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The Dispersive One-Dimensional Wave Equation

Stiffness introduces a restoring force proportional to the fourth spatial derivative:

$\displaystyle \epsilon {\ddot y}= Ky''\underbrace{- \kappa y''''}_{\hbox{new}}
$

where

Limiting cases


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``Distributed Modeling in Discrete Time'', by Julius O. Smith III and Nelson Lee,
REALSIMPLE Project — work supported by the Wallenberg Global Learning Network .
Released 2008-06-05 under the Creative Commons License (Attribution 2.5), by Julius O. Smith III and Nelson Lee
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
CCRMA