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

Authors

  • Omar Saber Qasim Department of Mathematics, University of Mosul, Mosul
  • Karam Adel Abed Department of Mathematics, University of Mosul, Mosul
  • Ahmed F. Qasim Department of Mathematics, University of Mosul, Mosul

DOI:

https://doi.org/10.5614/j.math.fund.sci.2020.52.3.7

Keywords:

Hirota-Satsuma coupled kdv, Adomian decomposition method, firefly algorithm

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.

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Published

2020-12-31

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