Analysis of blasius equation for flat-plate flow with infinite boundary value

International Journal for Computational Methods in Engineering Science and Mechanics

Volumn 11, Issue 2, 2010, Pages 79-84

  Miansari, M O ^a   Miansari, M E ^b   Barari, A ^c   Domairry, G ^a  

^a BABOL NOSHIRVANI UNIVERSITY OF TECHNOLOGY   (Iran)

^b ISLAMIC AZAD UNIVERSITY   (Iran)

^c AALBORG UNIVERSITY   (Denmark)

Author keywords

Blasius equation; Homotopy perturbation method (HPM); Nonlinear differential equation; Ordinary differential equation; State space format

Indexed keywords

EQUATIONS OF STATE; INITIAL VALUE PROBLEMS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES;

BLASIUS EQUATION; CONTINUITY EQUATIONS; HOMOTOPY PERTURBATION METHOD (HPM); LINEAR AND NONLINEAR PROBLEMS; NONLINEAR DIFFERENTIAL EQUATION; NUMERICAL RESULTS; SIMILARITY TRANSFORMATION; UNSTABLE SOLUTIONS;

NONLINEAR EQUATIONS;

EID: 77951176602     PISSN: 15502287     EISSN: 15502295     Source Type: Journal    
DOI: 10.1080/15502280903563541     Document Type: Article

References (31)

