Files
ANum/QUESTION17.ipynb
2024-12-03 20:04:03 +01:00

130 lines
99 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "6a47bb60-4ac8-4627-8d8f-ba95f775e6ad",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "cafc7c60-9128-48d0-af9a-66d2d12f0c6f",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def f_edo(t, y):\n",
" l = 1\n",
" g = 9.81\n",
" return np.array([\n",
" y[1],\n",
" -g/l * np.sin(y[0])\n",
" ])"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "a7bb3d49-334b-4afe-9901-775872baf2f4",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def AdBash4_RK4(fct, a, b, y0, h):\n",
" t = np.arange(a, b, h)\n",
" y = np.zeros((len(t), len(y0)))\n",
" \n",
" # initialisation\n",
" y[0] = y0\n",
" for i in range(1, 4):\n",
" y[i] = y[i-1] + h * fct(t[i-1], y[i-1])\n",
" \n",
" for i in range(4, len(t)):\n",
" y[i] = y[i-1] + h * (55/24 * fct(t[i-1], y[i-1]) - 59/24 * fct(t[i-2], y[i-2]) + 37/24 * fct(t[i-3], y[i-3]) - 9/24 * fct(t[i-4], y[i-4]))\n",
" \n",
" return t, y"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "1a7b1862-4c30-405c-8621-5a2b35164d67",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0, 'Temps [s]')"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a, b, y0, h = 0, 100, np.array([1, 0]), 0.1\n",
"\n",
"t, y = AdBash4_RK4(f_edo, a, b, y0, h)\n",
"\n",
"\n",
"plt.plot(t,y[:,0], label=\"Adam-Bashforth 4\")\n",
"plt.legend()\n",
"plt.ylabel('Angle')\n",
"plt.xlabel('Temps [s]')"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f0e79f18-4569-472f-a4e6-213fc7c2609d",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.11.5"
}
},
"nbformat": 4,
"nbformat_minor": 5
}