## Diff of /inst/example/Evolution/Evolution.m [000000] .. [d03d99]  Maximize  Restore

### Switch to side-by-side view

```--- a
+++ b/inst/example/Evolution/Evolution.m
@@ -0,0 +1,41 @@
+pkg load fem-fenics msh
+
+problem = 'Evolution';
+import_ufl_Problem (problem);
+
+mesh = Mesh (msh2m_structured_mesh (0:0.05:1, 0:0.05:1, 1, 1:4));
+
+V = FunctionSpace(problem, mesh);
+
+bc = DirichletBC (V, @(x,y) 1, 1:4);
+
+t = 0;
+dt = 0.01;
+T = 0.3;
+
+k = Expression ('dt', @(x,y) dt);
+
+u0 = Expression ('u0', @(x,y) 10*exp(-((x - 0.5)^2 + (y - 0.5)^2) / 0.02));
+
+a = BilinearForm (problem, V, k);
+L = LinearForm (problem, V, k, u0);
+
+A = assemble (a, bc);
+
+# solve the problem for each time step
+# We need to update only the lhs
+while t < T
+  t += dt;
+
+  # we can pass u0 to the lhs indifferently as a fem_coeff or
+  # as a fem_func
+  L = LinearForm (problem, V, k, u0);
+  b = assemble (L, bc);
+
+  u = A \ b;
+
+  u0 = Function ('u0', V, u);
+
+  #press Q to make the plot continue
+  plot (u0);
+end
```