Files
CHMMF/pub2.ipynb
2019-04-09 15:01:16 +02:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import sys\n",
"sys.path[0:0] = ['src/']"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"from solvers.implicit import solve_implicit\n",
"\n",
"from util import Grid"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"grid = Grid(100, 500)\n",
"\n",
"solution = solve(grid)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x120db3978>]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1920x1080 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(grid.xs, solution[-1])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"solve"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}