Files
ArtStudies/L3/Equations Différentielles/TP3_Convergence.ipynb
Arthur DANJOU d5a6bfd339 Refactor code for improved readability and consistency across multiple Jupyter notebooks
- Added missing commas in various print statements and function calls for better syntax.
- Reformatted code to enhance clarity, including breaking long lines and aligning parameters.
- Updated function signatures to use float type for sigma parameters instead of int for better precision.
- Cleaned up comments and documentation strings for clarity and consistency.
- Ensured consistent formatting in plotting functions and data handling.
2025-12-13 23:38:17 +01:00

1071 lines
953 KiB
Plaintext

{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
"\\newcommand{\\RR}{\\mathbb{R}}\n",
"\\newcommand{\\R}{\\mathbb{R}}\n",
"\\newcommand{\\N}{\\mathbb{N}}\n",
"$$\n",
"\n",
"\n",
"## L3 Mathématiques - 2023/24 - Univ. Paris-Saclay\n",
"## Analyse théorique et numérique des EDO \n",
"---------------------------------------------------------------------------------------------------------------\n",
"\n",
"## TP 3 : schémas numériques pour les EDO. Convergence et ordre.\n",
"---------------------------------------------------------------------------------------------------------------\n",
"\n",
"## Partie 1 - CC. \n",
"#### <font color='red'>A déposer à la fin sur ecampus, dans la page principal de MEU304, dans le dépôt nommé CC2 groupe_mardi_15h45 (ou à envoyer par mail à jean-baptiste.apoung-kamga@universite-paris-saclay.fr ).</font>\n",
"\n",
"\n",
"Soient $t_0,\\ y_0\\in\\R,\\ f:\\R\\times\\R\\longrightarrow\\R$, et considérons le problème de Cauchy \n",
"\\begin{equation*}\n",
"(PC)\\ \\ \\ \\ \\ \\begin{cases}\n",
" y'(t) & = f(t,y(t)), \\\\\n",
" y(t_0) & = y_0.\n",
"\\end{cases} \n",
"\\end{equation*}\n",
"\n",
"On suppose que ce problème a une unique solution $y:J\\longrightarrow\\mathbb{R}$ définie dans un intervalle $J\\subseteq\\mathbb{R}.$ On s'intéresse à approcher $y$ dans un intervalle de la forme $[t_0, t_0+T]\\subseteq J$, avec $T>0$. \n",
"\n",
"Pour ce faire : \n",
"\n",
" - on se donne $N\\in\\mathbb{N}$ ;\n",
" \n",
" - on définit $h=\\frac{T}{N}$ ;\n",
" \n",
" - on définit une sub-division de $[t_0,t_0+T]$ donnée par les **N+1** points $t_n=t_0+n h,\\ n=0,\\dots,N$ ;\n",
"\n",
" - on définit des valeurs approchées $y^0,\\ y^1,\\cdots,\\ y^N$ de la solution exacte $t\\mapsto y(t)$ de $(PC)$ aux points $t_0,\\ t_1,\\cdots,\\ t_N$ par le schéma suivant :\n",
"\n",
"$$\n",
"\\begin{cases}\n",
"y^0&=y_0,\\\\\n",
"y^{n+1}&=y^{n} + \\frac h2 \\big(f(t_n,y^{n})+f(t_{n+1},\\tilde{y}_{n+1})\\big),\\\\\n",
"&\\ \\ \\ \\ \\textrm{où}\\ \\ \\ \\tilde{y}_{n+1}=y^{n} + h f\\big(t_n+\\frac h2,y^{n}+\\frac h2 f(t_{n},y^n)\\big),\\ \\ \\ \\ \\ \\ \\textrm{pour }\\ n\\in\\{0,\\dots,N-1\\}.\n",
"\\end{cases}\n",
"$$ \n",
"\n",
"**Question 1.** Écrire une fonction python de la forme\n",
"\n",
"`mon_schema(t0, T, y0, h, f)`\n",
"\n",
"(ou de la forme `mon_schema(t0,T,y0,N,f)`, si vous préférez que votre fonction prenne en argument $N$ au lieu de $h$),\n",
