New applications of Adomian decomposition method

Chaos, Solitons and Fractals

Volumn 33, Issue 2, 2007, Pages 513-522

  El Wakil, S A ^a   Abdou, M A ^a  

^a MANSOURA UNIVERSITY   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NUMERICAL METHODS; PROBLEM SOLVING;

ADOMIAN DECOMPOSITION METHOD; NONLINEAR PHYSICAL MODELS;

NONLINEAR EQUATIONS;

EID: 33847062377     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.12.037     Document Type: Article

References (23)

1. Wadati M., Segur H., and Ablowitz M.J. J Phys Soc Jpn 61 (1992) 1187
2. Wadati M., Sanuki H., and Konno K. Prof Theor Phys 53 (1975) 419
3. Wadati M. J Phys 57 5-6 (2001) 841-847
4. Wadati M. J Phys Soc Jpn 32 (1972) 1681
5. Drazin P.G., and Johnson R.S. Solitons: an introduction (1989), Cambridge University Press, Cambridge
6. Debtnath L. Nonlinear partial differential equations for scientist and engineers (1997), Birkhauser, Boston
7. Adomian G. The decomposition method (1994), Kluwer Acad. Publ., Boston
8. Adomian G., and Serrano S.E. Appl Math Lett 11 (1998) 53
9. Adomian G., Rach R., and Shawagfeh N.T. Phys Lett 2 (1995) 161
10. Deeba E.Y., and Khuri S.A. J Comput Phys 124 (1996) 442
11. Oldham K.B., and Spanier J. The fractional calculus (1974), Academic Press, New York
12. Podlubny I. Fractional differential equation (1999), Academic Press, New York
13. Tian L., and Yin J. Chaos, Solitons & Fractals 23 (2004) 159
14. Momoni S. Chaos, Solitons & Fractals 28 (2006) 930
15. Wazwaz A.M. Chaos, Solitons & Fractals 13 (2002) 321
16. Wazwaz A.M. Appl Math Comput 11 (2000) 33
17. ElWakil SA, Abdou MA, Elhanbaly A. Adomian decomposition method for solving the diffusion-convection reaction equations, Appl Math and Comput, in press.
18. Abdou M.A. JQSRT 95 (2005) 407
19. Kaya D., and El-Sayed M. Phys Lett A 313 (2003) 82
20. Seng V., and Abbaoui K.Y. Math Comput Model 24 (1996) 59
21. Lesnic D. Chaos, Solitons & Fractals 28 (2006) 776
22. Feng X. Phys Lett A 213 (1996) 167
23. Billingham J. Nonlinearity 17 (2004) 313