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    • Keywords


      Fractional Lane–Emden type equations; orthonormal Bernstein polynomials; operational matrices; collocation method; Caputo derivative.

    • Abstract


      The well-known Lane–Emden equation plays an important role in describing some phenomena in mathematical physics and astrophysics. Recently, a new type of this equation with fractional order derivative in the Caputo sense has been introduced. In this paper, two computational schemes based on collocation method with operational matrices of orthonormal Bernstein polynomials are presented to obtain numerical approximate solutions of singular Lane–Emden equations of fractional order. Four illustrative examples are implemented inorder to verify the efficiency and demonstrate solution accuracy.

    • Author Affiliations



      1. Department of Applied Mathematics, University Kashan, Kashan 87317-53153, Iran.
    • Dates

  • Journal of Astrophysics and Astronomy | News

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