Article history: Received 15 December 2010 Received in revised form 21 April 2011 Accepted 24 April 2011 Available online 4 May 2011

Here, a simple method to determine the rate of convergence of Adomian decomposition method is introduced. The proposed method is used to compare between the rate of convergence of standard and modified (proposed by Wazwaz [A.M. Wazwaz, A new method for solving singular initial value problems in the second-order ordinary differential equations, Appl. Math. Comput. 128 (2002) 45–57]) Adomian meth...

We analyze the effects of modified gravity on specific heats electrons and ions, Debye temperature, crystallization process, cooling mechanism in white dwarfs. derive Lane-Emden-Chandrasekhar equation relate it to process equations for Palatini $f(R)$ gravity. Moreover, first time literature, we show that model plays a crucial role not only mass size dwarf, but also affects their internal prope...