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.v4i3.4052Keywords:
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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Received date: December 19, 2014
Accepted date: June 17, 2015
Published date: June 17, 2015