The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models
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Lima, 2010, Numerical modeling of oxygen diffusion in cells with Michaelis–Menten uptake kinetics, J Math Chem, 48, 145, 10.1007/s10910-009-9646-x
Komar, 2010, Modified Adomian decomposition method and computer implementation for solving singular boundary value problems arising in various physical problems, Comput Chem Eng, 34, 1750, 10.1016/j.compchemeng.2010.02.035
Khuri, 2010, A novel approach for the solution of a class of singular boundary value problems arising in physiology, Math Comput Model, 52, 626, 10.1016/j.mcm.2010.04.009
Wazwaz, 2005, Analytical solution for the time-dependent Emden–Fowler type of equations by Adomian decomposition method, Appl Math Comput, 166, 638, 10.1016/j.amc.2004.06.058
Wazwaz, 2001, A new method for solving differential equations of the Lane–Emden type, Appl Math Comput, 118, 287310
Wazwaz, 2002, A new method for solving singular initial value problems in the second order ordinary differential equations, Appl Math Comput, 128, 4757, 10.1016/S0096-3003(01)00021-2
Wazwaz, 2005, Adomian decomposition method for a reliable treatment of the Emden–Fowler equation, Appl Math Comput, 161, 543, 10.1016/j.amc.2003.12.048
Wazwaz, 2009
Yildirim, 2007, Solutions of singular IVPs of Lane–Emden type by homotopy perturbation method, Phys Lett A, 369, 70, 10.1016/j.physleta.2007.04.072
Yildirim, 2009, Solutions of singular IVPs of Lane–Emden type by the variational iteration method, Nonlinear Anal, 70, 2480, 10.1016/j.na.2008.03.012
Shang, 2009, An efficient method for solving Emden–Fowler equations, J Franklin Inst, 346, 889, 10.1016/j.jfranklin.2009.07.005
Dehghan, 2008, Approximate solution of a differential equation arising in astrophysics using the variational iteration method, New Astronomy, 13, 53, 10.1016/j.newast.2007.06.012
Parand, 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, 10.1016/j.cpc.2010.02.018
Parand, 2009, Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane–Emden type, J Comput Phys, 228, 8830, 10.1016/j.jcp.2009.08.029
Tabriziodooz, 2009, Solution of the generalized Emden–Fowler equations by the hybrid functions method, Phys Scr, 80, 025001, 10.1088/0031-8949/80/02/025001
Ravi Kanth, 2006, Cubic spline for a class of nonlinear singularboundary value problems arising in physiology, Appl Math Comput, 174, 768, 10.1016/j.amc.2005.05.022
Biswas, 2008, One-soliton solution of the K (m,n) equation with generalized evolution, Phys Lett A, 372, 4601, 10.1016/j.physleta.2008.05.002
Biswas, 2009, 1-Soliton solution of the generalized Camassa–Holm l-Petviashvilli equation, Commun Nonlinear Sci Numer Simul, 14, 25242527
Adomian, 1995, On the analytic solution of Lane–Emden equation, Found Phys Lett, 8, 161181, 10.1007/BF02187585
Schunk, 1933, Zur Knicldestigkeit schwach gekrlimr, ter zylindrlscher Schalen, Ing Arch, 4, 394, 10.1007/BF02081563
Zhukov, 1964, A variational technique of successive approximations in application to the calculation of thin rectangular slabs, 27
Kirichenko, 1981, Substantiation of the variational method in the theory of plates, Int Appl Mech, 17, 366