Solution of coupled system of nonlinear differential equations using homotopy analysis method

In this article, the homotopy analysis method has been applied to solve a coupled nonlinear diffusion–reaction equations. The validity of this method has been successful by applying it for these nonlinear equations. The results obtained by this method have a good agreement with one obtained by other methods. This work illustrates the validity of the homotopy analysis method for the nonlinear differential equations. The basic ideas of this approach can be widely employed to solve other strongly nonlinear problems.