Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8051012 | Applied Mathematical Modelling | 2018 | 14 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Oluwaseye Adekanye, Talitha Washington,