Construction of finite difference schemes for coupled nonlinear oscillators derived form a discrete energy function
- 1 January 1996
- journal article
- research article
- Published by Taylor & Francis in Journal of Difference Equations and Applications
- Vol. 2 (2) , 185-193
- https://doi.org/10.1080/10236199608808053
Abstract
We consider the modeling of coupled, nonlinear differential equations by finite difference schemes derived from nonstandard discrete energy functions. An important feature of these schemes is that a priori the obtained equations of motion satisfy a conservation law. This work also provides an illustration of the application of nonstandard finite difference rules to the discrete modeling of ordinary differential equations.Keywords
This publication has 2 references indexed in Scilit:
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- Properties of finite difference models of non-linear conservative oscillatorsJournal of Sound and Vibration, 1988