메뉴 건너뛰기




Volumn 54, Issue 7-8, 2007, Pages 920-925

The three-dimensional flow past a stretching sheet and the homotopy perturbation method

Author keywords

Boundary value problem; Homotopy perturbation method; Stretching sheet; Three dimensional flow

Indexed keywords

APPROXIMATION THEORY; PERTURBATION TECHNIQUES; PROBLEM SOLVING; STATISTICAL METHODS; THREE DIMENSIONAL;

EID: 34748873765     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.12.066     Document Type: Article
Times cited : (180)

References (31)
  • 1
    • 0007140364 scopus 로고    scopus 로고
    • A new approach to nonlinear partial differential equations
    • He J.H. A new approach to nonlinear partial differential equations. Commun. Nonlinear Sci. Numer. Simul. 2 (1997) 230-235
    • (1997) Commun. Nonlinear Sci. Numer. Simul. , vol.2 , pp. 230-235
    • He, J.H.1
  • 2
    • 0003196951 scopus 로고    scopus 로고
    • Newton-like method for solving algebraic equations
    • He J.H. Newton-like method for solving algebraic equations. Commun. Nonlinear Sci. Numer. Simul. 3 (1998) 106-109
    • (1998) Commun. Nonlinear Sci. Numer. Simul. , vol.3 , pp. 106-109
    • He, J.H.1
  • 3
    • 0013403638 scopus 로고    scopus 로고
    • An approximation solution technique depending upon an artificial parameter
    • He J.H. An approximation solution technique depending upon an artificial parameter. Commun. Nonlinear Sci. Numer. Simul. 3 (1998) 92-97
    • (1998) Commun. Nonlinear Sci. Numer. Simul. , vol.3 , pp. 92-97
    • He, J.H.1
  • 5
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of homotopy and perturbation technique for nonlinear problems
    • He J.H. A coupling method of homotopy and perturbation technique for nonlinear problems. Int. J. Nonlinear Mech. 35 (2000) 37-43
    • (2000) Int. J. Nonlinear Mech. , vol.35 , pp. 37-43
    • He, J.H.1
  • 6
    • 0037440579 scopus 로고    scopus 로고
    • Homotopy perturbation method, A new nonlinear analytic technique
    • He J.H. Homotopy perturbation method, A new nonlinear analytic technique. Appl. Math. Comput. 135 (2003) 73-79
    • (2003) Appl. Math. Comput. , vol.135 , pp. 73-79
    • He, J.H.1
  • 7
    • 0037431567 scopus 로고    scopus 로고
    • A simple perturbation approach to Blasius equation
    • He J.H. A simple perturbation approach to Blasius equation. Appl. Math. Comput. 140 (2003) 217-222
    • (2003) Appl. Math. Comput. , vol.140 , pp. 217-222
    • He, J.H.1
  • 8
    • 3943092529 scopus 로고    scopus 로고
    • Comparison of homotopy perturbation and homotopy analysis method
    • He J.H. Comparison of homotopy perturbation and homotopy analysis method. Appl. Math. Comput. 156 (2004) 527-539
    • (2004) Appl. Math. Comput. , vol.156 , pp. 527-539
    • He, J.H.1
  • 9
    • 1242287587 scopus 로고    scopus 로고
    • The homotopy perturbation method for nonlinear oscillators with discontinuities
    • He J.H. The homotopy perturbation method for nonlinear oscillators with discontinuities. Appl. Math. Comput. 151 (2004) 287-292
    • (2004) Appl. Math. Comput. , vol.151 , pp. 287-292
    • He, J.H.1
  • 10
    • 17844387391 scopus 로고    scopus 로고
    • Homotopy perturbation method for bifurcation of nonlinear problems
    • He J.H. 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
  • 11
    • 18844426016 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to nonlinear wave equations
    • He J.H. 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
  • 12
    • 30644460357 scopus 로고    scopus 로고
    • Homotopy perturbation method for solving boundary value problems
    • He J.H. Homotopy perturbation method for solving boundary value problems. Phys. Lett. A 350 (2006) 87-88
    • (2006) Phys. Lett. A , vol.350 , pp. 87-88
    • He, J.H.1
  • 13
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • New interpretation of homotopy perturbation method, Internat. J. Modern Phys. B 20 (2006) 2561-2568
    • He J.H. Some asymptotic methods for strongly nonlinear equations. Internat. J. Modern Phys. B 20 (2006) 1141-1199 New interpretation of homotopy perturbation method, Internat. J. Modern Phys. B 20 (2006) 2561-2568
    • (2006) Internat. J. Modern Phys. B , vol.20 , pp. 1141-1199
    • He, J.H.1
  • 15
    • 33646099212 scopus 로고
    • Flow past a Stretching Sheet
    • Crane L.J. Flow past a Stretching Sheet. ZAMP 21 (1970) 645-647
    • (1970) ZAMP , vol.21 , pp. 645-647
    • Crane, L.J.1
  • 16
    • 84984317575 scopus 로고
    • Heat and mass transfer on a stretching sheet with suction or blowing
    • Gupta P.S., and Gupta A.S. Heat and mass transfer on a stretching sheet with suction or blowing. Can. J. Chem. Eng. 55 (1977) 744-746
