Solution of Lane-Emden Equation with Fourier Decomposition Method
نویسندگان
چکیده
In this article, we tried to get the solution of a class Lane Emden type equations by using Fourier Decomposition Method. This method is obtained transform and Adomian (FADM) together.
منابع مشابه
Lane-Emden Equation: perturbation method
The perturbation method is applied to numerical solution of the Lane-Emden Equation (LEE)of arbitrary index n, and the global parameters of polytropes are found as function of polytropic index n.
متن کاملNumerical Solution of the Lane-Emden Equation Based on DE Transformation via Sinc Collocation Method
In this paper, numerical solution of general Lane-Emden equation via collocation method based on Double Exponential DE transformation is considered. The method converts equation to the nonlinear Volterra integral equation. Numerical examples show the accuracy of the method. Also, some remarks with respect to run-time, computational cost and implementation are discussed.
متن کاملSolution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method
The application of a new modified Adomian decomposition method for obtaining the analytic solution of Lane-Emden type equations is investigated. The proposed method, called the spectral Adomian decomposition method, is based on a combination of spectral method and Adomian decomposition method. A comparative study between the proposed method and Adomian decomposition method is presented. The obt...
متن کاملGeneralized Laguerre Polynomials Collocation Method for Solving Lane-Emden Equation
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 wo...
متن کاملVariational approach to the Lane-Emden equation
By the semi-inverse method, a variational principle is obtained for the Lane–Emden equation, which gives much numerical convenience when applying finite element methods or Ritz method. 2002 Elsevier Science Inc. All rights reserved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Süleyman demirel üniversitesi fen-edebiyat fakültesi fen dergisi
سال: 2022
ISSN: ['1306-7575']
DOI: https://doi.org/10.29233/sdufeffd.978260