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      Permanent link:
      https://www.ias.ac.in/article/fulltext/joaa/040/03/0027

    • 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

       

      ABBAS SAADATMANDI1 AZAM GHASEMI-NASRABADY1 ALI EFTEKHARI1

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

       
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