Approximations of analytical solutions for seepage flow Derivatives in porous media using fractional calculus

Abstract

In this thesis the variational iteration method is implemented to give exact solutions for seepage flow derivatives in porous media. A correction functional for the fractional partial equation is well constructed by a general Lagrange multipliers which can be identified optimally via variational theory. Some examples are given and comparisons are made with the Adomian Decomposition Method (ADM).The comparisons show that the method is very effective ,convenient and overcome the difficulty arising in calculating Adomian polynomials andwe have solved seepage flow derivatives in porous media by using the Adomian Decomposition method(ADM). Our solution proved rapid convergence to the exact solution.