Abstract This paper examines the general formalism and applications of isotropic as well anisotropic polytropic stars in curvature-matter coupled gravity. For this purpose, we consider static spherical Schwarzschild spacetimes interior exterior regions, respectively. We use two equations state to obtain physically viable solutions field equations. The hydrostatic equilibrium Lane-Emden are deve...

The general conditions under which the quadratic, uniform and monotonic convergence in the quasilinearization method could be proved are formulated and elaborated. The method, whose mathematical basis in physics was discussed recently by one of the present authors (VBM), approximates the solution of a nonlinear differential equation by treating the nonlinear terms as a perturbation about the li...

Abstract In the present paper, we will incorporate three very useful aspects of astrophysics, generalized polytropes, Karmarkar condition and complexity factor to study compact objects. For this purpose a charged anisotropic fluid distribution is used under static spherical symmetry. We develop framework for class I Lane–Emden equations non-isothermal isothermal regimes. Generalized polytropic ...

Article history: Received 28 May 2010 Available online 16 September 2010 Submitted by Goong Chen

In this article, we present a collocation method for second-order nonlinear Lane-Emden type pantograph differential equations under intial conditions. According to the method, solution of problem is sought depending on Pell-Lucas polynomials. The polynomials are written in matrix form based standard bases. Then, and its derivatives also forms. Next, transformation constituted proportion delay f...