Zeitschrift für Angewandte und Computermathematik

Convection Dispersion Equation: Mathematical Solution

Abstract

Rustam Mardanov

The Convection-Dispersion Equation (CDE) stands as a fundamental mathematical framework extensively utilized in various fields, including fluid dynamics, environmental engineering, and hydrogeology. It describes the transport of solutes in fluid media, considering both advective flow and dispersive processes. This essay delves into the mathematical solutions of the CDE, exploring analytical, numerical, and experimental methodologies. Through this exploration, we aim to gain a comprehensive understanding of the equation's behaviour and its implications in practical applications, The convection-dispersion equation also known as the advection-diffusion equation, is a partial differential equation governing the transport of solutes in a moving fluid. It arises in a myriad of disciplines, ranging from contaminant transport in groundwater to drug dispersion in biological systems. The equation encapsulates both advective and dispersive processes, making it a powerful tool for modelling real-world phenomena.