Series solution to the Thomas-Fermi equation

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

Volumn 365, Issue 1-2, 2007, Pages 111-115

  Khan, Hina ^a,b   Xu, Hang ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b NATIONAL UNIVERSITY OF COMPUTER AND EMERGING SCIENCES   (Pakistan)

Author keywords

Homotopy analysis method; Series solution; Thomas Fermi equation

Indexed keywords

ANALYTIC TECHNIQUE; HOMOTOPY ANALYSIS METHODS; NON LINEAR; SERIES SOLUTIONS; THOMAS-FERMI EQUATION;

DIFFERENTIAL EQUATIONS;

EID: 34047186947     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2006.12.064     Document Type: Article

References (22)

1. Fermi E. Rend. Accad. Naz. del Lincei, Cl. Sci. Fis. Mat. Nat. 6 (1927) 602
2. Thomas L.H. Proc. Cambridge Philos. Soc. 23 (1927) 542
3. Kobayashi S., et al. J. Phys. Soc. Jpn. 10 (1955) 759
4. Adomian G. Appl. Math. Lett. 11 (1998) 131
5. Bush V., and Caldwell S.H. J. Phys. B: At. Mol. Phys. 20 (1987) 547
6. Plindov G.I., and Pogrebnya S.K. J. Phys. B: At. Mol. Phys. 20 (1987) 547
7. Hille E. Proc. Natl. Acad. USA 62 (1969) 7
8. Cedillo A. J. Math. Phys. 34 (1993) 2713
9. Oulne M. physics/0511017
10. S.J. Liao, The proposed homotopy analysis techniques for the solution of nonlinear problems, Ph.D. dissertation (in English), Shanghai Jiao Tong University, Shanghai, 1992
11. Liao S.J. Int. J. Non-Linear Mech. 30 (1995) 371
12. Liao S.J. Int. J. Non-Linear Mech. 32 (1997) 815
13. Liao S.J. Appl. Math. Comput. 144 (2003) 495
14. Liao S.J. Beyond Perturbation-Introduction to the Homotopy Analysis Method (2003), Chapman & Hall/CRC, Boca Raton
15. Hayat T., Khan M., and Ayub M. Int. J. Eng. Sci. 42 (2004) 123
16. Abbasbandy S. Phys. Lett. A 360 (2006) 109
17. Asghar S., Gulzar M.M., and Ayub M. Acta Mech. Sinica 22 (2006) 195
18. Abbas Z., Sajid M., and Hayat T. Theor. Comput. Fluid Dyn. 20 (2006) 229
19. Zhu Sp. Quant. Financ. 6 (2006) 229
20. Shi Y.R., Xu X.J., Wu Z.X., et al. Acta Phys. Sinica 55 (2006) 1555
21. 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 Dyn., in press
22. Hayat T., and Sajid M. Phys. Lett. A 361 (2007) 316