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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 401696, 15 pages
http://dx.doi.org/10.1155/2014/401696
Research Article

Optimization Solution of Troesch’s and Bratu’s Problems of Ordinary Type Using Novel Continuous Genetic Algorithm

1Department of Mechatronics Engineering, Faculty of Engineering, The University of Jordan, Amman 11942, Jordan
2Department of Mathematics, Faculty of Science, Al-Balqa’ Applied University, Salt 19117, Jordan
3Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan
4Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Received 23 August 2013; Accepted 16 December 2013; Published 9 February 2014

Academic Editor: Stepan Agop Tersian

Copyright © 2014 Zaer Abo-Hammour et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [4 citations]

The following is the list of published articles that have cited the current article.

  • Shaher Momani, Omar Abu Arqub, Tasawar Hayat, and Hamed Al-Sulami, “A computational method for solving periodic boundary value problems for integro-differential equations of Fredholm–Volterra type,” Applied Mathematics and Computation, vol. 240, pp. 229–239, 2014. View at Publisher · View at Google Scholar
  • Omar Abu Arqub, and Zaer Abo-Hammour, “Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm,” Information Sciences, 2014. View at Publisher · View at Google Scholar
  • Mohammed AL-Smadi, Omar Abu Arqub, and Ahmad El-Ajou, “A Numerical Iterative Method for Solving Systems of First-Order Periodic Boundary Value Problems,” Journal of Applied Mathematics, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Z. S. Abo-Hammour, A. D. Samhouri, and Y. Mubarak, “Continuous Genetic Algorithm as a Novel Solver for Stokes and Nonlinear Navier Stokes Problems,” Mathematical Problems in Engineering, vol. 2014, pp. 1–18, 2014. View at Publisher · View at Google Scholar