Steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether solutions by residual method

In this paper, two coupled nonlinear differential equations related to carbon dioxide (CO2) and phenyl glycidyl ether (PGE) concentrations are solved using a residual method. This is a particular case of the exp-function method. This model has based a set of boundary conditions for Dirichlet and a mixed set of boundary conditions for Neumann and Dirichlet. This method yields a quick converging, easily computable, and efficiently verifiable approximate closed-form solutions. The numerical result is compared with the approximate solutions obtained by this method and with the other results obtained by the Adomian decomposition method.