Least-square approximation of a nonlinear ODE with excitation

被引：0

作者：

Benouaz, T ^{[1
]}

Bendahmane, F ^{[1
]}

机构：

[1] Univ Tlemcen, Lab Modelisat, Tilimsen 13000, Algeria

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 2-3期

关键词：

least square approximation; computational procedure; excitation; quadratic error; continuous; periodic;

D O I：

10.1016/S0898-1221(04)90039-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to present a computational procedure of an optimal approximation method for a nonlinear ordinary differential equation with excitation based on the minimization in the least-square sense. The approximation is of order two or higher with respect to the initial value. We provide an application which contained an example with two kinds of excitations: continuous and periodic. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：473 / 489

页数：17

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