Author(s)

Bakre Omolara Fatimah¹, Wusu Ashiribo Senapon², Akanbi Moses Adebowale²

¹Department of Mathematics, Federal College of Education (Technical), Lagos, Nigeria.
²Department of Mathematics, Lagos State University, Lagos, Nigeria.

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.

Evolutionary Algorithm, Differential Equations, Differential Evolution, Optimization

Fatimah, B. , Senapon, W. and Adebowale, A. (2015) Solving Ordinary Differential Equations with Evolutionary Algorithms. Open Journal of Optimization, 4, 69-73. doi: 10.4236/ojop.2015.43009.