The Iterative Method for Solving Non-Linear Equations

Subject Areas : Applied Mathematics

Parvaneh Mansouri ¹

1 - Department of Computer Science, Arak Brancg, Islamic Azad Univeristy, Arak, Iran branch

Received: 2019-04-08 Accepted : 2019-04-08 Published : 2019-05-01

Keywords:

References:

[1] N. Ahmad and V. P. Singh. A New Iterative Method for Solving Non Linear Equations Using Simpson Method, International Journal of Mathematics And Its Applications. Vol. 5, Issue 4-B, pp. 189-193, 2017.

[2] D. T. Pham and D. Karaboga. Intelligent Optimisation Techniques.
Springer, London, 2000.

[3] Xin-She Yang. Nature-Inspired Metaheuristic Algorithms, Luniver Press, 2008

[4] J. Dreo and P. Siarry. Alain Petrowski and Eric Taillard, Metaheuristics for Hard Optimization, Springer Berlin Heidelberg, pp. 1-19, 2006.

[5] D. Karaboga. An Idea Based On Honey Bee Swarm for Numerical Optimization. Technical Report-TR06, Erciyes University, Engineering Faculty, Computer Engineering Department, 2005.

[6] D. Karaboga and B. Basturk. A powerful and ecient algorithm for numerical function optimization: Articial Bee Colony (ABC) algorithm. Journal of Global Optimization,Vol. 39 , pp.459-471, 2007.

[7] D. Karaboga and B. Basturk. On the performance of Articial Bee Colony (ABC) algorithm. Applied Soft Computing. Vol.8, pp. 687-697, 2008.

[8] A. Baykaso. L. zbakr and P.Tapkan. Articial Bee Colony Algorithm and Its Application to Generalized Assignment Problem. Swarm Intelligence, Focus on Ant and Particle Swarm Optimization, Book edited by: Felix T. S. Chan and Manoj Kumar Tiwari, ISBN 978-3-902613-09-7, Itech Education and Publishing, Vienna, Austria, pp. 532, December 2007

[9] R. Storn. K. Price. Dierential evolution A simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization, Vol.23, pp.689-694, 2010.

[10] P. Mansouri. B. Asady and N.Gupta. A Novel Iteration Method for solve Hard Problems( Nonlinear Equations) with Articial Bee Colony algorithm. World Academy of Science, Engineering and Technology, Vol. 59, pp. 594-596, 2011.

[11] J.H.Holland. Adaptation in Natural and Articial Systems. University of Michigan Press, Ann Arbor, MI,1975.

[12] B. Asady.P.Mansouri and N. Gupta. The modify version of articial bee colony algorithm to solve real optimization problems. International Journal of Electrical and Computer Engineering (IJECE) Vol.2, No.4, pp.
473-480, 2012.

[13] N. Stanarevic. M.Tuba and N.Bacanin. Modied articial bee colony algorithm for constrained problems optimization, International journal of mathematical model and methods in applied sciences, Issue 3, Vol. 5, 2011.

[14] D.Karaboga.B.Akay and C.Ozturk. Articial Bee Colony (ABC)Optimization Algorithm for Training Feed-Forward Neural Networks,Modeling Decisions for Articial Intelligence, Vol. 4617, No.0302-9743, pp. 318-329, 2007.

[15] G. Roussy, J. A. Pearcy, Foundations and industrial applications of microwaves and radio frequency elds, John Wiley, New York, 1995.

[16] R. A. Van Gorder, K. Vajravelu, A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation, Nonlinear Analysis: Real World Applications 4, pp.2957-2962, 2010.