"prenant en argument l'instant initiale **t0**, la longueur **T** de l'intervalle de temps $[t_0,t_0+T],$ la donnée initiale $y_0$, le pas de temps $h$ (ou le nombre de points $N$) et la fonction $f$ définissant le second membre de l'EDO. Cette fonction devra retourner deux vecteurs : \n",
"\n",
"- $[t_0,\\, t_1,\\, ...,\\, t_N],$ tableau `numpy` unidimensionnel de taille $(N+1)$ représentant la subdivision de l'intervalle $[t_0,t_0+T]$ de pas $h$ considérée, \n",
"\n",
"- $[y_0,\\, y_1,\\, ...,\\, y_N],$ tableau `numpy` de taille $(N+1)$ représentant la solution approchée aux instants $t_n,\\ n=0,\\dots,N.$\n",
"\n",
"(vous pouvez aussi définir ces vecteurs sous forme de listes).\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"\n",
"## Question 1\n",
"def mon_schema(t0, T, y0, h, f):\n",
" t = np.arange(t0, t0 + T + h, h)\n",
" y = 0 * t\n",
" y[0] = y0\n",
" for n in range(len(t) - 1):\n",
" yn1 = y[n] + h * f(t[n] + h / 2, y[n] + h / 2 * f(t[n], y[n]))\n",
" y[n + 1] = y[n] + h / 2 * (f(t[n], y[n]) + f(t[n + 1], yn1))\n",
" return t, y"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Question 2.** On considère le problème de Cauchy \n",
"\n",
"\\begin{equation*}\n",
"(P)\\ \\ \\ \\ \\ \\begin{cases}\n",
" y'(t) & = y+\\sin(t)y^2 \\\\\n",
" y(0) & = 1.\n",
"\\end{cases} \n",
"\\end{equation*}\n",
"\n",
"On souhaite approcher la solution de cette équation **dans l'intervalle $[0,0.5]$**.\n",
"\n",
"*Remarque : la solution exacte de $(P)$ est $y(t)=\\displaystyle{\\frac{1}{\\frac12e^{-t}+\\frac{\\cos(t)-\\sin(t)}{2}}}.$*\n",
"\n",
"\n",
"**Question 2.** Calculer la solution approchée de $(P)$ obtenue par cette méthode numérique dans l'intervalle de temps $[0,0.5]$, pour $N=100$. Tracer sur une même fenêtre graphique la solution exacte et la solution approchée. Rajouter des légendes et un titre à votre graphique."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f39e37a3b50>"
]
},
"execution_count": 2,
"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": [
"## Question 2\n",
"\n",
"# f second membre de l'EDO\n",
"def f(t, y):\n",
" return y + np.sin(t) * np.power(y, 2)\n",
"\n",
"\n",
"# sol. exacte de (P)\n",
"def yex(t):\n",
" return 1 / (1 / 2 * np.exp(-t) + (np.cos(t) - np.sin(t)) / 2)\n",
"\n",
"\n",
"t0, T = 0, 0.5\n",
"N = 100\n",
"y0 = 1\n",
"t, y_app = mon_schema(t0, T, y0, T / N, f)\n",
"y_ex = yex(t)\n",
"\n",
"plt.figure(1)\n",
"plt.plot(t, y_ex, label=\"Solution exacte\", lw=3)\n",
"plt.plot(t, y_app, \"+ \", label=f\"Solution approchée pour N={N}\")\n",
"plt.title(\"Solutions approchées pour mon_schema\")\n",
"plt.xlabel(\"$t$\")\n",
"plt.ylabel(\"$y$\")\n",
"plt.legend(fontsize=7)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Question 3.** Calculez les solutions approchées de $(P)$ obtenues avec cette méthode numérique, avec $h=0.5/2^s$ (ou $N=2^{s}$) pour $s = 2,3,...,10$. \n",
"\n",
"- **3.1** Représentez dans la même figure la différence en valeur absolue entre la solution exacte et la solution approchée, en fonction du temps, pour chaque valeur de $h$. \n",
"\n",
"- **3.2** Calculez, pour chaque valeur de $h$, l'erreur globale \n",
"\\begin{equation*}\n",
"E_h = \\max_{n=0,\\cdots,N}( |y(t_n)-y^{n}|), \n",
