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The comparison between homotopy analysis method and optimal homotopy asymptotic method for nonlinear age-structured population models. (English) Zbl 1239.92075
Summary: This paper presents comparison between the 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. A 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 the HAM being the more accurate for the same number of terms. It was also found that the OHAM requires more CPU time.

MSC:
92D25 Population dynamics (general)
35A25 Other special methods applied to PDEs
35C10 Series solutions to PDEs
35Q92 PDEs in connection with biology, chemistry and other natural sciences
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