Numerical Solution of One-Dimensional Finite Solute Transport System with First Type Source Boundary Condition

Abstract

In this article, Chebyshev collocation method is used to reduce the one-dimensional advection–dispersion equation having source/sink term with given boundary conditions and initial condition into a system of ordinary differential equations which are solved using finite difference method. The solution profile of normalized solute concentration factor for both conservative and non-conservative systems are calculated numerically which are presented through graphs for different particular cases. The salient feature of this article is the comparison of the trend of numerical solution with the existing analytical solution thereby validating our considered numerical technique. © 2016, Springer India Pvt. Ltd.