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Volumn 16, Issue 10, 2011, Pages 3881-3886

The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models

Author keywords

Heat conduction; Singular boundary value problem; Variational iteration method

Indexed keywords

BOUNDARY VALUE PROBLEMS; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; NONLINEAR EQUATIONS;

EID: 79955978646     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.02.026     Document Type: Article
Times cited : (97)

References (22)
  • 1
    • 77953539680 scopus 로고    scopus 로고
    • Numerical modeling of oxygen diffusion in cells with Michaelis-Menten uptake kinetics
    • Lima P.M., Morgado L. Numerical modeling of oxygen diffusion in cells with Michaelis-Menten uptake kinetics. J Math Chem 2010, 48:145-158.
    • (2010) J Math Chem , vol.48 , pp. 145-158
    • Lima, P.M.1    Morgado, L.2
  • 2
    • 77956873280 scopus 로고    scopus 로고
    • Modified Adomian decomposition method and computer implementation for solving singular boundary value problems arising in various physical problems
    • Komar M., Singh N. Modified Adomian decomposition method and computer implementation for solving singular boundary value problems arising in various physical problems. Comput Chem Eng 2010, 34:1750-1760.
    • (2010) Comput Chem Eng , vol.34 , pp. 1750-1760
    • Komar, M.1    Singh, N.2
  • 3
    • 77954863371 scopus 로고    scopus 로고
    • A novel approach for the solution of a class of singular boundary value problems arising in physiology
    • Khuri S.A., Sayfy A. A novel approach for the solution of a class of singular boundary value problems arising in physiology. Math Comput Model 2010, 52:626-636.
    • (2010) Math Comput Model , vol.52 , pp. 626-636
    • Khuri, S.A.1    Sayfy, A.2
  • 4
    • 20444445089 scopus 로고    scopus 로고
    • Analytical solution for the time-dependent Emden-Fowler type of equations by Adomian decomposition method
    • Wazwaz A.M. Analytical solution for the time-dependent Emden-Fowler type of equations by Adomian decomposition method. Appl Math Comput 2005, 166:638-651.
    • (2005) Appl Math Comput , vol.166 , pp. 638-651
    • Wazwaz, A.M.1
  • 5
    • 0040926145 scopus 로고    scopus 로고
    • A new method for solving differential equations of the Lane-Emden type
    • Wazwaz A.M. A new method for solving differential equations of the Lane-Emden type. Appl Math Comput 2001, 118(2/3):287310.
    • (2001) Appl Math Comput , vol.118 , Issue.2-3 , pp. 287310
    • Wazwaz, A.M.1
  • 6
    • 0037052586 scopus 로고    scopus 로고
    • A new method for solving singular initial value problems in the second order ordinary differential equations
    • Wazwaz A.M. A new method for solving singular initial value problems in the second order ordinary differential equations. Appl Math Comput 2002, 128:4757.
    • (2002) Appl Math Comput , vol.128 , pp. 4757
    • Wazwaz, A.M.1
  • 7
    • 10044247479 scopus 로고    scopus 로고
    • Adomian decomposition method for a reliable treatment of the Emden-Fowler equation
    • Wazwaz A.M. Adomian decomposition method for a reliable treatment of the Emden-Fowler equation. Appl Math Comput 2005, 161:543-560.
    • (2005) Appl Math Comput , vol.161 , pp. 543-560
    • Wazwaz, A.M.1
  • 9
    • 34548249064 scopus 로고    scopus 로고
    • Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
    • Yildirim A., Ozis T. Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method. Phys Lett A 2007, 369:70-76.
    • (2007) Phys Lett A , vol.369 , pp. 70-76
    • Yildirim, A.1    Ozis, T.2
  • 10
    • 59049085436 scopus 로고    scopus 로고
    • Solutions of singular IVPs of Lane-Emden type by the variational iteration method
    • Yildirim A., Ozis T. Solutions of singular IVPs of Lane-Emden type by the variational iteration method. Nonlinear Anal 2009, 70:2480-2484.
    • (2009) Nonlinear Anal , vol.70 , pp. 2480-2484
    • Yildirim, A.1    Ozis, T.2
  • 11
    • 70349775507 scopus 로고    scopus 로고
    • An efficient method for solving Emden-Fowler equations
