From a53964de5f84f6a3eea91d843e068543011abbeb Mon Sep 17 00:00:00 2001
From: Valentin Sulzer <valentinsulzer@hotmail.com>
Date: Wed, 29 Jul 2020 15:53:01 -0400
Subject: [PATCH] #1114 fix test

---
 .../spatial_methods/finite-volumes.ipynb      | 390 +++++++++++++-----
 pybamm/expression_tree/unary_operators.py     |   2 +-
 2 files changed, 277 insertions(+), 115 deletions(-)

diff --git a/examples/notebooks/spatial_methods/finite-volumes.ipynb b/examples/notebooks/spatial_methods/finite-volumes.ipynb
index d2f1fa38bc..8801602fbb 100644
--- a/examples/notebooks/spatial_methods/finite-volumes.ipynb
+++ b/examples/notebooks/spatial_methods/finite-volumes.ipynb
@@ -46,15 +46,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": 1,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "Note: you may need to restart the kernel to use updated packages.\n"
+     "output_type": "stream",
+     "text": [
+      "Note: you may need to restart the kernel to use updated packages.\n"
+     ]
     }
    ],
    "source": [
@@ -76,7 +78,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 35,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -101,7 +103,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 36,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -128,7 +130,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 37,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -163,26 +165,30 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 38,
+   "execution_count": 5,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "x_disc is a <class 'pybamm.expression_tree.vector.Vector'>\nr_disc is a <class 'pybamm.expression_tree.vector.Vector'>\n"
+     "output_type": "stream",
+     "text": [
+      "x_disc is a <class 'pybamm.expression_tree.vector.Vector'>\n",
+      "r_disc is a <class 'pybamm.expression_tree.vector.Vector'>\n"
+     ]
     },
     {
-     "output_type": "display_data",
      "data": {
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\n"
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+      "text/plain": [
+       "<Figure size 936x288 with 2 Axes>"
+      ]
      },
      "metadata": {
       "needs_background": "light"
-     }
+     },
+     "output_type": "display_data"
     }
    ],
    "source": [
@@ -224,7 +230,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 39,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -251,7 +257,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -271,15 +277,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 41,
+   "execution_count": 8,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "method self.evaluate() not implemented\n               for symbol u of type <class 'pybamm.expression_tree.variable.Variable'>\n"
+     "output_type": "stream",
+     "text": [
+      "method self.evaluate() not implemented\n",
+      "               for symbol u of type <class 'pybamm.expression_tree.variable.Variable'>\n"
+     ]
     }
    ],
    "source": [
@@ -298,15 +307,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 42,
+   "execution_count": 9,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "Discretised u is the StateVector y[0:40]\nDiscretised v is the StateVector y[40:50]\nDiscretised w is the StateVector y[50:51]\n"
+     "output_type": "stream",
+     "text": [
+      "Discretised u is the StateVector y[0:40]\n",
+      "Discretised v is the StateVector y[40:50]\n",
+      "Discretised w is the StateVector y[50:51]\n"
+     ]
     }
    ],
    "source": [
@@ -333,19 +346,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 43,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [
     {
-     "output_type": "display_data",
      "data": {
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\n"
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\n",
+      "text/plain": [
+       "<Figure size 936x288 with 2 Axes>"
+      ]
      },
      "metadata": {
       "needs_background": "light"
-     }
+     },
+     "output_type": "display_data"
     }
    ],
    "source": [
@@ -367,15 +381,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 44,
+   "execution_count": 11,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "w = [[5.]]\n"
+     "output_type": "stream",
+     "text": [
+      "w = [[5.]]\n"
+     ]
     }
    ],
    "source": [