"\\end{equation*} avec $t\\mapsto y(t)$ la solution exacte de $(P)$, et, pour chaque $h=T/N$, $(y^0,\\dots,y^N)$ la solution approchée associée à une discrétisation de pas $h$. \n",
"- **3.2.1** Représentez dans la même figure $E_h/h$ et $E_h/h^2$ en fonction de $N$ (pour ce faire, gardez les valeurs de $E_h$, de $h$ et de $N$, pour $s=2,...,10$, dans des listes ou des tableaux numpy).\n",
"- **3.2.2** Représentez dans une autre figure, en échelle logarithmique, l'erreur $E_h$ en fonction du pas de temps $h$, autrement dit, représentez $\\log(E_h)$ en fonction de $\\log(h)$. Vous devez obtenir des points qui sont à peu près alignés sur une droites. Vérifiez graphiquement que c'est le cas, en représentant des droites de pente $1$ et $2$ (pour ce faire, représentez respectivement $log(h)$ en fonction de $log(h)$ et $2log(h)$ en fonction de $log(h)$). Vérifiez que tous les points semblent être dans une droite paralèlle à une de ces deux droites.\n",
"\n",
"- **3.3** Que semblent montrer les figures des questions 3.2.1 et 3.2.2 sur la convergence du schéma ?\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Solutions approchées de (P) obtenus avec mon_schema pour différentes valeurs du pas h')"
]
},
"execution_count": 3,
"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": [
"# Question 3\n",
"plt.figure(2)\n",
"\n",
"for s in range(2, 11):\n",
" h = (1 / 2) / (2**s)\n",
" t, y_app = mon_schema(t0, T, y0, h, f)\n",
" plt.plot(t, y_app, label=f\"h={h}\")\n",
"\n",
"plt.legend(fontsize=7)\n",
"plt.xlabel(\"$t$\")\n",
"plt.ylabel(\"$y^n$\")\n",
"plt.title(\n",
" \"Solutions approchées de (P) obtenus avec mon_schema pour différentes valeurs du pas h\",\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'différence en valeur absolue entre sol. exacte et sol. approchée par mon_schema, pour différentes valeurs du pas h')"
]
},
"execution_count": 4,
"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": [
"E = []\n",
"H = []\n",
"\n",
"plt.figure(3)\n",
"for s in range(2, 11):\n",
" h = (1 / 2) / (2**s)\n",
" t, y_app = mon_schema(t0, T, y0, h, f)\n",
" y_ex = yex(t)\n",
" err = np.max(np.abs(y_app - y_ex))\n",
" plt.plot(t, np.abs(y_app - y_ex), label=f\"h={h}\")\n",
" E.append(err)\n",
" H.append(h)\n",
"\n",
"plt.legend()\n",
"plt.xlabel(\"$t$\")\n",
"plt.ylabel(\"$|y(t_n) - y^n|$\")\n",
"plt.title(\n",
" \"différence en valeur absolue entre sol. exacte et sol. approchée par mon_schema, pour différentes valeurs du pas h\",\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Erreur globale en fonction de N')"
]
},
"execution_count": 5,
"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": [
"plt.figure(4)\n",
"\n",
"H, E = np.array(H), np.array(E)\n",
"\n",
"plt.plot(T / H, E / H, label=\"$E_h / h$\")\n",
"plt.plot(T / H, E / H**2, label=\"$E_h / h^2$\")\n",
"\n",
"plt.legend()\n",
"plt.xlabel(\"N\")\n",
"plt.ylabel(\"Erreur globale\")\n",
"plt.title(\"Erreur globale en fonction de N\")"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, '$log(E)$')"
]
},
"execution_count": 6,
"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": [
"plt.figure(5)\n",
