Hybridization of Genetic Algorithm with Homotopy Analysis Method for Solving Fractional Partial Differential Equations

Authors: Ahmed Entesar1 & Omar Saber2 & Waleed Al-Hayani3
1&2&3Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Iraq

Abstract:  In this work, the Homotopy Analysis Method (HAM) is applied to solve fractional Partial Differential Equations (PDEs). The solution of HAM has improved the results by using Genetic Algorithm (GA). The hybrid method (proposed) is applied for types of problems where analytical solutions approximate are obtained. Numerical experiments are also presented.

Keywords: Homotopy Analysis Method (HAM), Genetic Algorithm (GA), Heat Like Equations, Wave Like Equations, Fractional Calculus

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doi: 10.23918/eajse.v4i2p19


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