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Mastorakis, N.E. (2005) Numerical Solution of Non-Linear Ordinary Differential Equations via Collocation Method (Finite Elements) and Genetic Algorithms. Proceedings of the 6th WSEAS International Conference on Evolutionary Computing, Lisbon, 16-18 June 2005, 36-42.

has been cited by the following article:

• TITLE: Solving Ordinary Differential Equations with Evolutionary Algorithms

  AUTHORS: Bakre Omolara Fatimah, Wusu Ashiribo Senapon, Akanbi Moses Adebowale

  KEYWORDS: Evolutionary Algorithm, Differential Equations, Differential Evolution, Optimization

  JOURNAL NAME: Open Journal of Optimization, Vol.4 No.3, September 4, 2015

  ABSTRACT: In this paper, the authors show that the general linear second order ordinary Differential Equation can be formulated as an optimization problem and that evolutionary algorithms for solving optimization problems can also be adapted for solving the formulated problem. The authors propose a polynomial based scheme for achieving the above objectives. The coefficients of the proposed scheme are approximated by an evolutionary algorithm known as Differential Evolution (DE). Numerical examples with good results show the accuracy of the proposed method compared with some existing methods.