PDE Classification: Elliptic, Parabolic, and Hyperbolic

Описание к видео PDE Classification: Elliptic, Parabolic, and Hyperbolic

*please note that the left hand side of the parabolic equation should be differentiated with respect to time, not x.

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In this video I discuss how PDEs are classified. The classifications include Elliptic, Parabolic, and Hyperbolic; this is an important topic because it provides intuition to the behavior of many heat and cfd problems. Along with introducing and describing the classes, I give a brief example of how a simple PDE can be classified. In a future video I will show how this procedure can be generalized to PDEs that rely on N variables.

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