An efficient method for solving Emden-Fowler equations

[1]  O. Richardson.  The Emission of Electricity from Hot Bodies , 2007, Nature.

[2]  H. Poincaré,et al.  Les Méthodes nouvelles de la Mécanique céleste and An Introduction to the Study of Stellar Structure , 1958 .

[3]  H. Davis.  Introduction to Nonlinear Differential and Integral Equations , 1964 .

[4]  N. Shawagfeh.  Nonperturbative approximate solution for Lane–Emden equation , 1993 .

[5]  George Adomian,et al.  Solution of physical problems by decomposition , 1994 .

[6]  Ji-Huan He.  Approximate solution of nonlinear differential equations with convolution product nonlinearities , 1998 .

[7]  Ji-Huan He.  Approximate analytical solution for seepage flow with fractional derivatives in porous media , 1998 .

[8]  Ji-Huan He.  Variational iteration method – a kind of non-linear analytical technique: some examples , 1999 .

[9]  Ji-Huan He,et al.  Variational iteration method for autonomous ordinary differential systems , 2000, Appl. Math. Comput..

[10]  Abdul-Majid Wazwaz,et al.  The Numerical Solution of Special Fourth-Order Boundary Value Problems by the Modified Decomposition Method , 2000, Neural Parallel Sci. Comput..

[11]  Abdul-Majid Wazwaz,et al.  A new algorithm for solving differential equations of Lane-Emden type , 2001, Appl. Math. Comput..

[12]  Abdul-Majid Wazwaz,et al.  A new method for solving singular initial value problems in the second-order ordinary differential equations , 2002, Appl. Math. Comput..

[13]  Abdul-Majid Wazwaz,et al.  Adomian decomposition method for a reliable treatment of the Emden-Fowler equation , 2005, Appl. Math. Comput..

[14]  Abdul-Majid Wazwaz,et al.  Analytical solution for the time-dependent Emden-Fowler type of equations by Adomian decomposition method , 2005, Appl. Math. Comput..

[15]  Ji-Huan He.  SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS , 2006 .

[16]  Ji-Huan He,et al.  Construction of solitary solution and compacton-like solution by variational iteration method , 2006 .

[17]  Abdul-Majid Wazwaz,et al.  The modified decomposition method for analytic treatment of differential equations , 2006, Appl. Math. Comput..

[18]  A. Wazwaz.  A comparison between the variational iteration method and Adomian decomposition method , 2007 .

[19]  Mehdi Dehghan,et al.  On the convergence of He's variational iteration method , 2007 .

[20]  I. Hashim,et al.  Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method , 2007 .

[21]  Ji-Huan He.  Variational iteration method—Some recent results and new interpretations , 2007 .

[22]  Mehdi Dehghan,et al.  ON THE CONVERGENCE OF HES VARIATIONAL ITERATION METHOD , 2007 .

[23]  Nasser Hassan Sweilam,et al.  Variational iteration method for solving cubic nonlinear Schrödinger equation , 2007 .

[24]  Ji-Huan He,et al.  Variational iteration method: New development and applications , 2007, Comput. Math. Appl..

[25]  L. Assas,et al.  Variational iteration method for solving coupled-KdV equations , 2008 .

[26]  Ji-Huan He.  AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING , 2008 .

[27]  Ji-Huan He,et al.  Beyond Adomian method: The variational iteration method for solving heat-like and wave-like equations with variable coefficients , 2008 .

[28]  Subir Das,et al.  Solution of Fractional Vibration Equation by the Variational Iteration Method and Modified Decomposition Method , 2008 .

[29]  M. Noor,et al.  Variational Iteration Method for Solving Higher-order Nonlinear Boundary Value Problems Using He's Polynomials , 2008 .

[30]  Muhammad Aslam Noor,et al.  Variational iteration method for solving sixth-order boundary value problems , 2009 .

[31]  Md. Sazzad Hossien Chowdhury,et al.  Solutions of Emden-Fowler equations by homotopy-perturbation method , 2009 .

[32]  Mohd. Salmi Md. Noorani,et al.  Variational iteration method for fractional heat- and wave-like equations , 2009 .