Encyclopedia of Systems Biology

2013 Edition
| Editors: Werner Dubitzky, Olaf Wolkenhauer, Kwang-Hyun Cho, Hiroki Yokota

Partial Differential Equations, Wave Equation

  • Richard H. Clayton
Reference work entry
DOI: https://doi.org/10.1007/978-1-4419-9863-7_275

Definition

The wave equation is a second-order linear partial differential equation that describes how a scalar quantity u changes with space and time. In 1-D the wave equation is:
$$ \frac{{{\partial^2}u(x,t)}}{{\partial {t^2}}} = {c^2}\frac{{{\partial^2}u(x,t)}}{{\partial {x^2}}} $$
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References

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Copyright information

© Springer Science+Business Media, LLC 2013

Authors and Affiliations

  1. 1.Department of Computer ScienceUniversity of SheffieldSheffieldUK