# Mathematical Models

Chapter

## Abstract

Partial differential equations arise frequently in formulating fundamental laws of nature and in the study of a wide variety of physical, chemical, and biological models. We start with a special type of second-order linear partial differential equation for the following reasons. First, second-order linear equations arise more frequently in a wide variety of applications. Second, their mathematical treatment is simpler and easier to understand than that of first-order equations in general. Usually, in almost all physical phenomena (or physical processes), the dependent variable *u* = *u* (*x, y, z, t*) is a function of three space variables, *x, y, z* and time variable *t*.

## Keywords

Wave Equation Burger Equation Telegraph Equation Navier Equation Vector Wave Equation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© Birkhäuser Boston 2007