a porous medium

Author keywords

Differential transform method; Nonlinear differential equations; Pad approximant; Porous medium; Stagnation point flow

Indexed keywords

APPROXIMANTS; DIFFERENTIAL TRANSFORM METHOD; NONLINEAR DIFFERENTIAL EQUATION; POROUS MEDIUM; STAGNATION-POINT FLOW;

EID: 84855766634     PISSN: 1091028X     EISSN: None     Source Type: Journal    
DOI: 10.1615/JPorMedia.v14.i12.70     Document Type: Article
Times cited : (11)

References (37)
  • 1
    • 0037170713 scopus 로고    scopus 로고
    • On solving some eigenvalue problems by using a differential transformation
    • DOI 10.1016/S0096-3003(00)00123-5, PII S0096300300001235
    • Abdel-Halim Hassan, I. H., On solving some eigenvalue problems by using a differential transformation, Appl. Math. Comput., vol. 127, pp. 1-22, 2002. (Pubitemid 34116067)
    • (2002) Applied Mathematics and Computation , vol.127 , Issue.1 , pp. 1-22
    • Abdel-Halim Hassan, I.H.1
  • 2
    • 35348853810 scopus 로고    scopus 로고
    • Comparison differential transformation technique with Adomian decomposition method for linear and nonlinear initial value problems
    • DOI 10.1016/j.chaos.2006.06.040, PII S0960077906005790
    • Abdel-Halim Hassan, I. H., Comparison differential transformation technique with Adomian decomposition method for linear and nonlinear initial value problems, Chaos, Solitons Fractals, vol. 36, pp. 53-65, 2008. (Pubitemid 47576633)
    • (2008) Chaos, Solitons and Fractals , vol.36 , Issue.1 , pp. 53-65
    • Abdel-Halim Hassan, I.H.1
  • 3
    • 33749517865 scopus 로고    scopus 로고
    • Solution of differential-difference equations by using differential transform method
    • Arikoglu, A. and Ozkol, I., Solution of differential-difference equations by using differential transform method, Appl. Math. Comput., vol. 181, pp. 154, 2006.
    • (2006) Appl. Math. Comput. , vol.181 , pp. 154
    • Arikoglu, A.1    Ozkol, I.2
  • 4
    • 0141961581 scopus 로고    scopus 로고
    • Solutions of the systems of differential equations by differential transform method
    • Ayaz, F., Solutions of the systems of differential equations by differential transform method, Appl. Math. Comput., vol. 147, pp. 547-567, 2004.
    • (2004) Appl. Math. Comput. , vol.147 , pp. 547-567
    • Ayaz, F.1
  • 6
    • 0037448167 scopus 로고    scopus 로고
    • Solution of a system of Volterra integral equations of the first kind by Adomian method
    • Biazar, J., Babolian, E., and Islam, R., Solution of a system of Volterra integral equations of the first kind by Adomian method, Appl. Math. Comput., vol. 139, pp. 249-258, 2003.
    • (2003) Appl. Math. Comput. , vol.139 , pp. 249-258
    • Biazar, J.1    Babolian, E.2    Islam, R.3
  • 7
    • 62949185788 scopus 로고    scopus 로고
    • He's homotopy perturbation method for systems of integro-differential equations
    • Biazar, J., Ghazvini, H., and Eslami, M., He's homotopy perturbation method for systems of integro-differential equations, Chaos, Solitons Fractals, vol. 39, pp. 1253-1258, 2007.
    • (2007) Chaos, Solitons Fractals , vol.39 , pp. 1253-1258
    • Biazar, J.1    Ghazvini, H.2    Eslami, M.3
  • 8
    • 0006035689 scopus 로고    scopus 로고
    • Solving partial differential equations by two-dimensional differential transform method
    • Chen, C. K. and Ho, S. H., Solving partial differential equations by two-dimensional differential transform method, Appl. Math. Comput., vol. 106, pp. 171-179, 1999.
    • (1999) Appl. Math. Comput. , vol.106 , pp. 171-179
    • Chen, C.K.1    Ho, S.H.2
  • 9
    • 0017493606 scopus 로고
    • Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike
    • Cheng, P., Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike, J. Geophys. Res., vol. 82, pp. 2040-2044, 1977.
    • (1977) J. Geophys. Res. , vol.82 , pp. 2040-2044
    • Cheng, P.1
  • 10
    • 77950916952 scopus 로고    scopus 로고
    • A reliable treatment of homotopy analysis method for two-dimensional viscous flow in a rectangular domain bounded by two moving porous walls
    • Dinarvand, S. and Rashidi, M. M., A reliable treatment of homotopy analysis method for two-dimensional viscous flow in a rectangular domain bounded by two moving porous walls, Nonlinear Anal.: Real World Appl., vol. 11, pp. 1502-1512, 2010.
    • (2010) Nonlinear Anal.: Real World Appl. , vol.11 , pp. 1502-1512
