메뉴 건너뛰기




Volumn 11, Issue 12, 2010, Pages 1145-1153

Homotopy perturbation method for nonlinear exponential boundary layer equation using Laplace transformation, He's polynomials and padé technology He's polynomials and padé technology

Author keywords

Approximants; Exponential boundary layer equation; He's polynomials; Homotopy perturbation method; Laplace transformation; Pad ; Series solution

Indexed keywords


EID: 79951685762     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (46)

References (41)
  • 1
    • 84984085449 scopus 로고
    • Boundary-layer behavior on continuous solid surfaces
    • B.C. Sakiadis, Boundary-layer behavior on continuous solid surfaces. AIChE J. 7 (1961) 26-28.
    • (1961) AIChE J. , vol.7 , pp. 26-28
    • Sakiadis, B.C.1
  • 2
    • 84984087948 scopus 로고
    • Boundary layer behaviour on continuous solid surface II: Boundary layer on a continuous flat surface
    • B.C. Sakiadis, Boundary layer behaviour on continuous solid surface II: Boundary layer on a continuous flat surface. AIChE J. 7 (1961) 221-225.
    • (1961) AIChE J. , vol.7 , pp. 221-225
    • Sakiadis, B.C.1
  • 3
    • 33646099212 scopus 로고
    • Flow past a stretching plate
    • L. Crane, Flow past a stretching plate. Z. Angew. Mater. Phys. 21(1970) 640-647.
    • (1970) Z. Angew. Mater. Phys. , vol.21 , pp. 640-647
    • Crane, L.1
  • 4
    • 0020881905 scopus 로고
    • Similarity solutions of the boundary layer equations for a stretching wall
    • W. H. H. Banks, Similarity solutions of the boundary layer equations for a stretching wall. J. Mech. Theor. Appl. 2(1983) 375-392.
    • (1983) J. Mech. Theor. Appl. , vol.2 , pp. 375-392
    • Banks, W.H.H.1
  • 5
    • 78149479776 scopus 로고    scopus 로고
    • Explicit Solution of Axisymmetric Stagnation Flow towards a Shrinking Sheet by DTM-Padé
    • M. M. Rashidi, Explicit Solution of Axisymmetric Stagnation Flow towards a Shrinking Sheet by DTM-Padé, Appl. Math. Sci. 4(2010) 2617-2632.
    • (2010) Appl. Math. Sci. , vol.4 , pp. 2617-2632
    • Rashidi, M.M.1
  • 6
    • 79951686564 scopus 로고    scopus 로고
    • A novel analytical solution of steady flow over a rotating disk in porous medium with heat transfer by DTM-PADÉ
    • M. M. Rashidi, S. A. M. Pour, A novel analytical solution of steady flow over a rotating disk in porous medium with heat transfer by DTM-PADÉ, J. Math. Comput. Sci. Res. 3(2010) 93-100.
    • (2010) J. Math. Comput. Sci. Res. , vol.3 , pp. 93-100
    • Rashidi, M.M.1    Pour, S.A.M.2
  • 7
    • 79951711724 scopus 로고    scopus 로고
    • Solution of the Laminar Viscous Flow in a Semi-Porous Channel in the Presence of a Uniform Magnetic Field by Using the Differential Transform Method
    • M. M. Rashidi, S. M. Sadri, Solution of the Laminar Viscous Flow in a Semi-Porous Channel in the Presence of a Uniform Magnetic Field by Using the Differential Transform Method, Int. J. Contemp. Math. Sci. 5(2010)711-720.
    • (2010) Int. J. Contemp. Math. Sci. , vol.5 , pp. 711-720
    • Rashidi, M.M.1    Sadri, S.M.2
  • 9
    • 33645877651 scopus 로고    scopus 로고
    • Adomian decomposition method with Chebyshev polynomials
    • M. M. Hosseini, Adomian decomposition method with Chebyshev polynomials, Appl. Math. Comput. 175(2006)1685-1693.
    • (2006) Appl. Math. Comput. , vol.175 , pp. 1685-1693
    • Hosseini, M.M.1
  • 10
    • 12444322046 scopus 로고    scopus 로고
    • Numerical solution of ordinary differential equations with impulse solution
    • M. M. Hosseini, Numerical solution of ordinary differential equations with impulse solution, Appl. Math. Comput. 163 (2005) 373-381
    • (2005) Appl. Math. Comput. , vol.163 , pp. 373-381
    • Hosseini, M.M.1
  • 11
    • 33747368528 scopus 로고    scopus 로고
