نتایج جستجو برای: lane emden type equations

تعداد نتایج: 1562204  

Journal: :J. Applied Mathematics 2012
Changqing Yang Jianhua Hou

A numerical method to solve Lane-Emden equations as singular initial value problems is presented in this work. This method is based on the replacement of unknown functions through a truncated series of hybrid of block-pulse functions and Chebyshev polynomials. The collocation method transforms the differential equation into a system of algebraic equations. It also has application in a wide area...

The Chebyshev finite difference method is applied to solve a system of two coupled nonlinear Lane-Emden differential equations arising in mathematical modelling of the excess sludge production from wastewater treatment plants. This method is based on a combination of the useful properties of Chebyshev polynomials approximation and finite difference method. The approach consists of reducing the ...

2009
José F. Cariñena Javier de Lucas

The recently developed theory of quasi-Lie schemes is studied and applied to investigate several equations of Emden type and a scheme to deal with them and some of their generalisations is given. As a first result we obtain t-dependent constants of the motion for particular instances of Emden equations by means of some of their particular solutions. Previously known results are recovered from t...

Journal: :Journal of Mathematical Analysis and Applications 2007

2015
Juhi Jang Ian Tice

The stability question of the Lane-Emden stationary gaseous star configurations is an interesting problem arising in astrophysics. We establish both linear and nonlinear dynamical instability results for the Lane-Emden solutions in the framework of the Navier-Stokes-Poisson system with adiabatic exponent 6/5 < γ < 4/3.

Journal: :Communications in Mathematics 2022

In this paper, we propose a method for solving some classes of the singular fractional nonlinear Lane-Emden type equations. The is proposed by utilizing second-kind Chebyshev wavelets in conjunction with quasilinearization technique. operational matrices are used. tested on standard equation, isothermal gas spheres and other examples. We compare results produced present well-known to show accur...

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