236 lines
124 KiB
Plaintext
236 lines
124 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 82,
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"id": "cd435d88-7613-4888-b731-2563dfe481c7",
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"metadata": {
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"tags": []
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},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 83,
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"id": "a8ddf0ad-fbc5-481b-ac44-3fef2dfb56db",
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"metadata": {
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"tags": []
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},
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"outputs": [],
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"source": [
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"def f_edo(t, y):\n",
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" return np.sin(t) - np.sin(6*t) - 3*y"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 84,
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"id": "06b3136b-a310-46af-940c-fa4ab2cff33c",
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"metadata": {
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"tags": []
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},
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"outputs": [],
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"source": [
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"def euler_expl(fct, a, b, y0, h):\n",
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" y = y0\n",
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" t = a\n",
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" \n",
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" N = int((b-a)/h)\n",
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" r = [(t, y0)] \n",
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" \n",
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" for k in range(N):\n",
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" y += h*fct(t, y)\n",
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" r.append((t+h,y))\n",
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" t+=h\n",
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" return r"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 85,
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"id": "dbbb8ea1-116f-4f27-8ad7-ee42a0ab5556",
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"metadata": {
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"tags": []
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},
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"outputs": [],
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"source": [
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"def RK2(fct, a, b, y0, h):\n",
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" y = y0\n",
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" t = a\n",
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" N = int((b-a)//h)\n",
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" r = [(t, y0)]\n",
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" \n",
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" for i in range(N):\n",
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" k1 = fct(t, y)\n",
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" k2 = fct(t+h, y+h*k1)\n",
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" \n",
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" y = y+ h*(.5*k1+.5*k2)\n",
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" r.append((t+h,y))\n",
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" t+=h\n",
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" return r"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 86,
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"id": "b398c503-919f-4d4f-9cfe-0449b7c48a86",
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"metadata": {
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"tags": []
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},
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"outputs": [],
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"source": [
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"def RK3(fct, a, b, y0, h):\n",
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" y = y0\n",
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" t = a\n",
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" N = int((b-a)//h)\n",
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" r = [(t, y0)]\n",
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" \n",
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" for i in range(N):\n",
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" k1 = fct(t+0*h, y)\n",
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" k2 = fct(t+2/3*h, y+h*k1*2/3)\n",
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" k3 = fct(t+2/3*h, y+h*k1*1/3 + h*k2*1/3 )\n",
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" \n",
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" y = y+ h*(.25*k1+0*k2+.75*k3)\n",
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" r.append((t+h,y))\n",
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" t+=h\n",
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" return r"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 92,
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"id": "e8aa9ef5-61d7-46a6-a41b-72fea746ccf3",
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"metadata": {
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"tags": []
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},
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"outputs": [],
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"source": [
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"def RK4(fct, a, b, y0, h):\n",
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" y = y0\n",
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" t = a\n",
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" N = int((b-a)//h)\n",
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" r = [(t, y0)]\n",
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" \n",
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" for i in range(N):\n",
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" k1 = fct(t+0*h, y)\n",
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" k2 = fct(t+1/2*h, y+h*k1*1/2)\n",
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" k3 = fct(t+1/2*h, y+h*k1*0 + h*k2*1/2 )\n",
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" k4 = fct(t+1*h, y+h*k1*0 + h*k2*0 + h *k3*1 )\n",
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" \n",
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" y = y+ h*(1/6*k1+2/6*k2+2/6*k3+1/6*k4)\n",
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" r.append((t+h,y))\n",
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" t+=h\n",
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" return r"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 93,
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"id": "63cbd3c9-1026-4d59-9fdf-d268a487ad51",
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"metadata": {
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"tags": []
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},
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"outputs": [
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{
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"data": {
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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"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, 1.5, 1, .1\n",
|
|
"\n",
|
|
"def plot(edo, label):\n",
|
|
" r = edo(f_edo, a,b,y0,h)\n",
|
|
"\n",
|
|
" x = [x[0] for x in r]\n",
|
|
" y = [x[1] for x in r]\n",
|
|
"\n",
|
|
" plt.plot(x,y, label=label)\n",
|
|
" \n",
|
|
"plot(euler_expl, \"Euler\")\n",
|
|
"plot(RK2, \"RK2\")\n",
|
|
"plot(RK3, \"RK3\")\n",
|
|
"plot(RK4, \"RK4\")\n",
|
|
"\n",
|
|
"x = np.linspace(0, 1.5, 200)\n",
|
|
"y = (29*np.exp(-3*x) + 9*np.sin(x)-2*np.sin(6*x)-3*np.cos(x)+4*np.cos(6*x))/30\n",
|
|
"\n",
|
|
"def ff(x):\n",
|
|
" return (29*np.exp(-3*x) + 9*np.sin(x)-2*np.sin(6*x)-3*np.cos(x)+4*np.cos(6*x))/30\n",
|
|
"\n",
|
|
"\n",
|
|
"plt.plot(x,y, label=\"Vrai solution\")\n",
|
|
"\n",
|
|
"plt.legend()\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"b=5\n",
|
|
"def plot(edo, label):\n",
|
|
" r = edo(f_edo, a,b,y0,h)\n",
|
|
"\n",
|
|
" x = np.array([x[0] for x in r])\n",
|
|
" y = np.array([x[1] for x in r])\n",
|
|
" #print(label, y)\n",
|
|
" plt.plot(x, np.abs(y-ff(x)), label=label)\n",
|
|
" \n",
|
|
"plot(euler_expl, \"Euler\")\n",
|
|
"plot(RK2, \"RK2\")\n",
|
|
"plot(RK3, \"RK3\")\n",
|
|
"plot(RK4, \"RK4\")\n",
|
|
"plt.yscale('log')\n",
|
|
"plt.legend()\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "635c32ce-ab45-4083-87d8-4b312f79dbdc",
|
|
"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
|
|
}
|