    • Adomian decomposition method for solution of differential-algebraic equations
    • M. M. Hosseini, Adomian decomposition method for solution of differential-algebraic equations, J. Comput. Appl. Math. 197 (2006) 373-381.
    • (2006) J. Comput. Appl. Math. , vol.197 , pp. 373-381
    • Hosseini, M.M.1
  • 12
    • 33750489413 scopus 로고    scopus 로고
    • Adomian decomposition method for solution of nonlinear differential algebraic equations
    • M. M. Hosseini, Adomian decomposition method for solution of nonlinear differential algebraic equations, Appl. Math. Comput. 181(2006)1737-1744.
    • (2006) Appl. Math. Comput. , vol.181 , pp. 1737-1744
    • Hosseini, M.M.1
  • 13
    • 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. Meth. Appl. Mech. Eng. 167(1998) 57-68.
    • (1998) Comput. Meth. Appl. Mech. Eng. , vol.167 , pp. 57-68
    • He, J.H.1
  • 14
    • 34748870677 scopus 로고    scopus 로고
    • Variational iteration method: New development and applications
    • J. H. He, X.-H.Wu, Variational iteration method: new development and applications, Comput. Math. Appl. 57(2007) 881-894.
    • (2007) Comput. Math. Appl. , vol.57 , pp. 881-894
    • He, J.H.1    Wu, X.-H.2
  • 15
    • 36148932234 scopus 로고    scopus 로고
    • The variational iteration method for eighth-order initial-boundary value problems
    • J. H. He, The variational iteration method for eighth-order initial-boundary value problems, Phy. Scri. 76(2007) 680-682.
    • (2007) Phy. Scri. , vol.76 , pp. 680-682
    • He, J.H.1
  • 16
    • 77649179144 scopus 로고    scopus 로고
    • Variational iteration method for modified Camassa-Holm and DegasperisProcesi equations
    • A.Yildirim, Variational iteration method for modified Camassa-Holm and DegasperisProcesi equations, Int. J. Numer. Meth. Biomed. Eng. 26(2010) 266-272.
    • (2010) Int. J. Numer. Meth. Biomed. Eng. , vol.26 , pp. 266-272
    • Yildirim, A.1
  • 17
    • 70349758590 scopus 로고    scopus 로고
    • Exact solutions of poisson equation for electrostatic potential problems by means of the variational iteration method
    • A.Yildirim, Exact solutions of poisson equation for electrostatic potential problems by means of the variational iteration method, Int. J. Nonlinear. Sci. Numer. Simul. 10 (2009) 867-871.
    • (2009) Int. J. Nonlinear. Sci. Numer. Simul. , vol.10 , pp. 867-871
    • Yildirim, A.1
  • 18
    • 59049085436 scopus 로고    scopus 로고
    • Solutions of singular IVPs of Lane-Emden type by the variational iteration method
    • A. Yildirim, T. Ozis, Solutions of singular IVPs of Lane-Emden type by the variational iteration method, Non. Anal. Theor. Mett. Appl. 70(2009)2480-2484.
    • (2009) Non. Anal. Theor. Mett. Appl. , vol.70 , pp. 2480-2484
    • Yildirim, A.1    Ozis, T.2
  • 19
    • 68849095784 scopus 로고    scopus 로고
    • New analytical method for solving Burgers' and nonlinear heat transfer equations and comparison with HAM
    • M. M. Rashidi, E. Erfani, New analytical method for solving Burgers' and nonlinear heat transfer equations and comparison with HAM, Comput. Phy. Commun. 180(2009) 1539-1544.
    • (2009) Comput. Phy. Commun. , vol.180 , pp. 1539-1544
    • Rashidi, M.M.1    Erfani, E.2
  • 20
    • 59849123041 scopus 로고    scopus 로고
    • Analytical solution of three-dimensional NavierStokes equations for the flow near an infinite rotating disk
    • M. M. Rashidi, H. Shahmohamadi, Analytical solution of three-dimensional NavierStokes equations for the flow near an infinite rotating disk. Commun. Nonlinear. Sci. Numer. Simul. 14(2009)2999-3006.
    • (2009) Commun. Nonlinear. Sci. Numer. Simul. , vol.14 , pp. 2999-3006
    • Rashidi, M.M.1    Shahmohamadi, H.2
  • 21
    • 79951708953 scopus 로고    scopus 로고
