Application of differential transformation to transient advective–dispersive transport equation

摘要

In this paper, a simulation method called the differential transform or Taylor transform method is employed to predict the advective–dispersive transport problems. Such problems are usually met when dealing with the contaminant transport in groundwater. The differential transform method is introduced briefly. A hybrid method of differential transform and finite difference method is employed to solve the transient advective–dispersive transport problems. The parameters of the equation are varied and different kinds of input sources are engaged to verify that the differential transform method is suitable for the problem. Some simulation results are illustrated and discussed in compare with the analytic solutions. The results show that the differential transform method can achieve good results in predicting the solution of such problems.