Numerical Solution of Singular Lane-Emden Equation-Reference-Cited by-同舟云学术

Numerical Solution of Singular Lane-Emden Equation

Published:2013-08-22 Issue: Volume:2013 Page:1-9
ISSN:2090-4681
Container-title:ISRN Mathematical Physics
language:en
Short-container-title:ISRN Mathematical Physics

Author:

Aminikhah Hossein¹^ORCID,Moradian Sakineh¹

Affiliation:

1. Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht 41938, Iran

Abstract

A new approach for solving the nonlinear Lane-Emden type equations has been proposed. The method is based on Legendre wavelets approximations. Illustrative examples have been discussed to demonstrate the validity and applicability of the technique, and the results have been compared with the exact solution.

Publisher

Hindawi Limited

Subject

General Medicine

Link

http://downloads.hindawi.com/archive/2013/507145.pdf

Reference23 articles.

1. A new perturbative approach to nonlinear problems

2. A quasilinearization method for a class of second order singular nonlinear differential equations with nonlinear boundary conditions

3. Nonperturbative approximate solution for Lane–Emden equation

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