keywords: Convection-diffusion equations, linear, Mahgoub Transform, partial derivatives
This study focused on linear convection-diffusion problems with constant coefficients with a view of providing the solution with the help of Mahgoub Transform. Convection-diffusion problems can be used to model the behavior of flow phenomena such as momentum and heat, and as well describe the diffusion process in environmental science, such as pollutant transport in the atmosphere, oceans, lakes, rivers or groundwater. Two illustrative examples were considered and Mahgoub Transform method was used to obtain the approximate solutions of the respective examples. The results obtained by the method were compared with the already existing exact solutions and were found to be reliable as the comparison shows a perfect agreement. It was therefore recommended that Mahgoub Transform method can be applied to solve any other linear convection-diffusion problems with constant coefficients.