12 Elliptic Partial Differential Equations
12.1 Introduction
An ordinary differential equation involves only one independent variable. A partial differential equation involves two or more independent variables. For example, the following equation
describes the variation of the temperature, T, in the x and y directions. This equation comes from steady-state conductive heat transfer in a medium with constant properties. The temperature or equivalent must be completely specified on the boundaries. Solving the equation determines the temperature ...
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