Numerical solution for the Falkner-Skan equation

Chaos, Solitons and Fractals

Volumn 35, Issue 4, 2008, Pages 738-746

  Elgazery, Nasser S ^a  

^a Ain Shams University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; NONLINEAR EQUATIONS; POLYNOMIALS;

ADOMIAN DECOMPOSITION METHOD (ADM); SHOOTING METHOD;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 34848834800     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.05.040     Document Type: Article

References (25)

1. Adomian G. Nonlinear stochastic systems theory and applications to physics (1989), Kluwer, Academic
2. Adomian G. A review of the decomposition method and some recent results for nonlinear equations. Comput Math Appl 21 (1991) 101-127
3. Adomian G., Rach R.C., and Meyers R.E. An efficient methodology for the physical sciences. Kybenetes 20 (1991) 24-34
4. Adomian G. Solution of physical problems by decomposition. Comput Math Appl 27 (1994) 145-154
5. Adomian G. Solving frontier problems of physics : The decomposition method (1994), Kluwer, Boston
6. Asaithambi N.S. A numerical method for the solution of the Falkner-Skan equation. Appl Math Comput 81 (1997) 259-264
7. Asaithambi N.S. A finite-difference method for the solution of the Falkner-Skan equation. Appl Math Comput 92 (1998) 135-141
8. Asaithambi N.S. A second-order finite-difference method for the Falkner-Skan equation. Appl Math Comput 156 3 (2004) 779-786
9. Asaithambi N.S. Numerical solution of the Falkner-Skan equation using piecewise linear functions. Appl Math Comput 159 1 (2004) 267-273
10. Baker G.A., and Graves-Morris P. Padé approximates. Part I: Basic theory (1981), Addison-Wesley
11. Biazar J., Babolian E., Kember G., Nouri A., and Isla R. An alternate algorithm for computing Adomian polynomials in special cases. Appl Math Comput 138 (2003) 523-529
12. Cebeci T., and Keller H.B. Shooting and parallel shooting methods for solving the Falkner-Skan boundary-layer equation. J Comput Phys 7 (1971) 289-300
13. Kaya D., and Yokus A. A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations. Math Comput Simul 60 (2002) 507-512
14. Kaya D., and El-Sayed S.M. An application of the decomposition method for the generalized KdV and RLW equations. Chaos, Solitons & Fractals 17 5 (2003) 869-877
15. El-Danaf T.S., Ramadan M.A., and Abd Alaal F.E.I. The use of Adomian decomposition method for solving the regularized long-wave equation. Chaos, Solitons & Fractals 26 3 (2005) 747-757
16. El-Sayed S.M. The decomposition method for studying the Klein-Gordon equation. Chaos, Solitons & Fractals 18 5 (2003) 1025-1030
17. El-Sayed S.M., and Abdel-Aziz M.R. A comparison of Adomian decomposition method and wavelet-Galerkin method for solving integro-differential equations. Appl Math Comput 136 (2003) 151-159
18. Jiao Y.C., Yamamoto Y., Dang C., and Hao Y. An aftertreatment technique for improving the accuracy of Adomian decomposition method. Comput Math Appl 43 (2002) 783-798
19. Lesnic D. Blow-up solutions obtained using the decomposition method. Chaos, Solitons & Fractals 28 3 (2006) 776-787
20. Na T.Y. Computational methods in engineering boundary value problems (1979), Academic Press, New York
21. Sadefo Kamdem J., and Zhijun Q. Decomposition method for the Camassa-Holm equation. Chaos, Solitons & Fractals 31 2 (2007) 437-447
22. Geng X. Decomposition of a hierarchy of nonlinear evolution equations. Chaos, Solitons & Fractals 16 (2003) 749-758
23. Wazwaz A.M., and El-Sayed S.M. A new modification of the Adomian decomposition method for linear and nonlinear operators. Appl Math Comput 122 (2001) 393-405
24. Wazwaz A.M. Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method. Chaos, Solitons & Fractals 12 12 (2001) 2283-2293
25. Wazwaz A.M. Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method. Chaos, Solitons & Fractals 12 8 (2001) 1549-1556