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.


Wave Equation Burger Equation Telegraph Equation Navier Equation Vector Wave Equation 
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© Birkhäuser Boston 2007

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