Abstract

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.

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