"\n",
"plt.plot(np.log(H), np.log(E), \"+-\", label=\"erreur\")\n",
"plt.plot(np.log(H), np.log(H), \"-\", label=\"droite pente 1\")\n",
"plt.plot(np.log(H), 2 * np.log(H), \"-\", label=\"droite pente 2\")\n",
"\n",
"plt.legend()\n",
"plt.title(\n",
" \"Erreur pour la méthode mon_schema en echelle logarithmique : log(E) en fonction de log(h)\",\n",
")\n",
"plt.xlabel(\"$log(h)$\")\n",
"plt.ylabel(\"$log(E)$\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Question 3.3\n",
"\n",
"Avec les schemas 3.2.1 et 3.2.2, on remarque que notre schema est d'ordre 2.\n",
"En effet, dans le schema 3.2.1, l'erreur globale d'ordre 1 est nulle quand N augmente alors que l'erreur globale d'ordre 2 est environ égale a 1.5 quand N augmente.\n",
"De plus, dans le schema 3.2.2, la droite d'erreur est parallèle à la droite de pente 2 donc notre schema est convergent d'ordre 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Partie 2. Comparaison de différentes méthodes numériques.\n",
"\n",
"L'objectif de cette partie est de mettre en oeuvre différents schémas numériques pour approcher la solution d'une équation différentielle ordinaire, et de comprendre des notions comme l'ordre de précision d'une méthode numérique. \n",
"\n",
"**Quelques conseils pour l'organisation de vos programmes :** *vous allez programmer plusieurs schémas numériques et les tester sur plusieurs exemples d'EDO. Il est souhaitable de bien organiser votre programme pour ne pas se perdre. Par exemple vous pourrez définir au tout début les fonctions second membre des EDO que vous allez tester, en les appelant par exemple $f1,\\ f2,\\dots.$ Vos fonctions doivent avoir toujours deux variables, $t$ et $y$, même si elles ne dépendent pas de $t$ (comme ça les fonctions définissant les schémas seront adaptées à tous les cas).Vous pourrez ensuite définir les solutions exactes de ces équations, si elles sont connues, en les appelant par exemple $yex1,\\ yex2,\\dots$. Également, vous pouvez définir ensuite les fonctions que vous allez construire pour chacun des schémas. Lorsque vous faites appelle à une fonction pour tester un certain schéma dans une situation concrète, il faut définir avant les paramètres du cas que vous allez tester. Par exemple, faire*\n",
"\n",
"`t0=0`\n",
"\n",
"`tf=1`\n",
"\n",
"`y0=2`\n",
"\n",
"`h=0.5`\n",
"\n",
"`euler_exp(f1, t0, tf, y0, h)`\n",
"\n",
"*au lieu de*\n",
"\n",
"`euler_exp(f1,0,1,2,0.5)`.\n",
"\n",
"*Cela vous permet de facilement changer les paramètres s'il le faut, et la visibilité de votre programme sera aussi facilitée.*\n",
"\n",
"On se donne alors le problème de Cauchy \n",
"\\begin{equation*}\n",
"(PC)\\ \\ \\ \\ \\ \\begin{cases}\n",
" y'(t) & = f(t,y(t)), \\\\\n",
" y(t_0) & = y_0\n",
"\\end{cases} \n",
"\\end{equation*}\n",
"\n",
"où $f:\\R\\times\\R^n\\longrightarrow\\R^n$ (si $n>1$, il s'agit d'un système d'équations différentielles).\n",
"\n",
"Avec les mêmes notations de la partie 1, on va considérer les schémas numériques suivants pour approcher la solution exacte de ce problème :\n",
"\n",
"- **Euler explicite** : $y^{n+1}=y^{n}+h f(t_n,y^{n})$ ; \n",
" \n",
