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test/pde_systems/MOL_1D_Linear_Diffusion.jl

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@@ -243,15 +243,17 @@ end
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x = ((0.0-dx_/2): dx_ : (Float64(π)+dx_/2))[2:end-1]
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end
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t = sol.t
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# Plots
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using Plots
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anim = @animate for (i,T) in enumerate(t)
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exact = u_exact(x, T)
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plot(x, exact, seriestype = :scatter,label="Analytic solution")
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plot!(x, sol.u[i], label="Numeric solution")
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plot!(x, log.(abs.(exact-sol.u[i])), label="Error at t = $(t[i])")
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end
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gif(anim, "plots/MOL_Linear_Diffusion_1D_Test03a_$disc.gif", fps = 5)
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# using Plots
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# anim = @animate for (i,T) in enumerate(t)
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# exact = u_exact(x, T)
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# plot(x, exact, seriestype = :scatter,label="Analytic solution")
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# plot!(x, sol.u[i], label="Numeric solution")
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# plot!(x, log.(abs.(exact-sol.u[i])), label="Log Error at t = $(t[i])")
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# end
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# gif(anim, "plots/MOL_Linear_Diffusion_1D_Test03a_$disc.gif", fps = 5)
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# Test against exact solution
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# exact integral based on Neumann BCs
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integral_u_exact = t -> sum(sol.u[1] * dx[2]) + 2 * (exp(-t) - 1)

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