- #1

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- TL;DR Summary
- Everyone knows how to do this type of analysis for a single equation, but what about systems?

I want to solve the following system of PDEs:

[tex]\frac{\partial\nu}{\partial t}=\frac{\partial u}{\partial h}[/tex]

[tex]\frac{\partial u}{\partial t}=\frac{\partial}{\partial h}\left(f(\nu)\frac{\partial u}{\partial h}\right)[/tex]

I know the usual Fourier analysis that are applied to the stencil for single equations that lead to conditions of the variables but I want to know how it's done for a system. I want to do the weighted-average method and I want to work out the value to give the largest dt.

[tex]\frac{\partial\nu}{\partial t}=\frac{\partial u}{\partial h}[/tex]

[tex]\frac{\partial u}{\partial t}=\frac{\partial}{\partial h}\left(f(\nu)\frac{\partial u}{\partial h}\right)[/tex]

I know the usual Fourier analysis that are applied to the stencil for single equations that lead to conditions of the variables but I want to know how it's done for a system. I want to do the weighted-average method and I want to work out the value to give the largest dt.