In this paper, variational iteration method is employed to solve the homogenous Smoluchowski coagulation equation. The intervals of validity of the solutions will be extended by using Pade approximation. Error will be decrease, as it is expected. The numerical results show the effectiveness and the simplicity of the methods. Figure 1: (a,b): Plots of example 1. (c): Plot of VIM-Pade approximation. (d): Plot of absolute error of VIMapproximation. (e): Plot of absolute error of VIM-Pade

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... ion. (f): VIM approximation at time. (g,h): At time VIM approximation at time. (i): Plot of absolute error of VIM-Pade approximation at time. (j): Plot of absolute error of VIM Pade approximation at time. (k): Plot of absolute error of VIM-Pade approximation at time.