"- **Euler implicite** : $y^{n+1}=y^{n}+h f(t_{n+1},y^{n+1})$ ;\n",
"\n",
"- **Heun** : $y^{n+1}=y^{n}+\\frac{h}{2}\\big(p_1+p_2\\big)$, où\n",
" $p_1=f(t_n,y^{n})$, $\\ p_2=f(t_n+h,y^{n}+h p_1)$ ;\n",
"\n",
"- **Crank-Nicolson** : $y^{n+1}=y^{n}+\\frac{h}{2}\\big(f(t_{n},y^{n})+f(t_{n+1},y^{n+1})\\big)$ ;\n",
"- **Runge Kutta 4** : $y^{n+1}=y^{n}+\\frac{h}{6}(p_1+2p_2+2p_3+p_4)$, où $p_1=f(t_n,y^{n})$, $\\ p_2=f(t_n+\\frac{h}{2},y^{n}+\\frac{h}{2} p_1)$, $\\ p_3=f(t_n+\\frac{h}{2},y^{n}+\\frac{h}{2} p_2)$ et \n",
"$\\ p_4=f(t_n+h,y^{n}+h p_3)$. \n",
"- **Adams-Bashforth à deux pas** : $y^{n+1}=y^{n}+\\frac{h}{2}\\big(3f(t_n,y^{n})-f(t_{n-1},y^{n-1})\\big)$.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Exercice 1.** \n",
"\n",
"Écrire, pour chaque schéma explicite à un pas, une fonction python de la forme\n",
"\n",
"`nom_du_schema(t0, T, y0, h, fct)`\n",
"\n",
"(ou de la forme `mon_schema(t0,T,y0,N,fct)`),\n",
"prenant en argument l'instant initiale **t0**, la longueur **T** de l'intervalle de temps $[t_0,t_0+T],$ la donnée initiale $y_0$, le pas de temps $h$ (ou le nombre de points $N$) et la fonction `fct` définissant le second membre de l'EDO. Cette fonction devra retourner deux tableaux : \n",
"- $[t_0,\\, t_1,\\, ...,\\, t_N],$ tableau `numpy` unidimensionnel de taille $N+1$ représentant la subdivision de l'intervalle $[t_0,t_0+T]$ de pas $h$ considérée, \n",
"- $[y^0,\\, y^1,\\, ...,\\, y^N],$ tableau `numpy` de taille $(N+1)\\times n$ représentant la solution approchée aux instants $t_n,\\ n=0,\\dots,N.$"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def euler_implicite(t0, T, y0, h, f):\n",
" t = np.arange(t0, t0 + T + h, h)\n",
" y = 0 * t\n",
" y[0] = y0\n",
" for n in range(len(t) - 1):\n",
" y[n + 1] = y[n] + h * f(t[n + 1], y[n + 1])\n",
" return t, y\n",
"\n",
"\n",
"def crank(t0, T, y0, h, f):\n",
" t = np.arange(t0, t0 + T + h, h)\n",
" y = 0 * t\n",
" y[0] = y0\n",
" for n in range(len(t) - 1):\n",
" y[n + 1] = y[n] + h / 2 * (f(t[n], y[n]) + f(t[n + 1], y[n + 1]))\n",
" return t, y\n",
"\n",
"\n",
"def adams(t0, T, y0, h, f):\n",
" t = np.arange(t0, t0 + T + h, h)\n",
" y = 0 * t\n",
" y[0] = y0\n",
" for n in range(1, len(t) - 1):\n",
" y[n + 1] = y[n] + h / 2 * (3 * f(t[n], y[n]) - f(t[n - 1], y[n - 1]))\n",
" return t, y"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def euler_explicite(t0, T, y0, h, f):\n",
" N = int(T / h)\n",
" n = len(y0)\n",
" t = np.linspace(t0, t0 + T, N + 1)\n",
" y = np.zeros((N + 1, n))\n",
" y[0,] = y0\n",
" for n in range(N):\n",
" y[n + 1] = y[n] + h * f(t[n], y[n])\n",
" return t, y\n",
"\n",
"\n",
"def heun(t0, T, y0, h, f):\n",
" N = int(T / h)\n",
" n = len(y0)\n",
" t = np.linspace(t0, t0 + T, N + 1)\n",
" y = np.zeros((N + 1, n))\n",
" y[0,] = y0\n",
" for n in range(N):\n",
" p1 = f(t[n], y[n])\n",
" p2 = f(t[n] + h, y[n] + h * p1)\n",
" y[n + 1] = y[n] + h / 2 * (p1 + p2)\n",
" return t, y\n",
"\n",
"\n",
"def runge(t0, T, y0, h, f):\n",
" N = int(T / h)\n",
" n = len(y0)\n",
" t = np.linspace(t0, t0 + T, N + 1)\n",
" y = np.zeros((N + 1, n))\n",
" y[0,] = y0\n",
" for n in range(N):\n",
" p1 = f(t[n], y[n])\n",
