Optimal Parameters for Nonlinear Hirota-Satsuma Coupled KdV System by Using Hybrid Firefly Algorithm with Modified Adomian Decomposition | Zendy

Omar Saber Qasim | Zendy; Karam Adel Abed | Zendy; Ahmed Farooq Qasim | Zendy

Open Access

Optimal Parameters for Nonlinear Hirota-Satsuma Coupled KdV System by Using Hybrid Firefly Algorithm with Modified Adomian Decomposition

Author(s) -

Omar Saber Qasim,

Karam Adel Abed,

Ahmed Farooq Qasim

Publication year - 2020

Publication title -

journal of mathematical and fundamental sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.216

H-Index - 12

eISSN - 2337-5760

pISSN - 2338-5510

DOI - 10.5614/j.math.fund.sci.2020.52.3.7

Subject(s) - adomian decomposition method , firefly algorithm , mathematics , nonlinear system , decomposition , korteweg–de vries equation , firefly protocol , algorithm , mathematical optimization , mathematical analysis , partial differential equation , physics , particle swarm optimization , chemistry , quantum mechanics , biology , zoology , organic chemistry

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.

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