Open AccessTwo matrix methods for solution of nonlinear and linear Lane-Emden type equations with mixed condition by operational matrix
Author(s) -
Behrooz Basirat,
Mohammad Amin Shahdadi
Publication year - 2015
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v4i3.4052
Subject(s) - mathematics , matrix (chemical analysis) , type (biology) , nonlinear system , mathematical analysis , chromatography , ecology , physics , quantum mechanics , biology , chemistry
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).