A method to solve Convection-Diffusion equation based on homotopy analysis method

In this paper, the homotopy analysis method (HAM) is considered to find the series solution of the linear Convection Diffusion (CD) equation. For this purpose, an algorithm is constructed based on the HAM and the convergence theorem is proved to warrant the series solution obtain from the HAM converges to the exact solution of the equation. Three examples are solved based on the proposed method to illustrate the efficiency and applicability of the HAM to solve the CD equation.