Burgers eq. example: assert for convergence and increase number of iterations in root-finfing for the analytic solution; extend animation till t=1; enable non-oscillatory MPDATA option; add case A & case B with different initial cond.; cleanups (#607)

Author: slayoo

docs/bibliography.json

@@ -217,5 +217,12 @@
     ],
     "label": "Magnuszewski & Arabas 2025 (arXiv)",
     "title": "Path-dependent option pricing with two-dimensional PDE using MPDATA"
+  },
+  "https://doi.org/10.1016/S0065-2156%2808%2970100-5": {
+    "usages": [
+      "examples/PyMPDATA_examples/burgers_equation/burgers_equation.ipynb"
+    ],
+    "label": "Burgers 1948 (Adv. Appl. Mech. 1)",
+    "title": "A Mathematical Model Illustrating the Theory of Turbulence"
   }
 }

examples/PyMPDATA_examples/burgers_equation/__init__.py

@@ -4,5 +4,3 @@
 burgers-equation.ipynb:
 .. include:: ./burgers_equation.ipynb.badges.md
 """
-
-from .burgers_equation import run_numerical_simulation