Hello I am trying to use an explicit Euler method and to show the solution is always unstable no matter the time step.
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๐๐/๐๐ก + ๐ ๐๐/๐๐ฅ = 0 for 0 <= x <= 1
With the initial condition and boundary conditions of,
๐(๐ฅ, 0) = ๐ โ200(๐ฅโ0.25) 2 , ๐(0,๐ก) = 0, ๐(1,๐ก): outflow condition
๐ = 1, โ๐ฅ = 0.01
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