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Referring to the discretization of derivatives by Finite differences, and its applications to numerical solutions of partial differential equations.
5
votes
Finite Difference Method Stability
Analytical problem :
what you are expecting is positive diffusion : you want the $T_i$ values to spread over your domain as time passes to eventually reach $T_i(t\rightarrow \infty) = cte$
if $\alph …
6
votes
Accepted
Advice on numerical solution for 2D hyperbolic PDE with zero flux boundary conditions
Let me give a part of your answer, I would need some more indications from your side to answer you fully. So please read, and write some comments so that I can complete my answer.
About notations in …