" p2 = f(t[n] + h / 2, y[n] + h / 2 * p1)\n",
" p3 = f(t[n] + h / 2, y[n] + h / 2 * p2)\n",
" p4 = f(t[n] + h, y[n] + h * p3)\n",
" y[n + 1] = y[n] + h / 6 * (p1 + 2 * p2 + 2 * p3 + p4)\n",
" return t, y"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" **Exercice 2.** \n",
"\n",
"**Question 1.** Testez les schémas d'Euler explicite, d'Heun et RK4 sur le modèle logistique\n",
"$$\n",
"(P_1)\\ \\ \\ \\ \n",
"\\begin{cases}\n",
"y'(t)=c y (1 - \\frac{y}{b}),\\\\\n",
"y(0)=a,\n",
"\\end{cases}\n",
"$$\n",
"dont la solution exacte est\n",
"$$\n",
"y(t) = \\frac{b}{1 + \\frac{b-a}{a} e^{-ct}},\n",
"$$\n",
"avec les données $c=1$, $b=2$, $a=0.1$, dans l'intervalle $[0,15]$, avec un pas $h=0.2$. Tracer sur la même fenêtre la solution exacte et la solution approchée obtenue avec chacun des schémas. Tracer dans une autre figure, pour chacun des schémas, la différence en valeur absolue entre la solution exacte et la solution approchée. Quelle méthode semble être la meilleure ?\n",
"\n",
"\n",
"**Question 2.** Testez ensuite les 3 schémas dans le cas vectoriel $n>1$ ($n=2$) sur le problème\n",
"$$\n",
"(P_2)\\ \\ \\ \\\n",
"\\begin{cases}\n",
"y''(t) = -y(t) + \\cos(t) \\\\\n",
"y(0) = 5,\\ \\ y'(0) = 1, \n",
"\\end{cases}\n",
"$$\n",
"dont la solution exacte est \n",
"$$\n",
"y(t) = \\frac{1}{2} \\sin(t) t + 5 \\cos(t) + \\sin(t),\n",
"$$\n",
"dans l'intervalle $[0,15]$, avec un pas $h=0.2$.\n",
"\n",
"Pour ce faire, il faut écrire l'équation d'ordre 2 de $(P_2)$ sous la forme d'un système de deux équations d'ordre 1 dans les nouvelles variables $u(t)=y(t)$ et $v(t)=y'(t)$. On se ramènera alors à la résolution d'une équation de la forme\n",
"$$\n",
"X'=F(t,X),\\ \\ \\ \\textrm{avec}\\ X=(u,v)=(y,y')^T.\n",
"$$\n",
"Représenter à nouveau la solution exacte et la solution approchée dans une même fenêtre graphique.\n",
"\n",
"*La solution $y$ de $(P_2)$ correspond à la première composante du vecteur $X$ ci-dessus. Votre fonction `schema` retournera dans ce cas, si vous avez respecté la structure conseillée, un tableau de taille $(N+1)\\times2$, $N$ étant le nombre de points de la discrétisation. Ce tableau donne les valeurs approchées de $X$ au points de la discrétisation considérée, la première colonne correspondant à la première composante de $X$, la seconde à la seconde composante de $X$. La solution approchée de $(P_2)$ que l'on cherche correspond alors à la première colonne de ce tableau.*\n",
"\n",
"**Question 3.** Étude de l'erreur et convergence.\n",
"\n",
"Considérons le problème\n",
"$$\n",
"(P_3)\\ \\ \\ \\\n",
"\\begin{cases}\n",
"y'(t)=\\frac{\\cos(t)-y(t)}{1+t},\\\\\n",
"y(0)=-\\frac14, \n",
"\\end{cases}\n",
"$$\n",
"dont la solution exacte est \n",
"$$\n",
"y(t) = \\frac{\\sin(t)-1/4}{1 + t}.\n",
"$$\n",
"\n",
"Pour chacune des 3 méthodes (EE, Heun et RK4) :\n",
"\n",
"**3.1** Calculez les solutions approchées de $(P_3)$ obtenues avec avec $h=1/2^s$ pour $s = 2,...,10$, sur l'intervalle de temps $[0,10]$. \n",
"\n",
"**3.2** Calculer, pour chaque valeur de $h=1/2^s,\\ s = 1,2,...,10,$ l'erreur globale $E_h$. \n",
