Article ID Journal Published Year Pages File Type
8051012 Applied Mathematical Modelling 2018 14 Pages PDF
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
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