Comparative Study of Three Numerical Schemes for Contaminant Transport with Kinetic Langmuir Sorption.

In this paper, we consider a contaminant transport model with Langmuir sorption under nonequilibrium conditions which is described by two coupled equations. Three numerical methods are used namely; Euler scheme forward in space, Euler scheme backward in space and nonstandard finite difference (NSFD) schemes. We compare the performance of the three methods by computing some errors: L1 error, dispersion and dissipation errors for both coarse and fine grids and short and long propagation times. We also perform a spectral analysis of the dispersive and dissipative properties of the three methods for the transport model. [ABSTRACT FROM AUTHOR]