"Représentez ensuite dans une même figure, l'erreur en fonction du pas de temps $h$ en échelle logarithmique (autrement dit, représentez $\\log(E_h)$ en fonction de $\\log(h)$), pour chaque méthode. Vous devez obtenir des points qui sont à peu près alignés sur des droites. Vérifiez graphiquement que c'est le cas, en estimant la pente de la droite passant au plus prêt des points (ou en représentant des droites de pente $1,\\ 2$ et $4$ qui passent par un des points et en vérifiant que tous les points sont à peu près sur ces droites).\n",
"\n",
"*Si les points $(log(h),log(E_h))$ sont alignés sur une droite de pente $p$, ceci signifie que $\\log(E_h) \\sim C+p\\log(h)=C+\\log(h^p)$ et donc que $E_h\\sim \\widetilde{C}h^p$, pour certaines constantes $C$ et $\\widetilde{C}$. On dit que la méthode est d'ordre p : c'est l'ordre de la puissance de $h^p$ dans cette relation. On a donc que l'erreur globale $E_h$ tend vers 0 comme $h^p$. L'ordre d'une méthode donne une indication sur sa vitesse de convergence. Une méthode d'ordre $p$ est une méthode dont l'erreur globale tend vers $0$ comme $h^p$. Donc plus l'ordre est élevé, plus la méthode converge plus vite*.\n",
"\n",
"\n",
"**Remarque** : *pour étudier numériquement l'ordre d'une méthode, on utilise souvent l'échelle logarithmique pour tracer l'erreur en fonction du pas de discrétisation $h$. La pente de la droite obtenue donne l'ordre $p$ de la méthode : si $E_h \\sim Ch^p$ alors $\\log(E_h)\\sim \\log(C) + p\\log(h)$.*\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'différence en valeur absolue entre sol. exacte et sol. approchée, pour différents schemas')"
]
},
"execution_count": 9,
"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"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Question 1\n",
"a, b, c = 0.1, 2, 1\n",
"\n",
"\n",
"# f second membre de l'EDO\n",
"def f1(t, y):\n",
" return c * y * (1 - y / b)\n",
"\n",
"\n",
"# sol. exacte de (P1)\n",
"def yex1(t):\n",
" return b / (1 + (b - a) / a * np.exp(-c * t))\n",
"\n",
"\n",
"t0, T = 0, 15\n",
"h = 0.2\n",
"y0 = np.array([a])\n",
"\n",
"plt.figure()\n",
"for schema in [euler_explicite, heun, runge]:\n",
" t, y_app = schema(t0, T, y0, h, f1)\n",
" plt.plot(t, y_app.ravel(), \"+ \", label=f\"Solution approchée par {schema.__name__}\")\n",
"\n",
"t = np.arange(t0, t0 + T + h, h)\n",
"y_ex = yex1(t)\n",
"plt.plot(t, y_ex, label=\"Solution exacte\", lw=1)\n",
"plt.title(f\"Solutions approchées pour le schema {schema.__name__}\")\n",
"plt.xlabel(\"$t$\")\n",
"plt.ylabel(\"$y$\")\n",
"plt.legend(fontsize=7)\n",
"\n",
"plt.figure()\n",
"for schema in [euler_explicite, heun, runge]:\n",
" t, y_app = schema(t0, T, y0, h, f1)\n",
" plt.plot(t, np.abs(y_app.ravel() - yex1(t)), label=f\"Schema {schema.__name__}\")\n",
"\n",
"plt.legend()\n",
"plt.xlabel(\"$t$\")\n",
"plt.ylabel(\"$|y(t_n) - y^n|$\")\n",
"plt.title(\n",
" \"différence en valeur absolue entre sol. exacte et sol. approchée, pour différents schemas\",\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f39d95d84f0>"
]
},
"execution_count": 10,
"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": [
"# Question 2\n",
"def F(t, Y):\n",
" Z = np.zeros_like(Y)\n",