    • Shang X., Wu P., Shao X. An efficient method for solving Emden-Fowler equations. J Franklin Inst 2009, 346:889-897.
    • (2009) J Franklin Inst , vol.346 , pp. 889-897
    • Shang, X.1    Wu, P.2    Shao, X.3
  • 12
    • 34548509029 scopus 로고    scopus 로고
    • Approximate solution of a differential equation arising in astrophysics using the variational iteration method
    • Dehghan M., Shakeri F. Approximate solution of a differential equation arising in astrophysics using the variational iteration method. New Astronomy 2008, 13:53-59.
    • (2008) New Astronomy , vol.13 , pp. 53-59
    • Dehghan, M.1    Shakeri, F.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
    • Parand K., Dehghan M., Rezaeia A.R., Ghaderi S.M. An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method. Comput Phys Commun 2010, 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
    • Parand K., Shahini M., Dehghan M. Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type. J Comput Phys 2009, 228:8830-8840.
    • (2009) J Comput Phys , vol.228 , pp. 8830-8840
    • Parand, K.1    Shahini, M.2    Dehghan, M.3
  • 15
    • 70450195787 scopus 로고    scopus 로고
    • Solution of the generalized Emden-Fowler equations by the hybrid functions method
    • Tabriziodooz H., Marzban H., Razzaghi M. Solution of the generalized Emden-Fowler equations by the hybrid functions method. Phys Scr 2009, 80:025001.
    • (2009) Phys Scr , vol.80 , pp. 025001
    • Tabriziodooz, H.1    Marzban, H.2    Razzaghi, M.3
  • 16
    • 33344475567 scopus 로고    scopus 로고
    • Cubic spline for a class of nonlinear singularboundary value problems arising in physiology
    • Ravi Kanth A.S.V., Bhattacharya V. Cubic spline for a class of nonlinear singularboundary value problems arising in physiology. Appl Math Comput 2006, 174:768-774.
    • (2006) Appl Math Comput , vol.174 , pp. 768-774
    • Ravi Kanth, A.S.V.1    Bhattacharya, V.2
  • 17
    • 44249116582 scopus 로고    scopus 로고
    • One-soliton solution of the K (m,n) equation with generalized evolution
    • Biswas A. One-soliton solution of the K (m,n) equation with generalized evolution. Phys Lett A 2008, 372:4601-4602.
    • (2008) Phys Lett A , vol.372 , pp. 4601-4602
    • Biswas, A.1
  • 18
    • 58349092056 scopus 로고    scopus 로고
    • 1-Soliton solution of the generalized Camassa-Holm l-Petviashvilli equation
    • Biswas A. 1-Soliton solution of the generalized Camassa-Holm l-Petviashvilli equation. Commun Nonlinear Sci Numer Simul 2009, 14:25242527.
    • (2009) Commun Nonlinear Sci Numer Simul , vol.14 , pp. 25242527
    • Biswas, A.1
  • 19
    • 21844487864 scopus 로고
    • On the analytic solution of Lane-Emden equation
    • Adomian G., Rach R., Shawagfeh N.T. On the analytic solution of Lane-Emden equation. Found Phys Lett 1995, 8(2):161181.
    • (1995) Found Phys Lett , vol.8 , Issue.2 , pp. 161181
    • Adomian, G.1    Rach, R.2    Shawagfeh, N.T.3
  • 20
    • 0004655952 scopus 로고
    • Zur Knicldestigkeit schwach gekrlimr, ter zylindrlscher Schalen
    • Schunk T.E. Zur Knicldestigkeit schwach gekrlimr, ter zylindrlscher Schalen. Ing Arch 1933, 4:394-414.
    • (1933) Ing Arch , vol.4 , pp. 394-414
    • Schunk, T.E.1
  • 21
    • 79955977078 scopus 로고
    • A variational technique of successive approximations in application to the calculation of thin rectangular slabs
    • Stroiizdat, Moscow, [Russian], A.R. Rzhanitsin (Ed.)
    • Zhukov E.E. A variational technique of successive approximations in application to the calculation of thin rectangular slabs. Analysis of thin-walled space structure 1964, 27-35. Stroiizdat, Moscow, [Russian]. A.R. Rzhanitsin (Ed.).
    • (1964) Analysis of thin-walled space structure , pp. 27-35
    • Zhukov, E.E.1
  • 22
    • 0019550719 scopus 로고
    • Substantiation of the variational method in the theory of plates
    • Kirichenko V.F., Krys'ko V.A. Substantiation of the variational method in the theory of plates. Int Appl Mech 1981, 17(4):366-370.
    • (1981) Int Appl Mech , vol.17 , Issue.4 , pp. 366-370
    • Kirichenko, V.F.1    Krys'ko, V.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.