Analytical treatment for solving a class of Lane-Emden equations

DOI10.1007/S40819-014-0020-8zbMath1398.65199OpenAlexW1988792771MaRDI QIDQ722629

D. Kharzeev

Publication date: 27 July 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-014-0020-8

zbMATH Keywords

nonlinearityLane-Emden equationADM

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99)

Cites Work

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• On the solution of the fractional nonlinear Schrödinger equation
• Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
• Solving frontier problems of physics: the decomposition method
• A new analytic algorithm of Lane--Emden type equations
• New ideas for proving convergence of decomposition methods
• The exact and numerical solitary-wave solutions for generalized modified Boussinesq equation
• The variational iteration method for solving the Volterra integro-differential forms of the Lane-Emden equations of the first and the second kind
• Analytic solution of nonlinear boundary-value problems in serveral dimensions by decomposition
• Application of modified decomposition method for the analytical solution of space fractional diffusion equation
• Exact solutions of the generalized Lane–Emden equation
• Nonperturbative approximate solution for Lane–Emden equation
• Convergence of Adomian's Method
• New results of convergence of Adomian’s method

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