@@ -400,15 +416,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 45,
+   "execution_count": 12,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "@\n├── Sparse Matrix (39, 40)\n└── y[0:40]\n"
+     "output_type": "stream",
+     "text": [
+      "@\n",
+      "├── Sparse Matrix (39, 40)\n",
+      "└── y[0:40]\n"
+     ]
     }
    ],
    "source": [
@@ -426,15 +446,26 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 46,
+   "execution_count": 13,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "gradient matrix is:\n\n1/dx *\n[[-1.  1.  0. ...  0.  0.  0.]\n [ 0. -1.  1. ...  0.  0.  0.]\n [ 0.  0. -1. ...  0.  0.  0.]\n ...\n [ 0.  0.  0. ...  1.  0.  0.]\n [ 0.  0.  0. ... -1.  1.  0.]\n [ 0.  0.  0. ...  0. -1.  1.]]\n"
+     "output_type": "stream",
+     "text": [
+      "gradient matrix is:\n",
+      "\n",
+      "1/dx *\n",
+      "[[-1.  1.  0. ...  0.  0.  0.]\n",
+      " [ 0. -1.  1. ...  0.  0.  0.]\n",
+      " [ 0.  0. -1. ...  0.  0.  0.]\n",
+      " ...\n",
+      " [ 0.  0.  0. ...  1.  0.  0.]\n",
+      " [ 0.  0.  0. ... -1.  1.  0.]\n",
+      " [ 0.  0.  0. ...  0. -1.  1.]]\n"
+     ]
     }
    ],
    "source": [
@@ -452,19 +483,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 47,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [
     {
-     "output_type": "display_data",
      "data": {
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\n"
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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
      },
      "metadata": {
       "needs_background": "light"
-     }
+     },
+     "output_type": "display_data"
     }
    ],
    "source": [
@@ -487,16 +519,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 48,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [
     {
-     "output_type": "execute_result",
      "data": {
-      "text/plain": "['negative particle']"
+      "text/plain": [
+       "['negative particle']"
+      ]
      },
+     "execution_count": 15,
      "metadata": {},
-     "execution_count": 48
+     "output_type": "execute_result"
     }
    ],
    "source": [
@@ -505,26 +539,46 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 49,
+   "execution_count": 16,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "grad(v) tree is:\n\n@\n├── Sparse Matrix (9, 10)\n└── y[40:50]\n\n gradient matrix is:\n\n1/dr *\n[[-1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n [ 0.  0.  0.  0.  0.  0. -1.  1.  0.  0.]\n [ 0.  0.  0.  0.  0.  0.  0. -1.  1.  0.]\n [ 0.  0.  0.  0.  0.  0.  0.  0. -1.  1.]]\n"
+     "output_type": "stream",
+     "text": [
+      "grad(v) tree is:\n",
+      "\n",
+      "@\n",
+      "├── Sparse Matrix (9, 10)\n",
+      "└── y[40:50]\n",
+      "\n",
+      " gradient matrix is:\n",
+      "\n",
+      "1/dr *\n",
+      "[[-1.  1.  0.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 0. -1.  1.  0.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 0.  0. -1.  1.  0.  0.  0.  0.  0.  0.]\n",
+      " [ 0.  0.  0. -1.  1.  0.  0.  0.  0.  0.]\n",
+      " [ 0.  0.  0.  0. -1.  1.  0.  0.  0.  0.]\n",
+      " [ 0.  0.  0.  0.  0. -1.  1.  0.  0.  0.]\n",
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\n"
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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
      },
      "metadata": {
       "needs_background": "light"
-     }
+     },
+     "output_type": "display_data"
     }
    ],
    "source": [
@@ -568,15 +622,26 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 50,
+   "execution_count": 17,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "The gradient object is:\n@\n├── Sparse Matrix (41, 42)\n└── +\n    ├── @\n    │   ├── Sparse Matrix (42, 40)\n    │   └── y[0:40]\n    └── Column vector of length 42\nThe value of u on the left-hand boundary is [1.]\nThe value of u on the right-hand boundary is [2.]\n"
+     "output_type": "stream",
+     "text": [
+      "The gradient object is:\n",
+      "@\n",
+      "├── Sparse Matrix (41, 42)\n",
+      "└── +\n",
+      "    ├── @\n",
+      "    │   ├── Sparse Matrix (42, 40)\n",
+      "    │   └── y[0:40]\n",
+      "    └── Column vector of length 42\n",
+      "The value of u on the left-hand boundary is [1.]\n",
+      "The value of u on the right-hand boundary is [2.]\n"
+     ]
     }
    ],