1. L. Howarth, On the Solution of the Laminar Boundary Layer Equations. Proc. Roy. Soc. London A, vol.164, pp. 547-579, 1938.
2. R.C. Lock, The Velocity Distribution in the Laminar Boundary Layer between Parallel Streams. Quart. J. Mech. Appl. Math., vol.4, pp. 42-63, 1951.
3. R.C. Lock, Hydrodynamic Stability of the Flow in the Laminar Boundary Layer between Parallel Streams. Proc. Cambridge Phil. Soc., vol.50, pp. 105-124, 1954.
4. O.E. Potter, Mass Transfer between Co-current Fluid Streams and Boundary Layer Solutions. Chem. Eng. Sci., vol.6, pp. 170-182, 1957.
5. A.M.M. Abussita, A Note on a Certain Boundary-layer Equation. Appl. Math. Comput., vol.64, pp. 73-77, 1994.
6. A. Asaithambi, A Finite-difference Method for the Falkner-Skan Equation. Appl. Math. Comput., vol.92, pp. 135-141, 1998.
7. L. Wang, A New Algorithm for Solving Classical Blasius Equation. Appl. Math. Comput., vol.157, pp. 1-9, 2004.
8. J.H. He, Some Asymptotic Methods for Strongly Nonlinear Equations. Int. J. Mod. Phys. B, vol.20(10), pp. 1141-1199, 2006. (Pubitemid 43599585)
9. J.H. He, Homotopy PerturbationMethod for Solving Boundary Value Problems. Phys. Lett. A, vol.350(1-2), p. 87-88, 2006.
10. J.H. He, Application of Homotopy PerturbationMethod to NonlinearWave Equations. Chaos Solitons Fractals, vol.26(3), p. 695-700, 2005. (Pubitemid 40682499)
11. J.H. He, Homotopy Perturbation Technique. J. Comput.Meth. Appl.Mech. Eng., vol.178, p. 257-262, 1999.
12. J.H. He,Approximate Analytical Solution for Seepage Flowwith Fractional Derivatives in Porous Media. J. Comput.Math. Appl.Mech. Eng., vol.167, p. 57-68, 1998.
13. J.H. He, Approximate Solution of Nonlinear Differential Equations with Convolution Product Nonlinearities. Comput. Math. Appl. Mech. Eng., vol.167, p. 69-73, 1998.
14. J.H. He, Variational IterationMethod aKind ofNon-linear Analytical Technique: Some Examples. Int. J. Non-Linear Mech., vol.344, p. 699-708, 1999.
15. J.H. He, Construction of Solitary Solution and Compacton-like Solution by Variational IterationMethod. X.H.Wu, Chaos Solitons Fractals, vol.29(1), p. 108-113, 2006.
16. J.H. He, Periodic Solutions and Bifurcations of Delay-differential Equations. Phys. Lett. A, vol.347(4-6), p. 228-230, 2005.
17. J.H. He,Limit Cycle andBifurcation ofNonlinear Problems. Chaos Solitons Fractals, vol.26(3), p. 827-833, 2005. (Pubitemid 40682513)
18. J.H. He, Homotopy Perturbation Method for Bifurcation of Nonlinear Problems. Int. J. Nonlinear Sci. Numer. Simul., vol.6(2), p. 207-208, 2005. (Pubitemid 40588629)
19. J.H.He, Recent Development of the Homotopy Perturbation Method. Topological Methods In Nonlinear Analysis., vol.31(2), p. 205-209, 2008.
20. X.C. Cai, W.Y. Wu, M.S. Li, Approximate Period Solution for a Kind of Nonlinear Oscillator by He's Perturbation Method. Int. J. Nonlinear Sci. Numer. Simul., vol.7(1), p. 109-117, 2006.
21. L. Cveticanin, Homotopy-perturbation for Pure Nonlinear Differential Equation. Chaos Solitons Fractals, vol.30(5), p. 1221-1230, 2006. (Pubitemid 44037393)
22. M. El-Shahed, Application of He's Homotopy Perturbation Method to Volterra's Integro-differential Equation. Int. J. Nonlinear Sci. Numer. Simul., vol.6(2), p. 163-168, 2005. (Pubitemid 40588624)
23. D.D. Ganji, A. Rajabi, Assessment of Homotopy-perturbation and Perturbation Methods in Heat Radiation Equations. Int. Commun. Heat Mass Transfer, vol.33(3), p. 391-400, 2006. (Pubitemid 43264379)
24. D.D. Ganji, The Application of He's Homotopy Perturbation Method to Nonlinear Equations Arising in Heat Transfer. Phys. Lett. A, vol.355 (4- 5), p. 337-341, 2006.
25. Abdoul R. Ghotbi, A. Barari, D.D. Ganji, Solving Ratio-Dependent Predator-prey System with Constant Effort Harvesting Using Homotopy Perturbation Method. J. Math. Prob. Eng., Article ID 945420, pp. 1-8, 2008.
26. Abdoul R. Ghotbi, A. Avaei, A. Barari,M.A. Mohammadzade, Assessment of He's Homotopy Perturbation Method in Burgers and Coupled Burgers. J. Appl. Sci., vol.8, pp. 322-327, 2008.
27. A. Barari, Abdoul R. Ghotbi, F. Farrokhzad, D.D. Ganji, Variational Iteration Method and Homotopy-perturbation Method for Solving Different Types of Wave Equations. J. Appl. Sci., vol.8, pp. 120-126, 2008.
28. A. Barari, M. Omidvar, Abdoul R. Ghotbi, D.D. Ganji, Application of Homotopy Perturbation Method and Variational Iteration Method to Nonlinear Oscillator Differential Equations. Acta Applicandae Mathematicae, vol.104, pp. 161-171, 2008.
29. A.J. Choobbasti, F. Farrokhzad, A. Barari, D.D. Ganji, Application ofWave Equation in Pile Foundation Using Homotopy Perturbation Method and Variational Iteration Method. J. Appl. Sci., vol.8, pp. 2158-2162, 2008.
30. S.H. Hosseinnia, A. Ranjbar, D.D. Ganji, H. Soltani and J. Ghasemi, Homotopy PerturbationBased Linearization ofNonlinear Heat Transfer Dynamic. Journal of Applied Mathematics and Computing, vol.29(1-2), p. 163-176, 2008.
31. I. Khatami, M.H. Pashai, and N. Tolou, Comparative Vibration Analysis of a Parametrically Nonlinear Excited Oscillator Using HPM and Numerical Method. J. Math. Prob. Eng., Article ID 956170, 2008.