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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.

92D25Population dynamics (general)
35A25Other special methods (PDE)
35C10Series solutions of PDE
35Q92PDEs in connection with biology and other natural sciences
Full Text: DOI
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