Applications of Variational Iteration Method in Applied Hydrology

Due to rapid developments in computational mechanics, various advanced numerical and analytical methods for simulation of differential equations in applied science have been proposed. Variational iteration method (VIM) and its developments are a class of exact solutions which are mostly implemented in applied physics. The present paper focuses on three hydrological phenomena, namely surface infiltration equation (Green-Ampt equation), surface water simulation (fully dynamic equation), and fully infiltration equation (Richards' equation) and their exact solution with VIM and its modified version presented by Padeacute approximation. The possibility of the application of this type of mathematical approach in applied hydrology has been studied and comparison demonstrates competent developments in physics and applied physics solution procedures.