Nonstandard finite difference scheme for a Tacoma Narrows Bridge model

Oluwaseye Adekanye; Talitha Washington

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Nonstandard finite difference scheme for a Tacoma Narrows Bridge model

机译：塔科马窄桥模型的非标准有限差分方案

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摘要

This paper constructs two dynamically consistent nonstandard finite difference (NSFD) schemes for the model of Tacoma Narrows Bridge using the Mickens methodology. The model consists of nonlinear, coupled, second order ordinary differential equations (ODEs). The standard forward Euler fails to capture the correct behavior of the system for a given step size. However, using the same step size, both NSFD schemes correctly approximate the solution to the system.

机译：本文采用Mickens方法为塔科马大桥的模型构造了两个动态一致的非标准有限差分（NSFD）方案。该模型由非线性，耦合的二阶常微分方程（ODE）组成。对于给定的步长，标准前向Euler无法捕获系统的正确行为。但是，使用相同的步长，两种NSFD方案都能正确地将解决方案近似为系统。

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来源
《Applied Mathematical Modelling》 |2018年第10期|223-236|共14页
作者
Oluwaseye Adekanye; Talitha Washington;
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作者单位

Department of Mathematics, Howard University;

Department of Mathematics, Howard University;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Nonstandard finite difference schemes; Nonlinear ODEs; Tacoma Narrows Bridge;

机译：非标准有限差分格式;非线性ODE;塔科马窄桥;

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Nonstandard finite difference scheme for a Tacoma Narrows Bridge model

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