An approximate analytical solution of non linear partial differential equation for water infiltration in unsaturated soils by combined Elzaki Transform and Adomian Decomposition Method

Abstract

The aim of the concerned paper is to describe the behaviour of the water infiltration problems in unsaturated soils. Governing equation of this phenomenon is known as Richards’ equation. The solution of the Richards’ equation has been found by Elzaki Adomian Decomposition Method. This method gives a solution in terms of convergent series. Comparison of the approximate solutions and exact solutions have been found here. MATLAB and MATHEMATICA are used to obtain numerical and graphical representation.