Journal
APPLIED MATHEMATICAL MODELLING
Volume 62, Issue -, Pages 223-236Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2018.05.027
Keywords
Nonstandard finite difference schemes; Nonlinear ODEs; Tacoma Narrows Bridge
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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. (C) 2018 Elsevier Inc. All rights reserved.
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