Eigenfunction Expansions - Partial Differential Equations | Lecture 28
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Eigenfunction Expansions - Partial Differential Equations | Lecture 28
In this lecture we leverage Sturm-Liouville theory to solve inhomogeneous partial differential equations. We demonstrate with a worked example of the heat equation with a space and time dependent heat source. We show that the solution to the PDE can be expanded as an infinite sum of the Sturm-Liouville eigenfunctions from an associated ...
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