    "source": [
@@ -601,15 +666,26 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 51,
+   "execution_count": 18,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "The gradient object is:\n+\n├── @\n│   ├── Sparse Matrix (41, 39)\n│   └── @\n│       ├── Sparse Matrix (39, 40)\n│       └── y[0:40]\n└── Column vector of length 41\nThe gradient on the left-hand boundary is [3.]\nThe gradient of u on the right-hand boundary is [4.]\n"
+     "output_type": "stream",
+     "text": [
+      "The gradient object is:\n",
+      "+\n",
+      "├── @\n",
+      "│   ├── Sparse Matrix (41, 39)\n",
+      "│   └── @\n",
+      "│       ├── Sparse Matrix (39, 40)\n",
+      "│       └── y[0:40]\n",
+      "└── Column vector of length 41\n",
+      "The gradient on the left-hand boundary is [3.]\n",
+      "The gradient of u on the right-hand boundary is [4.]\n"
+     ]
     }
    ],
    "source": [
@@ -631,15 +707,30 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 52,
+   "execution_count": 19,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "The gradient object is:\n+\n├── @\n│   ├── Sparse Matrix (41, 40)\n│   └── @\n│       ├── Sparse Matrix (40, 41)\n│       └── +\n│           ├── @\n│           │   ├── Sparse Matrix (41, 40)\n│           │   └── y[0:40]\n│           └── Column vector of length 41\n└── Column vector of length 41\nThe value of u on the left-hand boundary is [0.]\nThe gradient on the right-hand boundary is [6.]\n"
+     "output_type": "stream",
+     "text": [
+      "The gradient object is:\n",
+      "+\n",
+      "├── @\n",
+      "│   ├── Sparse Matrix (41, 40)\n",
+      "│   └── @\n",
+      "│       ├── Sparse Matrix (40, 41)\n",
+      "│       └── +\n",
+      "│           ├── @\n",
+      "│           │   ├── Sparse Matrix (41, 40)\n",
+      "│           │   └── y[0:40]\n",
+      "│           └── Column vector of length 41\n",
+      "└── Column vector of length 41\n",
+      "The value of u on the left-hand boundary is [0.]\n",
+      "The gradient on the right-hand boundary is [6.]\n"
+     ]
     }
    ],
    "source": [
@@ -676,7 +767,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 53,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -692,15 +783,25 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 54,
+   "execution_count": 21,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "@\n├── Sparse Matrix (40, 41)\n└── +\n    ├── @\n    │   ├── Sparse Matrix (41, 39)\n    │   └── @\n    │       ├── Sparse Matrix (39, 40)\n    │       └── y[0:40]\n    └── Column vector of length 41\n"
+     "output_type": "stream",
+     "text": [
+      "@\n",
+      "├── Sparse Matrix (40, 41)\n",
+      "└── +\n",
+      "    ├── @\n",
+      "    │   ├── Sparse Matrix (41, 39)\n",
+      "    │   └── @\n",
+      "    │       ├── Sparse Matrix (39, 40)\n",
+      "    │       └── y[0:40]\n",
+      "    └── Column vector of length 41\n"
+     ]
     }
    ],
    "source": [
@@ -718,15 +819,26 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 55,
+   "execution_count": 22,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "divergence matrix is:\n\n1/dx * \n[[-1.  1.  0. ...  0.  0.  0.]\n [ 0. -1.  1. ...  0.  0.  0.]\n [ 0.  0. -1. ...  0.  0.  0.]\n ...\n [ 0.  0.  0. ...  1.  0.  0.]\n [ 0.  0.  0. ... -1.  1.  0.]\n [ 0.  0.  0. ...  0. -1.  1.]]\n"
+     "output_type": "stream",
+     "text": [
+      "divergence matrix is:\n",
+      "\n",
+      "1/dx * \n",
+      "[[-1.  1.  0. ...  0.  0.  0.]\n",
+      " [ 0. -1.  1. ...  0.  0.  0.]\n",
+      " [ 0.  0. -1. ...  0.  0.  0.]\n",
+      " ...\n",
+      " [ 0.  0.  0. ...  1.  0.  0.]\n",
+      " [ 0.  0.  0. ... -1.  1.  0.]\n",
+      " [ 0.  0.  0. ...  0. -1.  1.]]\n"
+     ]
     }
    ],
    "source": [
@@ -745,15 +857,23 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 56,
+   "execution_count": 23,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "@\n├── Sparse Matrix (40, 41)\n└── +\n    ├── Column vector of length 41\n    └── @\n        ├── Sparse Matrix (41, 40)\n        └── y[0:40]\n"
+     "output_type": "stream",
+     "text": [
+      "@\n",
+      "├── Sparse Matrix (40, 41)\n",
+      "└── +\n",
+      "    ├── Column vector of length 41\n",
+      "    └── @\n",
+      "        ├── Sparse Matrix (41, 40)\n",
+      "        └── y[0:40]\n"
