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Ahmed F. Qasim
Department of Mathematics, University of Mosul, Mosul
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Optimal Parameters for Nonlinear Hirota-Satsuma Coupled KdV System by Using Hybrid Firefly Algorithm with Modified Adomian Decomposition Omar Saber Qasim; Karam Adel Abed; Ahmed F. Qasim
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 3 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.3.7

Abstract

In this paper, several parameters of the non-linear Hirota-Satsuma coupled KdV system were estimated using a hybrid between the Firefly Algorithm (FFA) and the Modified Adomian decomposition method (MADM). It turns out that optimal parameters can significantly improve the solutions when using a suitably selected fitness function for this problem. The results obtained show that the approximate solutions are highly compatible with the exact solutions and that the hybrid method FFA_MADM gives higher efficiency and accuracy compared to the classic MADM method.
Co-Authors Karam Adel Abed Omar Saber Qasim