Parabolic Equations - Implicit Methods

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Chapter 9 - Finite-Difference Methods for Initial-Value Problems
Section 9.7 - Implicit Methods

This video is one of a series based on the book:

"Matrix, Numerical, and Optimization Methods in Science and Engineering," by Kevin W. Cassel

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can I use this analysis of stability if in a 1D difusion equation I had a forcing term g(t, x)?
d/dt = d^2/dx^2 + g(t, x)

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