The variational iteration method for solving two forms of Blasius equation on a half-infinite domain

Applied Mathematics and Computation

Volumn 188, Issue 1, 2007, Pages 485-491

  Wazwaz, Abdul Majid ^a  

^a SAINT XAVIER UNIVERSITY   (United States)

Author keywords

Blasius equation; Boundary layers; Pad approximants; The variational iteration method

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; ITERATIVE METHODS; PROBLEM SOLVING; TIME DOMAIN ANALYSIS;

BLASIUS EQUATION; PADÉ APPROXIMANTS; VARIATIONAL ITERATION METHOD;

VARIATIONAL TECHNIQUES;

EID: 34247608235     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.10.009     Document Type: Article

References (20)

1. Belhachmi Z., Bright B., and Taous K. On the concave solutions of the Blasius equations. Acta Mat. Univ. Comenianae LXIX 2 (2000) 199-214
2. Datta B.K. Analytic solution for the Blasius equation. Indian J. Pure Appl. Math. 34 2 (2003) 237-240
3. Kuiken H.K. On boundary layers in field mechanics that decay algebraically along stretches of wall that are not vanishing small. IMA J. Appl. Math. 27 (1981) 387-405
4. Kuiken H.K. A backward free-convective boundary layer. Quart. J. Mech. Appl. Math. 34 (1981) 397-413
5. He J.H. Approximate analytical solution of Blasius equation. Commun. Nonlinear Sci. Numer. Simul. 3 4 (1998) 260-263
6. He J.H. Some asymptotic methods for strongly nonlinear equations. Int. J. Modern Phys. B 20 10 (2006) 1141-1199
7. J.H. He, Non-perturbative methods for strongly nonlinear problems, Berlin: dissertation. de-Verlag im Internet GmbH, 2006.
8. He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput. Methods Appl. Mech. Eng. 167 (1998) 57-68
9. He J.H. Variational iteration method for autonomous ordinary differential systems. Appl. Math. Comput. 114 2/3 (2000) 115-123
10. He J.H. Homotopy perturbation method: a new nonlinear technique. Appl. Math. Comput. 135 (2003) 73-79
11. Momani S., and Odibat Z. Analytical approach to linear fractional .partial differential equations arising in fluid mechanics. Phys. Lett. A 1 53 (2006) 1-9
12. Momani S., and Abusaad S. Application of he's variational-iteration method to Helmholtz equation. Chaos, Solitons & Fractals 27 5 (2005) 1119-1123
13. A.M.Wazwaz, A comparison between the variational iteration method and Adomian decomposition method, J. Comput. Appl. Math., in press.
14. A.M.Wazwaz, The variational iteration method for rational solutions for KdV, K(2,2), Burgers, and cubic Boussinesq equations, J. Comput. Appl. Math., in press.
15. Wazwaz A.M. Analytical approximations and Padé approximants for Volterra's population model. Appl. Math. Comput. 100 (1999) 13-25
16. Wazwaz A.M. A study on aboundary-layer equation arising in an incompressible fluid. Appl. Math. Comput. 87 (1997) 199-204
17. Wazwaz A.M. Partial Differential Equations: Methods and Applications (2002), Balkema, The Netherlands
18. Boyd J. Padé approximant algorithm for solving nonlinear ordinary differential equation boundary value problems on an unbounded domain. Comput. Phys. 11 3 (1997) 299-303
19. Baker G.A. Essentials of Padé approximants (1975), Academic Press, London
20. Schlichting H. Boundary Layer Theory (1968), McGraw Hill, NY