Approximate solutions of thermal boundary-layer problems in a semi-infinite flat plate by using he's homotopy perturbation method

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 9, Issue 4, 2008, Pages 415-422

  Ganji, Z Z ^a   Ganji, D D ^a  

^a BABOL NOSHIRVANI UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Homotopy perturbation method (HPM); Infinite conditions; Non linear problems; Thermal boundary layer problems

Indexed keywords

EID: 51749106558     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2008.9.4.415     Document Type: Article

References (22)

1. B. L. Kuo, Thermal boundary-layer problems in a semi-infinite flat plate by the differential transformation method, Applied Mathematics and Computation 150 (2004) 303-320.
2. J. H. He, Bookkeeping parameter in perturbation methods, Int. J. Non. Sc. Num. Sim. 2 (3) (2001)257-264.
3. J. H. He, Homotopy perturbation technique, Comp. Meth. App. Mech. Eng. 178, (1999) 257-262.
4. J. H. He, A coupling method of a homotopy technique and a perturbation technique for non-linear problems, I. J. Non-Lin. Mech. 35 (2000) 37-43.
5. J. H. He, Homotopy perturbation method: a new nonlinear analytical technique, App. Math. Comp. 135 (2003) 73-79.
6. J. H. He, Addendum: new interpretation of homotopy perturbation method, Int. J. Mod. Phy. B, 20 (2006) 1141-1199.
7. J. H. He, Homotopy perturbation method: a new nonlinear analytical technique, J. Appl. Math. Comp. 135 (2000) 73-79.
8. J. H. He, A coupling method of homotopy technique and perturbation technique for nonlinear problems, Int. J. Non-Linear Mech. 35 (1)(2000) 37-43.
9. J. H. He, Bookkeeping parameter in perturbation methods, Int. J. Non-Lin. Sc. Num. Sim. 2 (3) (2001) 257-264.
10. D. D. Ganji, A. Sadighi, Application of He's Homotopy-perturbation Method to Nonlinear Coupled Systems of Reaction-diffusion Equations, Int. J. Nonlin. Sci. Num.7 (2006) 411-418.
11. D. D. Ganji A. Sadighi, Solution of the Generalized Nonlinear Boussinesq Equation Using Homotopy Perturbation and Variational Iteration Methods, Int. J. Nonlin. Sci. Num.8 (2007) 435-444.
12. M. Gorji, D. D. Ganji, S. Soleimani, New Application of He's Homotopy Perturbation Method, Int. J. Nonlin. Sci. Num.8 (2007) 319-328.
13. H. Tari, D. D. Ganji, M. Rostamian, Approximate Solutions of K (2,2), KdV and Modified KdV Equations by Variational Iteration Method, Homotopy Perturbation Method and Homotopy Analysis Method, Int. J. Nonlin. Sci. Num.8 (2007) 203-210.
14. D. D. Ganji, G.A. Afrouzi, R.A. Talarposhti, Application of He's variational iteration method for solving the reaction-diffusion equation with ecological parameters, Comp. Math. Appl. 54 (2007) 1010-1017.
15. D. D. Ganji, H. Tari, M. B. Jooybari, Variational iteration method and homotopy perturbation method for nonlinear evolution equations, Comp. Math. Appl. 54 (2007) 1018-1027.
16. A. Ghorbani, J. Saberi-Nadjafi, He's Homotopy Perturbation Method for Calculating Adomian Polynomials, Int. J. Nonlin. Sci. Num.8 (2007) 229-232.
17. B. Beléndez, A. Hernández, T. Beléndez, et al, Application of He's Homotopy Perturbation Method to the Duffing-Harmonic Oscillator, Int. J. Nonlin. Sci. Num.8 (2007) 79-88.
18. P. D. Ariel, T. Hayat, S. Asghar, Homotopy Perturbation Method and Axisymmetric Flow over a Stretching Sheet, Int. J. Nonlin. Sci. Num.7 (2006) 399-407.
19. J. Biazar, H. Ghazvini, He's Variational Iteration Method for Solving Hyperbolic Differential Equations, Int. J. Nonlin. Sci. Num.8 (2007) 311-314.
20. E. Yusufoǧlu, Homotopy Perturbation Method for Solving a Nonlinear System of Second Order Boundary Value Problems, Int. J. Nonlin. Sci. Num.8 (2007) 353-358.
21. Z. M. Odibat, S. Momani, Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order, Int. J. Nonlin. Sci. Num.7 (2006) 27-34.
22. T.Y. Na, Computational Methods in Engineering Boundary Value Problems, Academic Press, New York, 1979.