Abstract
The Finite-Difference method is based on the reasoning of differential equations. The limes of a finite difference Δy over Δx results in a derivation like
which is a slope, and, following the d’Allambert reasoning of the wave equation where the change of slope according to the wave equation is the first term of a Taylor series, we get
the second derivative of a displacement with respect to space.
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© 2013 Springer-Verlag Berlin Heidelberg
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Bader, R. (2013). Finite-Difference Simulation. In: Nonlinearities and Synchronization in Musical Acoustics and Music Psychology. Current Research in Systematic Musicology, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36098-5_5
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DOI: https://doi.org/10.1007/978-3-642-36098-5_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-36097-8
Online ISBN: 978-3-642-36098-5
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