+     ]
     }
    ],
    "source": [
@@ -763,15 +883,26 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 57,
+   "execution_count": 24,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "laplacian matrix is:\n\n1/dx^2 *\n[[-0.025  0.025  0.    ...  0.     0.     0.   ]\n [ 0.    -0.025  0.025 ...  0.     0.     0.   ]\n [ 0.     0.    -0.025 ...  0.     0.     0.   ]\n ...\n [ 0.     0.     0.    ...  0.025  0.     0.   ]\n [ 0.     0.     0.    ... -0.025  0.025  0.   ]\n [ 0.     0.     0.    ...  0.    -0.025  0.025]]\n"
+     "output_type": "stream",
+     "text": [
+      "laplacian matrix is:\n",
+      "\n",
+      "1/dx^2 *\n",
+      "[[-0.025  0.025  0.    ...  0.     0.     0.   ]\n",
+      " [ 0.    -0.025  0.025 ...  0.     0.     0.   ]\n",
+      " [ 0.     0.    -0.025 ...  0.     0.     0.   ]\n",
+      " ...\n",
+      " [ 0.     0.     0.    ...  0.025  0.     0.   ]\n",
+      " [ 0.     0.     0.    ... -0.025  0.025  0.   ]\n",
+      " [ 0.     0.     0.    ...  0.    -0.025  0.025]]\n"
+     ]
     }
    ],
    "source": [
@@ -790,16 +921,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 58,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [
     {
-     "output_type": "execute_result",
      "data": {
-      "text/plain": "0.3869257079786621"
+      "text/plain": [
+       "0.3904885530000004"
+      ]
      },
+     "execution_count": 25,
      "metadata": {},
-     "execution_count": 58
+     "output_type": "execute_result"
     }
    ],
    "source": [
@@ -809,16 +942,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 59,
+   "execution_count": 26,
    "metadata": {},
    "outputs": [
     {
-     "output_type": "execute_result",
      "data": {
-      "text/plain": "0.32253385899821296"
+      "text/plain": [
+       "0.3067083909999999"
+      ]
      },
+     "execution_count": 26,
      "metadata": {},
-     "execution_count": 59
+     "output_type": "execute_result"
     }
    ],
    "source": [
@@ -841,15 +976,18 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 61,
+   "execution_count": 27,
    "metadata": {
     "tags": []
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "int(u) = [[0.08330729]] is approximately equal to 1/12, 0.08333333333333333\nint(v/r^2) = [[4.80432096]] is approximately equal to 4 * pi * sin(1), 10.574236256325824\n"
+     "output_type": "stream",
+     "text": [
+      "int(u) = [[0.08330729]] is approximately equal to 1/12, 0.08333333333333333\n",
+      "int(v/r^2) = [[10.57864347]] is approximately equal to 4 * pi * sin(1), 10.574236256325824\n"
+     ]
     }
    ],
    "source": [
@@ -861,7 +999,7 @@
     "int_v_over_r2 = pybamm.Integral(v/r_var**2, r_var)\n",
     "int_v_over_r2_disc = disc.process_symbol(int_v_over_r2)\n",
     "print(\"int(v/r^2) = {} is approximately equal to 4 * pi * sin(1), {}\".format(\n",
-    "    int_v_over_r_disc.evaluate(y=y), 4 * np.pi * np.sin(1))\n",
+    "    int_v_over_r2_disc.evaluate(y=y), 4 * np.pi * np.sin(1))\n",
     ")"
    ]
   },
@@ -880,16 +1018,32 @@
    },
    "outputs": [
     {
-     "output_type": "stream",
      "name": "stdout",
-     "text": "int(u):\n\n@\n├── Sparse Matrix (1, 40)\n└── y[0:40]\n\nint(v):\n\n@\n├── Sparse Matrix (1, 10)\n└── *\n    ├── /\n    │   ├── y[40:50]\n    │   └── Column vector of length 10\n    └── Column vector of length 10\n"
+     "output_type": "stream",
+     "text": [
+      "int(u):\n",
+      "\n",
+      "@\n",
+      "├── Sparse Matrix (1, 40)\n",
+      "└── y[0:40]\n",
+      "\n",
+      "int(v):\n",
+      "\n",
+      "@\n",
+      "├── Sparse Matrix (1, 10)\n",
+      "└── *\n",
+      "    ├── /\n",
+      "    │   ├── y[40:50]\n",
+      "    │   └── Column vector of length 10\n",
+      "    └── Column vector of length 10\n"
+     ]
     }
    ],
    "source": [
     "print(\"int(u):\\n\")\n",
     "int_u_disc.render()\n",
     "print(\"\\nint(v):\\n\")\n",
-    "int_v_over_r_disc.render()"
+    "int_v_over_r2_disc.render()"
    ]
   },
   {
@@ -898,12 +1052,16 @@
    "metadata": {},
    "outputs": [
     {
-     "output_type": "execute_result",
      "data": {
-      "text/plain": "matrix([[1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n         1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n         1., 1., 1., 1., 1., 1., 1., 1.]])"
