메뉴 건너뛰기




Volumn 70, Issue 6, 2009, Pages 2480-2484

Solutions of singular IVPs of Lane-Emden type by the variational iteration method

Author keywords

Lane Emden type equations; Singular IVPs; Variational iteration method

Indexed keywords

OSCILLATORS (MECHANICAL); PARTICLE SIZE ANALYSIS;

EID: 59049085436     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2008.03.012     Document Type: Article
Times cited : (149)

References (33)
  • 5
    • 21144474137 scopus 로고
    • Non-perturbative approximate solution for Lane-Emden equation
    • Shawagfeh N.T. Non-perturbative approximate solution for Lane-Emden equation. J. Math. Phys. 34 9 (1993) 4364-4369
    • (1993) J. Math. Phys. , vol.34 , Issue.9 , pp. 4364-4369
    • Shawagfeh, N.T.1
  • 6
    • 0040926145 scopus 로고    scopus 로고
    • A new algorithm for solving differential equations of Lane-Emden type
    • Wazwaz A.-M. A new algorithm for solving differential equations of Lane-Emden type. Appl. Math. Comput. 118 (2001) 287-310
    • (2001) Appl. Math. Comput. , vol.118 , pp. 287-310
    • Wazwaz, A.-M.1
  • 7
    • 0037052586 scopus 로고    scopus 로고
    • A new method for solving singular value problems in the second order ordinary differential equations
    • Wazwaz A.-M. A new method for solving singular value problems in the second order ordinary differential equations. Appl. Math. Comput. 128 (2001) 45-57
    • (2001) Appl. Math. Comput. , vol.128 , pp. 45-57
    • Wazwaz, A.-M.1
  • 8
    • 1842864972 scopus 로고    scopus 로고
    • Accelerated power series solution of polytropic and isothermal gas spheres
    • Nouh M.I. Accelerated power series solution of polytropic and isothermal gas spheres. New Astron. 9 (2004) 467-473
    • (2004) New Astron. , vol.9 , pp. 467-473
    • Nouh, M.I.1
  • 9
    • 0035976505 scopus 로고    scopus 로고
    • Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
    • Mandelzweig V.B., and Tabakin F. Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs. Comput. Phys. Commun. 141 (2001) 268-281
    • (2001) Comput. Phys. Commun. , vol.141 , pp. 268-281
    • Mandelzweig, V.B.1    Tabakin, F.2
  • 10
    • 0037799370 scopus 로고    scopus 로고
    • Linearization method in classical and quantum mechanics
    • Ramos J.I. Linearization method in classical and quantum mechanics. Comput Phys. Commun. 153 (2003) 199-208
    • (2003) Comput Phys. Commun. , vol.153 , pp. 199-208
    • Ramos, J.I.1
  • 11
    • 2542493856 scopus 로고    scopus 로고
    • Lie point symmetries and exact solutions of quasilinear differential equations with critical exponents
    • Bozkhov Y., and Martins A.C.G. Lie point symmetries and exact solutions of quasilinear differential equations with critical exponents. Nonlinear Anal. 57 (2004) 773-793
    • (2004) Nonlinear Anal. , vol.57 , pp. 773-793
    • Bozkhov, Y.1    Martins, A.C.G.2
  • 12
    • 33645967145 scopus 로고    scopus 로고
    • Approximate implicit solution of a Lane-Emden equation
    • Momoniat E., and Harley C. Approximate implicit solution of a Lane-Emden equation. New Astron. 11 (2006) 520-526
    • (2006) New Astron. , vol.11 , pp. 520-526
    • Momoniat, E.1    Harley, C.2
  • 13
    • 0034345397 scopus 로고    scopus 로고
    • Exact solutions of the generalized Lane-Emden equation
    • Goenner H., and Havas P. Exact solutions of the generalized Lane-Emden equation. J. Math. Phys. 41 (2000) 7029-7042
    • (2000) J. Math. Phys. , vol.41 , pp. 7029-7042
    • Goenner, H.1    Havas, P.2
  • 14
    • 0037542776 scopus 로고    scopus 로고
    • A new analytic algorithm of Lane-Emden type equations
    • Liao S. A new analytic algorithm of Lane-Emden type equations. Appl. Math. Comput. 142 (2003) 1-16
    • (2003) Appl. Math. Comput. , vol.142 , pp. 1-16