    • (1977) Can. J. Chem. Eng. , vol.55 , pp. 744-746
    • Gupta, P.S.1    Gupta, A.S.2
  • 17
    • 0027083722 scopus 로고
    • MHD flow of a viscoelastic fluid past a stretching surface
    • Andersson H.I. MHD flow of a viscoelastic fluid past a stretching surface. Acta Mech. 95 (1992) 227-230
    • (1992) Acta Mech. , vol.95 , pp. 227-230
    • Andersson, H.I.1
  • 19
    • 0001686040 scopus 로고
    • The uniqueness of the flow of a viscoelastic fluid over a stretching sheet
    • Chang W.-D. The uniqueness of the flow of a viscoelastic fluid over a stretching sheet. Quart. Appl. Math. 47 (1989) 365-366
    • (1989) Quart. Appl. Math. , vol.47 , pp. 365-366
    • Chang, W.-D.1
  • 20
    • 0029159149 scopus 로고
    • On the second solution of flow of viscoelastic fluid over a stretching sheet
    • Ariel P.D. On the second solution of flow of viscoelastic fluid over a stretching sheet. Quart. Appl. Math. 53 (1995) 629-632
    • (1995) Quart. Appl. Math. , vol.53 , pp. 629-632
    • Ariel, P.D.1
  • 21
    • 0028083897 scopus 로고
    • MHD flow of a viscoelastic fluid past a stretching sheet with suction
    • Ariel P.D. MHD flow of a viscoelastic fluid past a stretching sheet with suction. Acta Mech. 105 (1994) 49-56
    • (1994) Acta Mech. , vol.105 , pp. 49-56
    • Ariel, P.D.1
  • 22
    • 0037073060 scopus 로고    scopus 로고
    • Flow due to a stretching boundary with partial slip - An exact solution of the Navier-Stokes equations
    • Wang C.Y. Flow due to a stretching boundary with partial slip - An exact solution of the Navier-Stokes equations. Chem. Eng. Sci. 57 (2002) 3745-3747
    • (2002) Chem. Eng. Sci. , vol.57 , pp. 3745-3747
    • Wang, C.Y.1
  • 23
    • 0021480113 scopus 로고
    • The three dimensional flow due to a stretching flat surface
    • Wang C.Y. The three dimensional flow due to a stretching flat surface. Phys. Fluids 27 (1984) 1915-1917
    • (1984) Phys. Fluids , vol.27 , pp. 1915-1917
    • Wang, C.Y.1
  • 24
    • 0027009240 scopus 로고
    • Computation of flow of viscoelastic fluids by parameter differentiation
    • Ariel P.D. Computation of flow of viscoelastic fluids by parameter differentiation. Internat. J. Numer. Methods Fluids 15 (1992) 1295-1312
    • (1992) Internat. J. Numer. Methods Fluids , vol.15 , pp. 1295-1312
    • Ariel, P.D.1
  • 25
    • 0035283910 scopus 로고    scopus 로고
    • Axisymmetric flow of a second grade fluid past a stretching sheet
    • Ariel P.D. Axisymmetric flow of a second grade fluid past a stretching sheet. Internat. J. Engrg. Sci. 39 (2001) 529-553
    • (2001) Internat. J. Engrg. Sci. , vol.39 , pp. 529-553
    • Ariel, P.D.1
  • 26
    • 34748869894 scopus 로고    scopus 로고
    • P.D. Ariel, Computation of MHD flow due to moving boundary, Trinity Western University, Department of Mathematical Sciences Technical Report -MCS-2004-01, 2004
  • 27
    • 84971945587 scopus 로고
    • On the series solution to the laminar boundary layer with stationary origin on a continuous moving porous surface
    • Samuel T.D.M.A., and Hall I.M. On the series solution to the laminar boundary layer with stationary origin on a continuous moving porous surface. Proc. Camb. Phil. Soc. 73 (1973) 223-229
    • (1973) Proc. Camb. Phil. Soc. , vol.73 , pp. 223-229
    • Samuel, T.D.M.A.1    Hall, I.M.2
  • 28
    • 33748924289 scopus 로고    scopus 로고
    • Homotopy perturbation method and axisymmetric flow over a stretching sheet
    • Ariel P.D., Hayat T., and Asghar S. Homotopy perturbation method and axisymmetric flow over a stretching sheet. Int. J. Nonlinear Sci. Numer. Simul. 7 (2006) 399-406
    • (2006) Int. J. Nonlinear Sci. Numer. Simul. , vol.7 , pp. 399-406
    • Ariel, P.D.1    Hayat, T.2    Asghar, S.3
  • 29
    • 0347596619 scopus 로고    scopus 로고
    • Generalized three-dimensional flow due to a stretching sheet
    • Ariel P.D. Generalized three-dimensional flow due to a stretching sheet. ZAMM 83 (2003) 844-852
    • (2003) ZAMM , vol.83 , pp. 844-852
    • Ariel, P.D.1
  • 30
    • 34250281205 scopus 로고
    • A series method for the solution of laminar boundary layers on moving surfaces
    • Ackroyd J.A.D. A series method for the solution of laminar boundary layers on moving surfaces. ZAMP 29 (1978) 729-741
    • (1978) ZAMP , vol.29 , pp. 729-741
    • Ackroyd, J.A.D.1
  • 31
    • 34248186488 scopus 로고    scopus 로고
    • On computation of the three-dimensional flow past a stretching sheet
    • Ariel P.D. On computation of the three-dimensional flow past a stretching sheet. Appl. Math. Comput. 188 (2007) 1244-1250
    • (2007) Appl. Math. Comput. , vol.188 , pp. 1244-1250
    • Ariel, P.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.