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Modification of Semi-Analytical Method Applied System of ODE

Author

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  • OPhir Nave

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.

Suggested Citation

  • OPhir Nave, 2020. "Modification of Semi-Analytical Method Applied System of ODE," Modern Applied Science, Canadian Center of Science and Education, vol. 14(6), pages 1-75, June.
    • Handle: RePEc:ibn:masjnl:v:14:y:2020:i:6:p:75
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    Citations

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    Cited by:

    1. Gufran Abass & Suha Shihab, 2023. "Operational Matrix of New Shifted Wavelet Functions for Solving Optimal Control Problem," Mathematics, MDPI, vol. 11(14), pages 1-14, July.
    2. Abdullah Marish Ali & Fahad Alqurashi & Fawaz Jaber Alsolami & Sana Qaiyum, 2023. "A Double-Layer Indemnity Enhancement Using LSTM and HASH Function Technique for Intrusion Detection System," Mathematics, MDPI, vol. 11(18), pages 1-25, September.
    3. Loriana Andrei & Vasile-Aurel Caus, 2024. "Subordinations Results on a q -Derivative Differential Operator," Mathematics, MDPI, vol. 12(2), pages 1-20, January.

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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