Modification of Semi-Analytical Method Applied System of ODE

OPhir Nave

Modern Applied Science, 2020, vol. 14, issue 6, 75

Abstract: In this study, we modify the well-known semi-analytical method called the Homotopy Analysis Method (HAM), such that the right-hand side of a given ODE system is decomposed to a sum of analytical functions. We called the new semi-analytical method- decomposition of the Homotopy Analysis Method (DHAM). We applied the new method to a breast cancer mathematical model. We compared the DHAM results to HAM and numerical simulations. We concluded that the DHAM results are closer to the numerical simulation results than the HAM.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:masjnl:v:14:y:2020:i:6:p:75

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