An iterative method for calculating carbon dioxide absorbed into phenyl glycidyl ether

Abstract

In this paper, the system of two coupled nonlinear ordinary differential equations is solved by using an iterative method (DJM) which represent the condensations of carbon dioxide ($CO_{2}$) and phenyl glycidyl ether (PGE). There are two types of boundary conditions in this system are Dirichlet type and the other is a mixed set of Neumann and Dirichlet type. The solution obtained by DJM is an approximate solution with rapid convergence. The results are compare with the other results obtained by variation iteration method (VIM) and Adomian decomposition method (ADM), detects that the numerical solution obtained by DJM is equal to solution obtained by VIM and converge faster than Adomian's method. All our calculations obtained from using the software Mathematica 9.