Overview of Boundary Value Applications

In a Nut Shell: There are three common boundary value applications that lend themselves

to analysis under the assumption of separation of variables. In addition, suppose each of them

have homogeneous boundary conditions. The applications include:

Application Governing PDE

Heat conduction in a thin rod	∂u/∂t = k ∂^2u/∂x^2
Vibrations of a string	∂^2u/∂t^2 = k ∂^2u/∂x^2
Heat conduction in a plate	∂^2u/∂x^2 + k ∂^2u/∂y^2= 0

Click here to view two types of homogeneous boundary conditions for these applications.

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