# Two matrix methods for solution of nonlinear and linear Lane-Emden type equations with mixed condition by operational matrix

## DOI:

https://doi.org/10.14419/ijamr.v4i3.4052## Published:

2015-06-17## Keywords:

Bernstein polynomials, Lane-Emden type equation, Operational matrices.## Abstract

The aim of this article is to present an efficient numerical procedure for solving Lane-Emden type equations. We present two practical matrix method for solving Lane-Emden type equations with mixed conditions by Bernstein polynomials operational matrices (BPOMs) on interval [*a; b*]. This methods transforms Lane-Emden type equations and the given conditions into matrix equation which corresponds to a system of linear algebraic equations. We also give some numerical examples to demonstrate the efficiency and validity of the operational matrices for solving Lane-Emden type equations (LEEs).

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