Title: A hybrid flower pollination algorithm for solving ill-conditioned set of equations

Authors: Mohamed Abdel-Baset; Ibrahim M. Hezam

Addresses: 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 novel technique to solve the ill-conditioned system of linear and nonlinear equations. The aim of hybridisation is to combine the feature of flower pollination algorithm (FPA) and conjugate direction (CD) method. Flower pollination algorithm is employed for fast convergence and finds more than one root as well as CD method is used to increase the accuracy of the final results and avoids falling into local minima. Conjugate direction flower pollination algorithm (CDFPA) will be used to solve system of linear equations. The proposed algorithm retained the global search capability with more accurate and faster convergence. Numerical simulation results of all tested problems show that the proposed algorithm proved to be superior in convergence efficiency, and computational accuracy.

Keywords: flower pollination algorithm; FPA; conjugate direction; ill-conditioned systems; linear equations; nonlinear equations; numerical simulation.

DOI: 10.1504/IJBIC.2016.078662

International Journal of Bio-Inspired Computation, 2016 Vol.8 No.4, pp.215 - 220

Received: 16 Jun 2015
Accepted: 16 May 2016
Published online: 30 Aug 2016 *

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