    • Analytical approximate solutions for two-dimensional viscous flow through expanding or contracting gaps with permeable walls
    • doi: 10.s11534-009-0024-x
    • M. M. Rashidi, S. Dinarvand, A. Doosthoseini, Analytical approximate solutions for two-dimensional viscous flow through expanding or contracting gaps with permeable walls, Cent. Eur. J. Phys. doi: 10.s11534-009-0024-x
    • Cent. Eur. J. Phys.
    • Rashidi, M.M.1    Dinarvand, S.2    Doosthoseini, A.3
  • 22
    • 78649698628 scopus 로고    scopus 로고
    • A novel analytical solution of heat transfer of a micropolar fluid through a porous medium with radiation by DTM-Padé
    • M. Rashidi, S. A. M. Pour, A novel analytical solution of heat transfer of a micropolar fluid through a porous medium with radiation by DTM-Padé, Heat Trans. Asian Res. 39(2010)575-589.
    • (2010) Heat Trans. Asian Res. , vol.39 , pp. 575-589
    • Rashidi, M.1    Pour, S.A.M.2
  • 23
    • 0032672778 scopus 로고    scopus 로고
    • Homotopy perturbation technique
    • J. H. He, Homotopy perturbation technique, Comput. Meth. Appl. Mech. Eng. 178(1999) 257-262.
    • (1999) Comput. Meth. Appl. Mech. Eng. , vol.178 , pp. 257-262
    • He, J.H.1
  • 24
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of a homotopy technique and a perturbation technique for non-linear problems
    • J. H. He, A coupling method of a homotopy technique and a perturbation technique for non-linear problems, Int. J. Nonlinear. Mech. 35(2000) 37-43.
    • (2000) Int. J. Nonlinear. Mech. , vol.35 , pp. 37-43
    • He, J.H.1
  • 25
    • 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. Meth. Appl. Mech. Eng. 167(1998) 69-73.
    • (1998) Comput. Meth. Appl. Mech. Eng. , vol.167 , pp. 69-73
    • He, J.H.1
  • 26
    • 79951706118 scopus 로고    scopus 로고
    • Application of modified variational iteration method to the bratu-type problems
    • L. Jin, Application of Modified Variational Iteration Method to the Bratu-Type Problems, Int. J. Contemp. Math. Sci. 5(2010) 153-158.
    • (2010) Int. J. Contemp. Math. Sci. , vol.5 , pp. 153-158
    • Jin, L.1
  • 27
    • 34748866545 scopus 로고    scopus 로고
    • Modified variational iteration method for Boussinesq equation
    • T. A. Abassy, Magdy A. El-Tawil, H. ElZoheiry, Modified variational iteration method for Boussinesq equation, Comput. Math. Appl. 54 (2007) 955-965.
    • (2007) Comput. Math. Appl. , vol.54 , pp. 955-965
    • Abassy, T.A.1    Magdy, A.2    ElZoheiry, E.H.3
  • 28
    • 77957911214 scopus 로고    scopus 로고
    • A modified variational iteration method for solving Riccati differential equations
    • F. Geng, A modified variational iteration method for solving Riccati differential equations, Comput. Math. Appl. 60 (2010) 1868-1872.
    • (2010) Comput. Math. Appl. , vol.60 , pp. 1868-1872
    • Geng, F.1
  • 29
    • 34748871953 scopus 로고    scopus 로고
    • He's homotopy perturbation method for a boundary layer equation in unbounded domain
    • DOI 10.1016/j.camwa.2006.12.052, PII S0898122107002787, Variational Iteration Method for Nonlinear Problems
    • L. Xu, He's homotopy perturbation method for a boundary layer equation in unbounded domain, Comput. Math. Appl. 54(2007) 1067-1070. (Pubitemid 47488822)
    • (2007) Computers and Mathematics with Applications , vol.54 , Issue.7-8 , pp. 1067-1070
    • Xu, L.1
  • 30
    • 77953131633 scopus 로고    scopus 로고
    • The application of homotopy perturbation method for MHD flows of UCM fluids above porous stretching sheets
    • B. Raftari, A. Yildirim, The application of homotopy perturbation method for MHD flows of UCM fluids above porous stretching sheets, Comput. Math. Appl. 59(2010)3328-3337.
    • (2010) Comput. Math. Appl. , vol.59 , pp. 3328-3337
    • Raftari, B.1    Yildirim, A.2
