Title: Solving systems of nonlinear equations via conjugate direction flower pollination algorithm

Authors: Ehab Rushdy; Mohamed Abdel-Baset; Ibrahim M. Hezam

Addresses: Department of Information Technology, Faculty of Computers and Informatics, Zagazig University, El-Zera Square, Zagazig, Sharqiyah, Egypt ' Department of Operations Research, Faculty of Computers and Informatics, Zagazig University, El-Zera Square, Zagazig, Sharqiyah, Egypt ' Department of Mathematics and Computer, Faculty of Education, Ibb University, Yemen

Abstract: In this paper, we propose a new hybrid algorithm for solving system of nonlinear equations. The aim of hybridisation is to utilise the feature of flower pollination algorithm (FPA) and conjugate direction method (CD). Conjugate direction flower pollination algorithm (CDFPA) combines the advantages of CD and FPA. The problem of solving nonlinear equations is equivalently changed to the problem of function optimisation and then a solution is obtained by CDFPA. The results show the proposed algorithm has high convergence speed and accuracy for solving nonlinear equations.

Keywords: flower pollination algorithm; FPA; meta-heuristics; optimisation; conjugate direction method; nonlinear equations.

DOI: 10.1504/IJCSM.2017.085732

International Journal of Computing Science and Mathematics, 2017 Vol.8 No.3, pp.201 - 209

Received: 06 Apr 2016
Accepted: 13 Feb 2017
Published online: 10 Aug 2017 *

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