+      "text/plain": [
+       "matrix([[1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n",
+       "         1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,\n",
+       "         1., 1., 1., 1., 1., 1., 1., 1.]])"
+      ]
      },
+     "execution_count": 29,
      "metadata": {},
-     "execution_count": 29
+     "output_type": "execute_result"
     }
    ],
    "source": [
@@ -916,16 +1074,19 @@
    "metadata": {},
    "outputs": [
     {
-     "output_type": "execute_result",
      "data": {
-      "text/plain": "matrix([[12.56637061, 12.56637061, 12.56637061, 12.56637061, 12.56637061,\n         12.56637061, 12.56637061, 12.56637061, 12.56637061, 12.56637061]])"
+      "text/plain": [
+       "matrix([[12.56637061, 12.56637061, 12.56637061, 12.56637061, 12.56637061,\n",
+       "         12.56637061, 12.56637061, 12.56637061, 12.56637061, 12.56637061]])"
+      ]
      },
+     "execution_count": 30,
      "metadata": {},
-     "execution_count": 30
+     "output_type": "execute_result"
     }
    ],
    "source": [
-    "int_v_over_r_disc.children[0].evaluate() / micro_mesh.d_edges"
+    "int_v_over_r2_disc.children[0].evaluate() / micro_mesh.d_edges"
    ]
   },
   {
@@ -982,15 +1143,16 @@
    "metadata": {},
    "outputs": [
     {
-     "output_type": "display_data",
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\n"
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\n",
+      "text/plain": [
+       "<Figure size 936x288 with 3 Axes>"
+      ]
      },
      "metadata": {
       "needs_background": "light"
-     }
+     },
+     "output_type": "display_data"
     }
    ],
    "source": [
@@ -1028,15 +1190,16 @@
    "metadata": {},
    "outputs": [
     {
-     "output_type": "display_data",
      "data": {
-      "text/plain": "<Figure size 936x288 with 3 Axes>",
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\n"
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 936x288 with 3 Axes>"
+      ]
      },
      "metadata": {
       "needs_background": "light"
-     }
+     },
+     "output_type": "display_data"
     }
    ],
    "source": [
@@ -1045,11 +1208,10 @@
     "rhs = model.concatenated_rhs.evaluate(0, y0)\n",
     "\n",
     "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(13,4))\n",
-    "# ax1.plot(x_fine, -10*np.sin(10*x_fine) - 5, x, rhs_c_e, \"o\")\n",
-    "ax1.plot(x, rhs_c_e, \"o\")\n",
+    "ax1.plot(x_fine, -10*np.sin(10*x_fine) - 5, x, rhs_c_e, \"o\")\n",
     "ax1.set_xlabel(\"x\")\n",
     "ax1.set_ylabel(\"rhs_c_e\")\n",
-    "# ax1.legend([\"1+0.1*sin(10*x)\", \"c_e_0\"], loc=\"best\")\n",
+    "ax1.legend([\"1+0.1*sin(10*x)\", \"c_e_0\"], loc=\"best\")\n",
     "\n",
     "ax2.plot(r, rhs_c_s, \"o\")\n",
     "ax2.set_xlabel(\"r\")\n",
@@ -1113,9 +1275,9 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.6.8"
+   "version": "3.7.7"
   }
  },
  "nbformat": 4,
  "nbformat_minor": 2
-}
\ No newline at end of file
+}
diff --git a/pybamm/expression_tree/unary_operators.py b/pybamm/expression_tree/unary_operators.py
index f3dc01d372..3b2d9b38ea 100644
--- a/pybamm/expression_tree/unary_operators.py
+++ b/pybamm/expression_tree/unary_operators.py
@@ -1177,7 +1177,7 @@ def r_average(symbol):
     # "positive electrode", take the r-average of the child then broadcast back
     elif isinstance(symbol, pybamm.SecondaryBroadcast) and symbol.domains[
         "secondary"
-    ] in [["positive electrode"], ["negative electrode"],]:
+    ] in [["positive electrode"], ["negative electrode"]]:
         child = symbol.orphans[0]
         child_av = pybamm.r_average(child)
         return pybamm.PrimaryBroadcast(child_av, symbol.domains["secondary"])