The comparison between Homotopy Analysis Method and Optimal Homotopy Asymptotic Method for nonlinear age-structured population models

This paper presents comparison between Homotopy Analysis Method (HAM) and Optimal Homotopy Asymptotic Method (OHAM) for the solution of nonlinear age-structured population models. Three examples have been presented to illustrate and compare these methods. In OHAM the convergence region can be easily adjusted and controlled. Comparison between our solution and the exact solution shows that the both methods are effective and accurate in solving nonlinear age-structured population models with HAM being the more accurate for the same number of terms. It was also found that OHAM require more CPU time.

► Analytical solution of age-structured population models is presented.
► Homotopy Analysis Method (HAM) and Optimal Homotopy Asymptotic Method (OHAM) are utilized.
► Comparison with the more established HAM is provided.
► Several examples are given to demonstrate the efficiency of the methods.