keywords: Elzaki transform, Homotopy Perturbation method, diffusion, partial differentiation equation
In this paper, the Elzaki Homotopy Perturbation Method which is the combination of Elzaki Transform and Homotopy Perturbation Method was applied in solving convection-diffusion problems which emerges in physical phenomena where particles and other quantities were transferred within a physical system as a result of diffusion and convection. Three examples were solved by this proposed method to obtain the approximate solutions of respective examples and the results obtained were compared with other existing exact solutions. It was confirmed that the result of the proposed method agrees perfectly with results obtained by other methods.