Solution of the generalized EmdenFowler equations by the hybrid functions method

Physica Scripta

Volumn 80, Issue 2, 2009, Pages

  Tabrizidooz, H R ^a   Marzban, H R ^a   Razzaghi, M ^b  

^a ISFAHAN UNIVERSITY OF TECHNOLOGY   (Iran)

^b MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BLOCK-PULSE FUNCTION; EMDEN-FOWLER EQUATIONS; HYBRID FUNCTIONS; LAGRANGE INTERPOLATING POLYNOMIALS; MATHEMATICAL PHYSICS; NUMERICAL ALGORITHMS; SYSTEM OF NONLINEAR EQUATIONS;

ASTROPHYSICS;

NONLINEAR EQUATIONS;

EID: 70450195787     PISSN: 00318949     EISSN: 14024896     Source Type: Journal    
DOI: 10.1088/0031-8949/80/02/025001     Document Type: Article

References (19)

1. Fowler R H 1914 The form near infinity of real, continuous solutions of a certain differential equation of the second order Q. J. Math. 45 289-350
2. Fowler R H 1930 The solution of Emdens and similar differential equations Mon. Not. R. Astron. Soc. 91 63-91
3. Havas P 1992 Shear-free spherically symmetric perfect fluid solutions with conformal symmetry Gen. Rel. Grav. 24 599-615
4. Govinder K S, Leach P G L and Maharaj S D 1994 Integrability analysis of a conformal equation arising in general relativity Int. J. Theor. Phys. 34 625-39
5. Chandrasekhar S 1967 Introduction to the Study of Stellar Structure New York: Dover
6. Bender C M, Pinsky K S and Simmons L M 1989 A new perturbative approach to nonlinear problems J. Math. Phys. 30 1447-55
7. Wazwaz A M 2001 A new algorithm for solving singular value problems in the second-order ordinary differential equations Appl. Math. Comput. 128 45-57
8. Mandelzweig V B and Tabakin F 2001 Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs Comput. Phys. Commun. 141 268-81
9. Liao S 2003 A new analytic algorithm of Lane-Emden type equations Appl. Math. Comput. 142 1-16
10. He J H 2003 Variational approach to the Lane-Emden equation Appl. Math. Comput. 143 539-41
11. Ramos J I 2003 Linearization methods in classical and quantum mechanics Comput. Phys. Commun. 53 199-208
12. Dehghan M and Shakeri F 2008 Approximate solution of a differential equation arising in astrophysics using the variational iteration method New Astron. 13 53-9
13. Marzban H R, Tabrizidooz H R and Razzaghi M 2008 Hybrid functions for nonlinear initial-value problems with applications to Lane-Emden type equations Phys. Lett. A 372 5883-6
14. Panayotounakos D E and Sotiropoulos N 2005 Exact analytic solutions of unsolvable classes of first- and second-order nonlinear ODEs (Part II: Emden-Fowler and relative equations) Appl. Math. Lett. 18 367-74
15. Wazwaz A M 2005 Adomian decomposition method for a reliable treatment of the Emden-Fowler equation Appl. Math. Comput. 161 543-60
16. Ramos J I 2005 Linearization techniques for singular initial-value problems of ordinary differential equations Appl. Math. Comput. 161 525-42
17. Batiha B, Noorani M S M and Hashim I 2007 Application of variational iteration method to heat- and wave-like equations Phys. Lett. A 369 55-61
18. Chowdhury M S H and Hashim I 2009 Solutions of Emden-Fowler equations by homotopy-perturbation method Nonlinear Anal.: Real World Appl. 10 104-15
19. Davis P J and Rabinowitz P 1975 Methods of Numerical Integration (New York: Academic)