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.