    • Liao, S.1
  • 15
    • 0038182679 scopus 로고    scopus 로고
    • Variational approach to the Lane-Emden equation
    • He J.H. Variational approach to the Lane-Emden equation. Appl. Math. Comput. 143 (2003) 539-541
    • (2003) Appl. Math. Comput. , vol.143 , pp. 539-541
    • He, J.H.1
  • 16
    • 43049098279 scopus 로고    scopus 로고
    • Series approach to the Lane-Emden equation and comparison with the homotopy perturbation method
    • 10.1016/j.chaos.2006.11.018
    • Ramos J.I. Series approach to the Lane-Emden equation and comparison with the homotopy perturbation method. Chaos Solitons Fractals (2006) 10.1016/j.chaos.2006.11.018
    • (2006) Chaos Solitons Fractals
    • Ramos, J.I.1
  • 17
    • 34548249064 scopus 로고    scopus 로고
    • Solutions of singular IVP's of Lane-Emden type by homotopy pertutbation method
    • Öziş T., and Yi{dotless}ldi{dotless}ri{dotless}m A. Solutions of singular IVP's of Lane-Emden type by homotopy pertutbation method. Phys. Lett. A 369 (2007) 70-76
    • (2007) Phys. Lett. A , vol.369 , pp. 70-76
    • Öziş, T.1    Yildirim, A.2
  • 18
    • 34247347840 scopus 로고    scopus 로고
    • Solutions of a class of singular second-order IVPs by homotopy-perturbation method
    • 10.1016/j.physleta.2007.02.002
    • Chowdhury M.S.H., and Hashim I. Solutions of a class of singular second-order IVPs by homotopy-perturbation method. Phys. Lett. A. (2007) 10.1016/j.physleta.2007.02.002
    • (2007) Phys. Lett. A.
    • Chowdhury, M.S.H.1    Hashim, I.2
  • 19
    • 34548509029 scopus 로고    scopus 로고
    • Approximate solution of a differential equation arising in astrophysics using the variational iteration method
    • Dehghan M., and Shakeri F. Approximate solution of a differential equation arising in astrophysics using the variational iteration method. New Astron. 13 (2008) 53-59
    • (2008) New Astron. , vol.13 , pp. 53-59
    • Dehghan, M.1    Shakeri, F.2
  • 20
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method - A kind of non-linear analytical technique: Some examples
    • He J.H. Variational iteration method - A kind of non-linear analytical technique: Some examples. Int. J. Nonlinear Mech. 34 4 (1999) 699-708
    • (1999) Int. J. Nonlinear Mech. , vol.34 , Issue.4 , pp. 699-708
    • He, J.H.1
  • 21
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J.H. Some asymptotic methods for strongly nonlinear equations. Int. J. Mod. Phys. B 20 10 (2006) 1141-1199
    • (2006) Int. J. Mod. Phys. B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 22
    • 34250668369 scopus 로고    scopus 로고
    • J.H. He, Variational iteration method-Some recent results and new interpretations, J. Comput. Appl. Math. doi:10.1016/j.cam.2006.07.009
    • J.H. He, Variational iteration method-Some recent results and new interpretations, J. Comput. Appl. Math. doi:10.1016/j.cam.2006.07.009
  • 23
    • 59049097603 scopus 로고    scopus 로고
    • J.H He, Non-Perturbative Methods for Strongly nonlinear Problems, Dissertation, de-verlag im Internet GmbH, Berlin, 2006
    • J.H He, Non-Perturbative Methods for Strongly nonlinear Problems, Dissertation, de-verlag im Internet GmbH, Berlin, 2006
  • 24
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and Compton-like solution by variational iteration method
    • He J.H., and Wu X.H. Construction of solitary solution and Compton-like solution by variational iteration method. Chaos Solitons Fractals 29 (2006) 108-113
    • (2006) Chaos Solitons Fractals , vol.29 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 25
    • 32644457439 scopus 로고    scopus 로고
    • The use of variational iteration method, differential transform method and adomian decomposition method for solving different types of nonlinear partial differential equations
