Series solutions of boundary-layer flows with algebraically decaying property

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 367, Issue 4-5, 2007, Pages 307-310

  Tan, Yue ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Algebraic decay; Boundary layers; Homotopy analysis method; Series solutions

Indexed keywords

ALGEBRA; BOUNDARY LAYER FLOW;

ALGEBRAIC DECAY; HOMOTOPY ANALYSIS METHODS; SERIES SOLUTIONS;

BOUNDARY LAYERS;

EID: 34447505047     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2006.12.063     Document Type: Article

References (20)

1. Kuiken H.K. IMA J. Appl. Math. 34 (1981) 397
2. Kuiken H.K. Quart. J. Mech. Appl. Math. 27 (1981) 387
3. Weidman P.D., Kubitschek D.G., and Brown S.N. Acta Mech. 120 (1997) 199
4. Magyari E., Keller B., and Pop I. Acta Mech. 163 (2003) 139
5. Cheng P., and Minkowycz W.J. J. Geophys. Res. 82 (1977) 2040
6. Liao S.J., and Magyari E. Z. Angew. Math. Phys. 57 (2006) 777
7. Hilton P.J. An Introduction to Homotopy Theory (1953), Cambridge Univ. Press, Cambridge
8. Sen S. Topology and Geometry for Physicists (1983), Academic Press, Florida
9. Grigolyuk E.I., and Shalashilin V.I. Problems of Nonlinear Deformation: The Continuation Method Applied to Nonlinear Problems in Solid Mechanics (1991), Kluwer Academic, Dordrecht
10. Alexander J.C., and Yorke J.A. Trans. Amer. Math. Soc. 242 (1978) 271
11. Liao S.J. Beyond Perturbation: Introduction to Homotopy Analysis Method (2003), Chapman & Hall/CRC Press, Boca Raton
12. Liao S.J. J. Fluid Mech. 488 (2003) 189
13. Liao S.J., and Campo A. J. Fluid Mech. 453 (2002) 411
14. Ayub M., Rasheed A., and Hayat T. Int. J. Eng. Sci. 41 (2003) 2091
15. Liao S.J., and Cheung K.F. J. Eng. Math. 45 (2003) 105
16. Hayat T., Khan M., and Ayub M. Int. J. Eng. Sci. 42 (2004) 123
17. Sajid M., Hayat T., and Asghar S. Phys. Lett. A 355 (2006) 18
18. Abbasbandy S. Phys. Lett. A 360 (2006) 109
19. M. Sajid, T. Hayat, S. Asghar, Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt, Nonlinear Dynam., in press
20. Wang C., et al. Int. J. Heat Mass Transfer 46 (2003) 1855