Mathematics for Natural Scientists II pp 545-608 | Cite as

# Partial Differential Equations of Mathematical Physics

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## Abstract

If an unknown function of several variables and its partial derivatives are combined in an equation, the latter is called a *partial differential equation* (PDE ) . Several times above we have come across such PDEs when dealing with functions of several variables. For instance, in Sect. I.6.5.1 we derived the continuity equation for the particle density which contains its partial derivatives with respect to time *t* and the spatial coordinates *x*, *y* and *z*.

## Keywords

Wave Equation Heat Transport Laplace Equation Heat Conduction Equation Laplace Transform
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## Copyright information

© Springer International Publishing Switzerland 2016