Segmented Tau approximation for a parametric nonlinear neutral differential equation

被引：5

作者：

Cordero, Luis F.

Escalante, Rene ^{[1
]}

机构：

[1] Univ Carabobo, Fac Ciencias Econ & Sociales, Dept Matemat & Estadist, Maracaibo, Venezuela

[2] Univ Simon Bolivar, Dept Computo Cientif & Estadist, Div Ciencias Fis & Matemat, Caracas 1080 A, Venezuela

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 01期

关键词：

delay differential equations; functional differential equations; neutral differential equations; polynomial approximations; step by step Tau method approximation;

D O I：

10.1016/j.amc.2007.01.081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The segmented formulation of the Tau method is used to approximate the solutions of the parametric nonlinear neutral differential equation y'(t) = ry(t) (a + by(t - tau) + cy/(t - tau)), t >= 0, y(t) = psi(t), t <= 0, which represents, for different values of the parameters r, a, b, c and tau, a family of functional differential equations with some of its members arising in areas as different as the number theory, mathematical biology, and population dynamics. For this equation no closed form of analytical solution is available. The numerical results obtained are consistent with the theoretical and practical results reported elsewhere. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：866 / 881

页数：16

共 13 条

[1]

Bellen A., 2003, Numerical methods for delay differential equations, numerical mathematics and scientific computation

[2] Segmented Tau approximation for test neutral functional differential equations [J].