Sinc-Collocation method for solving astrophysics equations

New Astronomy

Volumn 15, Issue 6, 2010, Pages 533-537

  Parand, K ^a   Pirkhedri, A ^b  

^a SHAHID BEHESHTI UNIVERSITY   (Iran)

^b ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

Collocation method; Lane Emden equation; Nonlinear ODE; Semi infinite; Sinc functions

Indexed keywords

EID: 77950338358     PISSN: 13841076     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.newast.2010.01.001     Document Type: Article

References (42)

1. Al-Khaled K. Chaos Soliton Fract. 33 (2007) 678
2. Bender C.M., Milton K.A., Pinsky S.S., and Simmons Jr. L.M. J. Math. Phys. 30 (1989) 1447
3. Bialecki B. Numer. Math. 57 (1990) 263
4. Boyd J.P. J. Comput. Phys. 69 (1987) 112
5. Boyd J.P. J. Comput. Phys. 70 (1987) 63
6. Boyd J.P. Chebyshev and Fourier Spectral Methods. second ed. (2000), Dover, New York
7. Boyd J.P., Rangan C., and Bucksbaum P.H. J. Comput. Phys. 188 (2003) 56
8. Carlson T.S., Dockery J., and Lund J. Math. Comput. 217 (1997) 215
9. Christov C.I. SIAM J. Appl. Math. 42 (1982) 1337
10. Dehghan M., and Saadatmandi A. Math. Comput. Model. 46 (2007) 1434
11. Dehghan M., and Shakeri F. New Astron. 13 (2008) 53
12. El-Gamel M., Behiry S.H., and Hashish H. Appl. Math. Comput. 145 (2003) 717
13. Funaro D. Appl. Numer. Math. 6 (1990) 447
14. Guo B.Y. J. Math. Anal. Appl. 226 (1998) 180
15. Guo B.Y. J. Comput. Math. 18 (2000) 95
16. Guo B.Y. J. Math. Anal. Appl. 243 (2000) 373
17. Guo B.Y., and Shen J. Numer. Math. 86 (2000) 635
18. Guo B.Y., Shen J., and Wang Z.Q. J. Sci. Comput. 15 (2000) 117
19. Horedt G.P. Polytropes Applications in Astrophysics and Related Fields (2004), Kluwer Academic Publishers, Dordrecht
20. Koures V.G., and Harris F.E. Int. J. Quantum Chem. 30 (1996) 1311
21. Lund J., and Bowers K. Sinc Methods for Quadrature and Differential Equations (1992), SIAM, Philadelphia
22. Lund J., and Bowers K. Sinc Methods for Quadrature and Differential Equations (1992), SIAM, Philadelphia
23. Lund J., and Vogel C. Inverse Probl. 6 (1990) 205
24. Maday Y., Pernaud-Thomas B., and Vandeven H. La Rech. Aerospatiale 6 (1985) 13
25. Mandelzweig V.B., and Tabakin F. Comput. Phys. Commun. 141 (2001) 268
26. Parand K., and Razzaghi M. Phys. Scripta 64 (2004) 353
27. Parand K., and Razzaghi M. Appl. Math. Comput. 149 (2004) 893
28. Parand K., and Razzaghi M. Int. J. Comput. Math. 81 (2004) 73
29. Parand K., and Shahini M. Phys. Lett. A. 373 (2009) 210
30. Ramos J.I. Appl. Math. Comput. 161 (2005) 525
31. Ramos J.I. Chaos Soliton Fract. 38 (2008) 400
32. Ravi Agarwala P., and O'Reganb D. Appl. Math. Lett. 20 (2007) 11981205
33. Shawagfeh N.T. J. Math. Phys. 34 (1993) 4364
34. Shen J. SIAM J. Numer. Anal. 38 (2000) 1113
35. Smith R., and Bowers K. Inverse Probl. 9 (1993) 113
36. Smith R.C., Bogar G.A., Bowers K.L., and Lund J. J. Numer. Anal. 28 (1991) 760
37. Stenger F. J. Inst. Math. Appl. 12 (1973) 103
38. Stenger F. Math. Comput. 33 (1979) 85
39. Stenger F. Numerical Methods Based on Sinc and Analytic Functions (1993), Springer-Verlag, New York
40. Wazwaz A.M. Appl. Math. Comput. 118 (2001) 287
41. Wazwaz A.M. Appl. Math. Comput. 173 (2006) 165
42. Yousefi S.A. Appl. Math. Comput. 181 (2006) 1417