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Investigating doc failure #751

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Investigating doc failure #751

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10 changes: 4 additions & 6 deletions docs/src/tutorials/constraints.md
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Original file line number Diff line number Diff line change
Expand Up @@ -35,8 +35,6 @@ Dxx = Differential(x)^2
_σ = 0.5
x_0 = -2.2
x_end = 2.2
# Discretization
dx = 0.01

eq = Dx((α * x - β * x^3) * p(x)) ~ (_σ^2 / 2) * Dxx(p(x))

Expand All @@ -57,15 +55,15 @@ lb = [x_0]
ub = [x_end]
function norm_loss_function(phi, θ, p)
function inner_f(x, θ)
dx * phi(x, θ) .- 1
0.01 * phi(x, θ) .- 1
end
prob = IntegralProblem(inner_f, lb, ub, θ)
norm2 = solve(prob, HCubatureJL(), reltol = 1e-8, abstol = 1e-8, maxiters = 10)
abs(norm2[1])
end

discretization = PhysicsInformedNN(chain,
GridTraining(dx),
QuadratureTraining(),
additional_loss = norm_loss_function)

@named pdesystem = PDESystem(eq, bcs, domains, [x], [p(x)])
Expand All @@ -88,7 +86,7 @@ end

res = Optimization.solve(prob, LBFGS(), callback = cb_, maxiters = 400)
prob = remake(prob, u0 = res.u)
res = Optimization.solve(prob, BFGS(), callback = cb_, maxiters = 2000)
res = Optimization.solve(prob, BFGS(), callback = cb_, maxiters = 1000)
```

And some analysis:
Expand All @@ -98,7 +96,7 @@ using Plots
C = 142.88418699042 #fitting param
analytic_sol_func(x) = C * exp((1 / (2 * _σ^2)) * (2 * α * x^2 - β * x^4))

xs = [infimum(d.domain):dx:supremum(d.domain) for d in domains][1]
xs = [infimum(d.domain):0.01:supremum(d.domain) for d in domains][1]
u_real = [analytic_sol_func(x) for x in xs]
u_predict = [first(phi(x, res.u)) for x in xs]

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