Perturbed Collocation Method For Solving Singular Multi-order Fractional Differential Equations of Lane-Emden Type
نویسندگان
چکیده
منابع مشابه
Rational Chebyshev Collocation Method for Solving Nonlinear Ordinary Differential Equations of Lane-emden Type
Lane-Emden equation is a nonlinear singular equation that plays an important role in the astrophysics. In this paper, we have applied the collocation method based on rational Chebyshev functions to solve Lane-Emden type equations. The method reduces solving the nonlinear ordinary differential equation to solving a system of nonlinear algebraic equations. The comparison of the results with the o...
متن کاملNumerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation
Lane-Emden differential equations of order fractional has been studied. Numerical solution of this type is considered by collocation method. Some of examples are illustrated. The comparison between numerical and analytic methods has been introduced.
متن کاملA spectral method based on Hahn polynomials for solving weakly singular fractional order integro-differential equations
In this paper, we consider the discrete Hahn polynomials and investigate their application for numerical solutions of the fractional order integro-differential equations with weakly singular kernel .This paper presented the operational matrix of the fractional integration of Hahn polynomials for the first time. The main advantage of approximating a continuous function by Hahn polynomials is tha...
متن کاملUltraspherical Wavelets Method for Solving Lane-emden Type Equations
In this paper, a new shifted ultraspherical wavelets operational matrix of derivatives is introduced. The two wavelets operational matrices, namely Legendre and first kind Chebyshev operational matrices can be deduced as two special cases. Two numerical algorithms based on employing the shifted ultraspherical wavelets operational matrix of derivatives for solving linear and nonlinear differenti...
متن کاملA Jacobi–Gauss collocation method for solving nonlinear Lane–Emden type equations
Article history: Received 15 December 2010 Received in revised form 21 April 2011 Accepted 24 April 2011 Available online 4 May 2011
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: Journal of the Nigerian Society of Physical Sciences
سال: 2020
ISSN: 2714-4704,2714-2817
DOI: 10.46481/jnsps.2020.69