Two matrix methods for solution of nonlinear and linear LaneEmden type equations with mixed condition by operational matrix

20150617 https://doi.org/10.14419/ijamr.v4i3.4052 
Bernstein polynomials, LaneEmden type equation, Operational matrices. 
The aim of this article is to present an efficient numerical procedure for solving LaneEmden type equations. We present two practical matrix method for solving LaneEmden type equations with mixed conditions by Bernstein polynomials operational matrices (BPOMs) on interval [a; b]. This methods transforms LaneEmden 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 LaneEmden type equations (LEEs).

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How to Cite
Basirat, B., & Shahdadi, M. A. (2015). Two matrix methods for solution of nonlinear and linear LaneEmden type equations with mixed condition by operational matrix. International Journal of Applied Mathematical Research, 4(3), 420429. https://doi.org/10.14419/ijamr.v4i3.4052