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

  • Authors

    • Behrooz Basirat Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran
    • Mohammad Amin Shahdadi Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran
    2015-06-17
    https://doi.org/10.14419/ijamr.v4i3.4052
  • Bernstein polynomials, Lane-Emden type equation, Operational matrices.

  • 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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    Basirat, B., & Shahdadi, M. A. (2015). Two matrix methods for solution of nonlinear and linear Lane-Emden type equations with mixed condition by operational matrix. International Journal of Applied Mathematical Research, 4(3), 420-429. https://doi.org/10.14419/ijamr.v4i3.4052