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Volumn 202, Issue 11, 2015, Pages 1425-1437

The Variational Iteration Method for Solving New Fourth-Order Emden–Fowler Type Equations

Author keywords

Emden Fowler equation; Lagrange multipliers; Variational iteration method

Indexed keywords

LAGRANGE MULTIPLIERS;

EID: 84932606890     PISSN: 00986445     EISSN: 15635201     Source Type: Journal    
DOI: 10.1080/00986445.2014.952814     Document Type: Review
Times cited : (16)

References (22)
  • 1
    • 21844487864 scopus 로고
    • On the analytic solution of the Lane–Emden equation
    • G.Adomian,, R.Rach,, and N.T.Shawagfeh, (1995). On the analytic solution of the Lane–Emden equation, Found. Phys. Lett., 8, 161–181.
    • (1995) Found. Phys. Lett , vol.8 , pp. 161-181
    • Adomian, G.1    Rach, R.2    Shawagfeh, N.T.3
  • 4
    • 34548509029 scopus 로고    scopus 로고
    • Approximate solution of a differential equation arising in astrophysics using the variational iteration method
    • M.Dehghan,, and F.Shakeri, (2008). Approximate solution of a differential equation arising in astrophysics using the variational iteration method, New Astronomy, 13, 53–59.
    • (2008) New Astronomy , vol.13 , pp. 53-59
    • Dehghan, M.1    Shakeri, F.2
  • 5
    • 84932613610 scopus 로고
    • Gaskugeln: Anwendungen Der Mechanischen Wärmetheorie Auf Kosmologische Und Meteorologische Probleme (German Edition), Druck and Verlag Von B. G. Teubner, Leipzig and Berlin.
    • R.Emden, (1907). Gaskugeln: Anwendungen Der Mechanischen Wärmetheorie Auf Kosmologische Und Meteorologische Probleme (German Edition), Druck and Verlag Von B. G. Teubner, Leipzig and Berlin.
    • (1907)
    • Emden, R.1
  • 6
    • 0001508926 scopus 로고
    • Further studies of Emden's and similar differential equations
    • R.H.Fowler, (1931). Further studies of Emden's and similar differential equations, Quarterly Journal of Mathematics, 2(1), 259–288.
    • (1931) Quarterly Journal of Mathematics , vol.2 , Issue.1 , pp. 259-288
    • Fowler, R.H.1
  • 7
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • J.H.He, (2000). Variational iteration method for autonomous ordinary differential systems, Appl. Math. Comput., 114(2/3), 115–123.
    • (2000) Appl. Math. Comput , vol.114 , Issue.2-3 , pp. 115-123
    • He, J.H.1
  • 8
    • 34250668369 scopus 로고    scopus 로고
    • Variational iteration method—Some recent results and new interpretations
    • J.H.He, (2007). Variational iteration method—Some recent results and new interpretations, J. Comput. Appl. Math., 207(1), 3–17.
    • (2007) J. Comput. Appl. Math , vol.207 , Issue.1 , pp. 3-17
    • He, J.H.1
  • 9
    • 49949092325 scopus 로고    scopus 로고
    • Lagrangian formulation of a generalized Lane–Emden equation and double reduction
    • C.M.Khalique,, F.M.Mahomed,, and B.Muatjetjeja, (2008). Lagrangian formulation of a generalized Lane–Emden equation and double reduction, J. Nonlinear Math. Phys., 1, 152–161.
    • (2008) J. Nonlinear Math. Phys , vol.1 , pp. 152-161
    • Khalique, C.M.1    Mahomed, F.M.2    Muatjetjeja, B.3
  • 10
    • 0348040939 scopus 로고
    • On the theoretical temperature of the sun under the hypothesis of a gaseous mass maintaining its volume by its internal heat and depending on the laws of gases known to terrestrial experiment
    • I.J.H.Lane, (1870). On the theoretical temperature of the sun under the hypothesis of a gaseous mass maintaining its volume by its internal heat and depending on the laws of gases known to terrestrial experiment, American Journal of Science and Arts, 4, 57–74.
    • (1870) American Journal of Science and Arts , vol.4 , pp. 57-74
    • Lane, I.J.H.1
  • 11
    • 33645967145 scopus 로고    scopus 로고
    • Approximate implicit solution of a Lane–Emden equation
