In hydrology and soil sciences, infiltration is the process by which water on the ground surface enters the soil, and is described mathematically by Richard's equation. The present paper applies the reduced differential transform method to find the approximate analytical solution of Richard’s equation describing infiltration phenomena in porous media. Some standard cases of Richard’s equation are discussed to demonstrate the effectiveness and reliability of the method. Comparing approximate analytical solutions obtained by RDTM with exact solutions shows that the proposed method is reliable and accurate and can be applied for solving practical scientific and technological problems. The results obtained are also compared with the analytical solution obtained by some well-known methods available in the literature. The proposed approach does not need any linearization, discretization, or perturbation parameters to obtain the solution for non-linear PDE, and its direct applicability reduces numerical computation. Convergence analysis and error estimation of the approximate solution of Richard’s equation is also addressed in this research.
