Generalized Laguerre Polynomials Collocation Method for Solving Lane-Emden Equation

نویسندگان

  • K. Parand
  • A. Taghavi
چکیده

In this paper we propose, a collocation method for solving nonlinear singular Lane-Emden equation which is a nonlinear ordinary differential equation on semi-infnite interval. This approach is based on a generalized Laguerre polynomial collocation method. This method reduces the solution of this problem to the solution of a system of algebraic equations.We also present the comparison of this work with some well-known results and show that the present solution is highly accurate. Mathematics Subject Classification: 05E35, 37C10

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تاریخ انتشار 2008