Autor:	Ruan, Ning, Gao, David Y.
Rok vydání:	2012
Předmět:	Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
Popis:	This paper presents a canonical dual approach for solving a nonlinear population growth problem governed by the well-known logistic equation. Using the finite difference and least squares methods, the nonlinear differential equation is first formulated as a nonconvex optimization problem with unknown parameters. We then prove that by the canonical duality theory, this nonconvex problem is equivalent to a concave maximization problem over a convex feasible space, which can be solved easily to obtain global optimal solution to this challenging problem. Several illustrative examples are presented. Comment: 13 pages, 3 figures and 2 tables; IMA J. Appl. Math. 2012
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1206.2447 Zobrazit plný text záznamu View this record from Arxiv