    • Bildik N., and Konuralp A. The use of variational iteration method, differential transform method and adomian decomposition method for solving different types of nonlinear partial differential equations. Int. J. Nonlinear Sci. Numer. Simul. 7 (2006) 65-70
    • (2006) Int. J. Nonlinear Sci. Numer. Simul. , vol.7 , pp. 65-70
    • Bildik, N.1    Konuralp, A.2
  • 26
    • 30344464250 scopus 로고    scopus 로고
    • Application of variational iteration method to nonlinear differential equations of fractional order
    • Odibat Z.M., and Momani S. Application of variational iteration method to nonlinear differential equations of fractional order. Int. J. Nonlinear Sci. Numer. Simul. 7 (2006) 27-34
    • (2006) Int. J. Nonlinear Sci. Numer. Simul. , vol.7 , pp. 27-34
    • Odibat, Z.M.1    Momani, S.2
  • 27
    • 24944474278 scopus 로고    scopus 로고
    • Application of He's variational iteration method to Helmotz equation
    • Momani S., and Abuasad S. Application of He's variational iteration method to Helmotz equation. Chaos Solitons Fractals 27 (2006) 1119-1123
    • (2006) Chaos Solitons Fractals , vol.27 , pp. 1119-1123
    • Momani, S.1    Abuasad, S.2
  • 28
    • 34447499980 scopus 로고    scopus 로고
    • 1 / 3 force by He's variational iteration method
    • 1 / 3 force by He's variational iteration method. J. Sound Vib. 306 1-2 (2007) 372-376
    • (2007) J. Sound Vib. , vol.306 , Issue.1-2 , pp. 372-376
    • Öziş, T.1    Yildirim, A.2
  • 29
    • 33748425302 scopus 로고    scopus 로고
    • Numerical comparison of methods for solving linear differential equations of fractional order
    • Momani S., and Odibat Z.M. Numerical comparison of methods for solving linear differential equations of fractional order. Chaos Solitons Fractals 31 (2007) 1248-1255
    • (2007) Chaos Solitons Fractals , vol.31 , pp. 1248-1255
    • Momani, S.1    Odibat, Z.M.2
  • 30
    • 34249893388 scopus 로고    scopus 로고
    • Approximate solutions of K(2,2), KdV and modified KdV equations by variational iteration method, homotopy perturbation method and homotopy analysis method
    • Tari H., Ganji D.D., and Rostamian M. Approximate solutions of K(2,2), KdV and modified KdV equations by variational iteration method, homotopy perturbation method and homotopy analysis method. Int. J. Nonlinear Sci. Numer. Simul. 8 2 (2007) 203-210
    • (2007) Int. J. Nonlinear Sci. Numer. Simul. , vol.8 , Issue.2 , pp. 203-210
    • Tari, H.1    Ganji, D.D.2    Rostamian, M.3
  • 31
    • 33748578650 scopus 로고    scopus 로고
    • Variational iteration method for one dimensional nonlinear thermoelasticity
    • Sweilam N.H., and khader M.M. Variational iteration method for one dimensional nonlinear thermoelasticity. Chaos Solitons Fractals 32 (2007) 145-149
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 145-149
    • Sweilam, N.H.1    khader, M.M.2
  • 32
    • 34249883978 scopus 로고    scopus 로고
    • Variational iteration method for construction of some compact and noncompact structures of Klein-Gordon equations
    • Yusufoǧlu E. Variational iteration method for construction of some compact and noncompact structures of Klein-Gordon equations. Int. J. Nonlinear Sci. Numer. 8 2 (2007) 153-158
    • (2007) Int. J. Nonlinear Sci. Numer. , vol.8 , Issue.2 , pp. 153-158
    • Yusufoǧlu, E.1
  • 33
    • 42449109580 scopus 로고    scopus 로고
    • Application of the variational iteration method to thin circular plates
    • Özer H. Application of the variational iteration method to thin circular plates. Int. J. Nonlinear Sci. Numer. Simul. 9 1 (2008) 27-32
    • (2008) Int. J. Nonlinear Sci. Numer. Simul. , vol.9 , Issue.1 , pp. 27-32
    • Özer, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.