Merge pull request #180 from ChrisRackauckas-Claude/fix-brusselator-1d

Fix prob_ode_brusselator_1d: undefined N, vector dx, missing BCs

Author: ChrisRackauckas

lib/ODEProblemLibrary/src/brusselator_prob.jl

@@ -116,9 +116,10 @@ const N_brusselator_1d = 40
 function brusselator_1d_loop(du, u, p, t)
     A, B, alpha, dx = p
     alpha = alpha / dx^2
-    return @inbounds for i in 2:(N - 1)
-        x = xyd_brusselator[i]
-        ip1, im1 = i + 1, i - 1
+    N = N_brusselator_1d
+    @inbounds for i in 1:N
+        ip1 = limit(i + 1, N)
+        im1 = limit(i - 1, N)
         du[i, 1] = alpha * (u[im1, 1] + u[ip1, 1] - 2u[i, 1]) +
             A + u[i, 1]^2 * u[i, 2] - (B + 1) * u[i, 1]
         du[i, 2] = alpha * (u[im1, 2] + u[ip1, 2] - 2u[i, 2]) +
@@ -155,12 +156,12 @@ v(x,0) &= 3
 \end{align*}
 ```
 
-with the boundary condition
+with periodic boundary conditions
 
 ```math
 \begin{align*}
-u(0,t) = u(1,t) = 1 \\
-v(0,t) = v(1,t) = 3
+u(0,t) &= u(1,t) \\
+v(0,t) &= v(1,t)
 \end{align*}
 ```
 
@@ -170,5 +171,5 @@ prob_ode_brusselator_1d = ODEProblem(
     brusselator_1d_loop,
     init_brusselator_1d(N_brusselator_1d),
     (0.0, 10.0),
-    (1.0, 3.0, 1 / 41, zeros(N_brusselator_1d))
+    (1.0, 3.0, 0.02, 1.0 / N_brusselator_1d)
 )