    • E.Momoniat,, and C.Harley, (2006). Approximate implicit solution of a Lane–Emden equation, New Astro., 11, 520–526.
    • (2006) New Astro , vol.11 , pp. 520-526
    • Momoniat, E.1    Harley, C.2
  • 12
    • 80052467614 scopus 로고    scopus 로고
    • Exact solutions of the generalized Lane–Emden equations of the first and second kind
    • B.Muatjetjeja,, and C.M.Khalique, (2011). Exact solutions of the generalized Lane–Emden equations of the first and second kind, Pramana, 77, 545–554.
    • (2011) Pramana , vol.77 , pp. 545-554
    • Muatjetjeja, B.1    Khalique, C.M.2
  • 13
    • 77950626787 scopus 로고    scopus 로고
    • An approximation algorithm for the solution of the nonlinear Lane–Emden type equations arising in astrophysics using Hermite functions collocation method
    • K.Parand,, M.Dehghan,, A.R.Rezaeia,, and S.M.Ghaderi, (2010). An approximation algorithm for the solution of the nonlinear Lane–Emden type equations arising in astrophysics using Hermite functions collocation method, Comput. Phys. Commun., 181, 1096–1108.
    • (2010) Comput. Phys. Commun , vol.181 , pp. 1096-1108
    • Parand, K.1    Dehghan, M.2    Rezaeia, A.R.3    Ghaderi, S.M.4
  • 14
    • 70349807582 scopus 로고    scopus 로고
    • Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane–Emden type
    • K.Parand,, M.Shahini,, and M.Dehghan, (2009). Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane–Emden type, J. Comput. Phys., 228, 8830–8840.
    • (2009) J. Comput. Phys , vol.228 , pp. 8830-8840
    • Parand, K.1    Shahini, M.2    Dehghan, M.3
  • 16
    • 0040926145 scopus 로고    scopus 로고
    • A new algorithm for solving differential equations of Lane–Emden type
    • A.M.Wazwaz, (2001). A new algorithm for solving differential equations of Lane–Emden type, Appl. Math. Comput., 118, 287–310.
    • (2001) Appl. Math. Comput , vol.118 , pp. 287-310
    • Wazwaz, A.M.1
  • 17
    • 0037052586 scopus 로고    scopus 로고
    • A new method for solving singular initial value problems in the second-order ordinary differential equations
    • A.M.Wazwaz, (2002). A new method for solving singular initial value problems in the second-order ordinary differential equations, Appl. Math. Comput., 128, 47–57.
    • (2002) Appl. Math. Comput , vol.128 , pp. 47-57
    • Wazwaz, A.M.1
  • 18
    • 20444445089 scopus 로고    scopus 로고
    • Analytical solution for the time-dependent Emden–Fowler type of equations by Adomian decomposition method
    • A.M.Wazwaz, (2005). Analytical solution for the time-dependent Emden–Fowler type of equations by Adomian decomposition method, Appl. Math. Comput., 166, 638–651.
    • (2005) Appl. Math. Comput , vol.166 , pp. 638-651
    • Wazwaz, A.M.1
  • 20
    • 79955978646 scopus 로고    scopus 로고
    • The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models
    • A.M.Wazwaz, (2011). The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models, Commun. Nonlinear Sci. Numer. Simulat., 16, 3881–3886.
    • (2011) Commun. Nonlinear Sci. Numer. Simulat , vol.16 , pp. 3881-3886
    • Wazwaz, A.M.1
  • 21
    • 34548249064 scopus 로고    scopus 로고
    • Solutions of singular IVPs of Lane–Emden type by homotopy perturbation method
    • A.Yildirim,, and T.Özis, (2007). Solutions of singular IVPs of Lane–Emden type by homotopy perturbation method, Phys. Lett. A 369, 70–76.
    • (2007) Phys. Lett. A , vol.369 , pp. 70-76
    • Yildirim, A.1    Özis, T.2
  • 22
    • 59049085436 scopus 로고    scopus 로고
    • Solutions of singular IVPs of Lane–Emden type by the variational iteration method
    • A.Yildirim,, and T.Özis, (2009). Solutions of singular IVPs of Lane–Emden type by the variational iteration method, Nonlinear Analysis, 70, 2480–2484.
    • (2009) Nonlinear Analysis , vol.70 , pp. 2480-2484
    • Yildirim, A.1    Özis, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.