  • 31
    • 78649989654 scopus 로고    scopus 로고
    • Homotopy perturbation combined with padé aproximation for solving two dimensional viscous flow in the extrusion process
    • M. M. Rashidi, D. D. Ganji, Homotopy Perturbation Combined with Padé Approximation for Solving Two Dimensional Viscous Flow in the Extrusion Process, Int. J. Nonlinear. Sci. 7(2009)387-394.
    • (2009) Int. J. Nonlinear. Sci. , vol.7 , pp. 387-394
    • Rashidi, M.M.1    Ganji, D.D.2
  • 32
    • 79951686394 scopus 로고    scopus 로고
    • Application of Laplace decomposition method on semi infinite domain
    • doi: 10.1007/s11075-101-9382-0.
    • M. Khan, M. Hussain. Application of Laplace decomposition method on semi infinite domain, Numer. Algor, doi: 10.1007/s11075-101-9382-0.
    • Numer. Algor
    • Khan, M.1    Hussain, M.2
  • 33
    • 79951686744 scopus 로고    scopus 로고
    • New modified Laplace decomposition algorithm for Blasius flow equation
    • M. Khan, M. A. Gondal, New modified Laplace decomposition algorithm for Blasius flow equation, J. Adv. Res. Sci. Comput. 2(2010)35-43.
    • (2010) J. Adv. Res. Sci. Comput. , vol.2 , pp. 35-43
    • Khan, M.1    Gondal, M.A.2
  • 34
    • 79951707467 scopus 로고    scopus 로고
    • A new analytical solution of foam drainage equation by Laplace decomposition method
    • M. Khan, M. A. Gondal, A new analytical solution of foam drainage equation by Laplace decomposition method, J. Adv. Res. Differ. Eqs. 2(2010) 53-64.
    • (2010) J. Adv. Res. Differ. Eqs. , vol.2 , pp. 53-64
    • Khan, M.1    Gondal, M.A.2
  • 35
    • 79951687320 scopus 로고    scopus 로고
    • Application of Laplace decomposition method to solve systems of nonlinear coupled partial differential equations
    • M. Khan, M. A. Gondal, Application of Laplace decomposition method to solve systems of nonlinear coupled partial differential equations, J. Adv. Res. Sci. Comput. 2(2010) 1-14.
    • (2010) J. Adv. Res. Sci. Comput. , vol.2 , pp. 1-14
    • Khan, M.1    Gondal, M.A.2
  • 36
    • 77950456001 scopus 로고    scopus 로고
    • An effective modification of the Laplace decomposition method for nonlinear equations
    • Y. Khan, An Effective Modification of the Laplace Decomposition Method for Nonlinear Equations. Int. J. Nonlinear. Sci. Numer. Simul. 10(2009) 1373-1376.
    • (2009) Int. J. Nonlinear. Sci. Numer. Simul. , vol.10 , pp. 1373-1376
    • Khan, Y.1
  • 37
    • 77953903021 scopus 로고    scopus 로고
    • Modified laplace decomposition method
    • M. Khan, M. Hussain, Modified Laplace Decomposition Method, Appl. Math. Sci. 4(2010) 1769-1783.
    • (2010) Appl. Math. Sci. , vol.4 , pp. 1769-1783
    • Khan, M.1    Hussain, M.2
  • 38
    • 79651475645 scopus 로고    scopus 로고
    • Homotopy perturbation transform method for nonlinear equations using He's polynomials
    • doi: 10.1016/j.camwa.2010.08.022.
    • Y. Khan, Q. Wu, Homotopy perturbation transform method for nonlinear equations using He's polynomials, Comput. Math. Appl. doi: 10.1016/j.camwa.2010. 08.022.
    • Comput. Math. Appl.
    • Khan, Y.1    Wu, Q.2
  • 39
    • 79951684448 scopus 로고    scopus 로고
    • Homotopy Perturbation Algorithm using Laplace Transformation
    • M. Madani, M. Fathizadeh, Homotopy Perturbation Algorithm using Laplace Transformation, Nonlin. Sci. Lett. A. 1(2010) 263-267.
    • (2010) Nonlin. Sci. Lett. A. , vol.1 , pp. 263-267
    • Madani, M.1    Fathizadeh, M.2
  • 40
    • 62949242120 scopus 로고    scopus 로고
    • Beyond adomian's polynomials: He polynomials
    • A. Ghorbani, Beyond adomian's polynomials: He polynomials, Chaos Sol. Fract. 39(2009) 1486-1492.
    • (2009) Chaos Sol. Fract. , vol.39 , pp. 1486-1492
    • Ghorbani, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.