    • Dinarvand, S.1    Rashidi, M.M.2
  • 11
    • 70449658049 scopus 로고    scopus 로고
    • Series solutions for unsteady laminar MHD flow near forward stagnation point of an impulsively rotating and translating sphere in presence of buoyancy forces
    • Dinarvand, S., Doosthoseini, A., Doosthoseini, E., and Rashidi, M. M., Series solutions for unsteady laminar MHD flow near forward stagnation point of an impulsively rotating and translating sphere in presence of buoyancy forces, Nonlinear Anal.: Real World Appl., vol. 11, pp. 1159-1169, 2009.
    • (2009) Nonlinear Anal.: Real World Appl. , vol.11 , pp. 1159-1169
    • Dinarvand, S.1    Doosthoseini, A.2    Doosthoseini, E.3    Rashidi, M.M.4
  • 12
    • 0017950499 scopus 로고
    • Influence of the Prandtl number on second-order heat transfer due to surface curvature at a three-dimensional stagnation point
    • Gersten, K., Papenfuss, H. D., and Gross, J. F., Influence of the Prandtl number on second-order heat transfer due to surface curvature at a three-dimensional stagnation point, Int. J. Heat Mass Transfer, vol. 21, pp. 275-284, 1978.
    • (1978) Int. J. Heat Mass Transfer , vol.21 , pp. 275-284
    • Gersten, K.1    Papenfuss, H.D.2    Gross, J.F.3
  • 14
    • 84958735159 scopus 로고
    • On an equation occurring in Falkner-Skan approximate treatment of the equations of the boundary layer
    • Hartree, D. R., On an equation occurring in Falkner-Skan approximate treatment of the equations of the boundary layer, Proc. Cambridge Philos. Soc., vol. 33, pp. 223-239, 1937.
    • (1937) Proc. Cambridge Philos. Soc. , vol.33 , pp. 223-239
    • Hartree, D.R.1
  • 15
    • 0000960029 scopus 로고
    • Die grenzschicht an einem in den gleichförmigen flü essigkeitsstrom eingetauchten geraden kreiszylinder
    • Hiemenz, K., Die grenzschicht an einem in den gleichförmigen flüessigkeitsstrom eingetauchten geraden kreiszylinder, Dinglers Polytech., vol. 8, pp. 215-220, 1911.
    • (1911) Dinglers Polytech. , vol.8 , pp. 215-220
    • Hiemenz, K.1
  • 16
    • 77956727291 scopus 로고
    • Die einfluss grosse žhigkeit bei der strömung um der zylinder und um die kugel
    • Homann, F., Die Einfluss grosse Žhigkeit bei der Strömung um der Zylinder und um die Kugel, J. Appl. Math. (ZAMM), vol. 16, pp. 153-164, 1936.
    • (1936) J. Appl. Math. (ZAMM) , vol.16 , pp. 153-164
    • Homann, F.1
  • 17
    • 0001040955 scopus 로고
    • On the solution of the laminar boundary layer equations
    • Howarth, L., On the solution of the laminar boundary layer equations, Proc. R. Soc. London, Ser. A, vol. 164, pp. 547-579, 1938.
    • (1938) Proc. R. Soc. London, Ser. A , vol.164 , pp. 547-579
    • Howarth, L.1
  • 19
    • 0020332323 scopus 로고
    • Non-linear equation governing flow in a saturated porous medium
    • Joseph, D. D., Nield, D. A., and Papanicolaou, G., Non-linear equation governing flow in a saturated porous medium, Water Resour. Res., vol. 18, pp. 1049-1052, 1982.
    • (1982) Water Resour. Res. , vol.18 , pp. 1049-1052
    • Joseph, D.D.1    Nield, D.A.2    Papanicolaou, G.3
  • 20
    • 0032640240 scopus 로고    scopus 로고
    • A uniformly valid analytic solution of twodimensional viscous flow over a semi-infinite flat plate
    • Liao, S. J., A uniformly valid analytic solution of twodimensional viscous flow over a semi-infinite flat plate, J. Fluid Mech., vol. 385, pp. 101-128, 1999.
    • (1999) J. Fluid Mech. , vol.385 , pp. 101-128
    • Liao, S.J.1
  • 21
    • 84944496471 scopus 로고
    • Onset of thermohaline convection in a porous medium
    • Nield, D. A., Onset of thermohaline convection in a porous medium, Water Resour., vol. 4, pp. 553-560, 1968.
    • (1968) Water Resour. , vol.4 , pp. 553-560
    • Nield, D.A.1
  • 24
    • 70449669063 scopus 로고    scopus 로고
    • Differential transform method for MHD boundary-layer equations: Combination of the DTM and the Padé approximant
    • Rashidi, M. M., Differential Transform method for MHD boundary-layer equations: Combination of the DTM and the Padé approximant, Proc. of International Conference on Applied Physics and Mathematics, 2009b.
    • (2009) Proc. of International Conference on Applied Physics and Mathematics
    • Rashidi, M.M.1
  • 25
    • 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., vol. 10, pp. 2346-2356, 2009.
    • (2009) Nonlinear Anal.: Real World Appl. , vol.10 , pp. 2346-2356
