A study on the PDEs with power-law nonlinearity

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 3, 2010, Pages 1258-1268

  Molabahrami, A ^a,b   Shidfar, A ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

^b ILAM UNIVERSITY   (Iran)

Author keywords

Cauchy problem; Homotopy analysis method; PDEs with power law nonlinearity

Indexed keywords

ANALYTIC TECHNIQUE; CAUCHY PROBLEMS; HOMOTOPY ANALYSIS METHODS; NON-LINEAR PDES; POWER-LAW NONLINEARITY;

AIRCRAFT ENGINES;

EID: 77950917622     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.02.016     Document Type: Article

References (20)

1. S.J. Liao, The proposed homotopy analysis technique for the solution of nonlinear problems, Ph.D. Thesis, Shanghai Jiao Tong University, 1992
2. Liao S.J. Internat. J. Non-Linear Mech. 34 (1999) 759
3. Liao S.J. Beyond Perturbation: Introduction to the Homotopy Analysis Method (2003), Chapman & Hall/CRC Press, Boca Raton
4. Liao S.J. J. Fluid Mech. 488 (2003) 189
5. Liao S.J. Appl. Math. Comput. 147 (2004) 499
6. Liao S.J. Int. J. Heat Mass Transfer 48 (2005) 25
7. Inc M. Phys. Lett. A 372 (2008) 356
8. Molabahrami A., and Khani F. Nonlinear Anal. RWA 10 (2009) 589
9. Hayat T., Abbas Z., and Sajid M. Phys. Lett. A 361 (2007) 316
10. Abbasbandy S. Phys. Lett. A 360 (2006) 109
11. Song L., and Zhang H. Phys. Lett. A 367 (2007) 88
12. Liao S.J. Commun. Nonlinear Sci. Numer. Simul. 14 (2009) 983
13. Watson L.T. Appl. Math. Comput. 13BK (1989) 369
14. Watson L.T., and Scott M.R. Appl. Math. Comput. 24 (1987) 3X-357
15. Watson L.T. Appl. Math. Comput. 9 (1981) 111
16. Watson L.T., and Haftka R.T. Comput. Methods Appl. Mech. Engrg. 74 (1989) 289
17. Wang Y., Bernstein D.S., and Watson L.T. Appl. Math. Comput. 123 (2001) 155
18. Liao S.J. Appl. Math. Comput. 169 (2005) 1186
19. He J.H. Appl. Math. Comput. 156 (2004) 527
20. Bataineh B., Noorani M.S.M., and Hashim I. Phys. Lett. A 370 (2007) 437