Solving Ordinary Differential Equations with Evolutionary Algorithms

Autor:	Bakre Omolara Fatimah, Akanbi Moses Adebowale, Wusu Ashiribo Senapon
Rok vydání:	2015
Předmět:	Stochastic partial differential equation Examples of differential equations Mathematical optimization Evolutionary algorithm Exponential integrator Differential algebraic equation Evolutionary computation Integrating factor Mathematics Numerical partial differential equations
Zdroj:	Open Journal of Optimization. :69-73
ISSN:	2325-7091 2325-7105
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e1c02816fff52c98519b59108f1c2077 https://doi.org/10.4236/ojop.2015.43009 Zobrazit plný text záznamu