    • Rashidi, M.M.1    Dinarvand, S.2
  • 26
    • 68849095784 scopus 로고    scopus 로고
    • New analytical method for solving Burgers' and nonlinear heat transfer equations and comparison with HAM
    • Rashidi, M. M. and Erfani, E., New analytical method for solving Burgers' and nonlinear heat transfer equations and comparison with HAM, Comput. Phys. Commun., vol. 180, pp. 1539-1544, 2009a.
    • (2009) Comput. Phys. Commun. , vol.180 , pp. 1539-1544
    • Rashidi, M.M.1    Erfani, E.2
  • 27
    • 70449625702 scopus 로고    scopus 로고
    • A novel analytical solution of the thermal boundary-layer over a flat plate with a convective surface boundary condition using DTM-Padé
    • Rashidi, M. M. and Erfani, E., A novel analytical solution of the thermal boundary-layer over a flat plate with a convective surface boundary condition using DTM-Padé, Proc. of International Conference on Applied Physics and Mathematics, 2009b.
    • (2009) Proc. of International Conference on Applied Physics and Mathematics
    • Rashidi, M.M.1    Erfani, E.2
  • 28
    • 59849123041 scopus 로고    scopus 로고
    • Analytical solution of three-dimensional Navier-Stokes equations for the flow near an infinite rotating disk
    • Rashidi, M. M. and Shahmohamadi, H., Analytical solution of three-dimensional Navier-Stokes equations for the flow near an infinite rotating disk, Commun. Nonlinear Numer. Simul., vol. 14, pp. 2999-3006, 2009.
    • (2009) Commun. Nonlinear Numer. Simul. , vol.14 , pp. 2999-3006
    • Rashidi, M.M.1    Shahmohamadi, H.2
  • 29
    • 50249117853 scopus 로고    scopus 로고
    • Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method
    • Rashidi, M. M., Domairry, G., and Dinarvand, S., Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method, Commun. Nonlinear Numer. Simul., vol. 14, pp. 708-717, 2009.
    • (2009) Commun. Nonlinear Numer. Simul. , vol.14 , pp. 708-717
    • Rashidi, M.M.1    Domairry, G.2    Dinarvand, S.3
  • 30
    • 10644283777 scopus 로고    scopus 로고
    • Restarted adomian method for system of nonlinear volterra integral equations
    • Sadeghi Goghary, H., Javadi, Sh., and Babolian, E., Restarted Adomian method for system of nonlinear Volterra integral equations, Appl. Math. Comput., vol. 161, pp. 745-751, 2005.
    • (2005) Appl. Math. Comput. , vol.161 , pp. 745-751
    • Sadeghi Goghary, H.1    Javadi, Sh.2    Babolian, E.3
  • 32
    • 84935573705 scopus 로고
    • Further solutions of the Falkner-Skan equation
    • Stewartson, K., Further solutions of the Falkner-Skan equation, Proc. Cambridge Philos. Soc., vol. 50, pp. 454-465, 1954.
    • (1954) Proc. Cambridge Philos. Soc. , vol.50 , pp. 454-465
    • Stewartson, K.1
  • 33
    • 34447254290 scopus 로고    scopus 로고
    • Variational iteration method for solving integro-differential equations
    • Wang, S. Q. and He, J. H., Variational iteration method for solving integro-differential equations, J. Phys., vol. 367, pp. 188-191, 2007.
    • (2007) J. Phys. , vol.367 , pp. 188-191
    • Wang, S.Q.1    He, J.H.2
  • 34
    • 10244260308 scopus 로고    scopus 로고
    • Stagnation-point flows in a porous medium
    • DOI 10.1016/j.ces.2004.07.062, PII S0009250904005056
    • Wu, Q., Weinbaum, S., and Andreopoulus, Y., Stagnation-point flows in a porous medium, Chem. Eng. Sci., vol. 60, pp. 123-134, 2005. (Pubitemid 39622611)
    • (2005) Chemical Engineering Science , vol.60 , Issue.1 , pp. 123-134
    • Wu, Q.1    Weinbaum, S.2    Andreopoulos, Y.3
  • 35
    • 33845888812 scopus 로고    scopus 로고
    • The velocity and shear stress functions of the Falkner-Skan equation arising in boundary layer theory
    • Yang, G. C. and Lan, K. Q., The velocity and shear stress functions of the Falkner-Skan equation arising in boundary layer theory, J. Math. Anal. Appl., vol. 328, pp. 1297-1308, 2007.
    • (2007) J. Math. Anal. Appl. , vol.328 , pp. 1297-1308
    • Yang, G.C.1    Lan, K.Q.2
  • 36
    • 34548459893 scopus 로고    scopus 로고
    • An efficient algorithm for solving integro-differential equations system
    • Agadjanov
    • Yusufoglu (Agadjanov), E., An efficient algorithm for solving integro-differential equations system, Appl. Math. Comput., vol. 192, pp. 51-55, 2007.
    • (2007) Appl. Math. Comput. , vol.192 , pp. 51-55
    • Yusufoglu, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.