" Z[0] = Y[1]\n",
" Z[1] = -Y[0] + np.cos(t)\n",
" return Z\n",
"\n",
"\n",
"def yexF(t):\n",
" return (1 / 2 * np.sin(t) * t + 5 * np.cos(t) + np.sin(t),)\n",
"\n",
"\n",
"t0, T = 0, 15\n",
"h = 0.2\n",
"Y0 = np.array([5, 1])\n",
"\n",
"plt.figure()\n",
"for schema in [euler_explicite, heun, runge]:\n",
" t, y_app = schema(t0, T, Y0, h, F)\n",
" plt.plot(t, y_app[:, 0], \"+ \", label=f\"Solution approchée par {schema.__name__}\")\n",
"\n",
"t = np.arange(t0, t0 + T + h, h)\n",
"y_ex = yexF(t)\n",
"plt.plot(t, y_ex[0], label=\"Solution exacte\", lw=3)\n",
"plt.title(\"Solutions approchées par differents schemas\")\n",
"plt.xlabel(\"$t$\")\n",
"plt.ylabel(\"$y$\")\n",
"plt.legend(fontsize=7)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"# Question 3\n",
"\n",
"\n",
"# f second membre de l'EDO\n",
"def f3(t, y):\n",
" return (np.cos(t) - y) / (1 + t)\n",
"\n",
"\n",
"# sol. exacte de (P1)\n",
"def yex3(t):\n",
" return (np.sin(t) - 1 / 4) / (1 + t)\n",
"\n",
"\n",
"t0, T = 0, 10\n",
"y0 = np.array([-1 / 4])"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"<Figure size 640x480 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"for schema in [euler_explicite, heun, runge]:\n",
" plt.figure()\n",
" for s in range(2, 11):\n",
" h = 1 / (2**s)\n",
" t, y_app = schema(t0, T, y0, h, f3)\n",
" plt.plot(t, y_app, label=f\"h={h}\")\n",
"\n",
" plt.legend(fontsize=7)\n",
" plt.xlabel(\"$t$\")\n",
" plt.ylabel(\"$y^n$\")\n",
" plt.title(\n",
" f\"Solutions approchées de (P) obtenus avec {schema.__name__} pour différentes valeurs du pas h\",\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for schema in [euler_explicite, heun, runge]:\n",
" H, E = [], []\n",
" plt.figure()\n",
" for s in range(2, 11):\n",
" h = 1 / (2**s)\n",
" t, y_app = schema(t0, T, y0, h, f3)\n",
" E.append(np.max(np.abs(yex3(t) - y_app.ravel())))\n",
" H.append(h)\n",
"\n",
" H, E = np.array(H), np.array(E)\n",
" plt.plot(np.log(H), np.log(E), \"+-\", label=\"erreur\")\n",
" plt.plot(np.log(H), np.log(H), \"-\", label=\"droite pente 1\")\n",
" plt.plot(np.log(H), 2 * np.log(H), \"-\", label=\"droite pente 2\")\n",
" plt.plot(np.log(H), 3 * np.log(H), \"-\", label=\"droite pente 3\")\n",
"\n",
" plt.legend()\n",
" plt.title(\n",
" f\"Erreur pour la méthode {schema.__name__} en echelle logarithmique : log(E) en fonction de log(h)\",\n",
" )\n",
" plt.xlabel(\"$log(h)$\")\n",
" plt.ylabel(\"$log(E)$\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Exercice 3. Problèmes raides**\n",
"\n",
"Nous nous intéressons ici au cas du modèle de Van der Pol :\n",
"\n",
"- Le modèle de Van Der Pol \n",
"$$\n",
"(P)\\ \\ \\ \\ \n",
"\\begin{cases}\n",
"y''(t) = (a-y(t)^2) y'(t) - y(t),\\\\\n",
"y(0) = \\frac{1}{10},\\ \\ y'(0) = 1, \n",
"\\end{cases}\n",
"$$\n",
"dont la solution analytique on ne sait pas calculer, même si elle existe (c'est une conséquence du théorème de Cauchy-Lipschitz). On prendra $a=5$ ou $a=8$, $[t_0,t_f] =[0, 20]$ dans les tests numériques.\n",
"\n",
"**Remarque :** *il n'est pas simple de définir ce que c'est une équation raide. Il s'agit d'équations dont les solutions présentent de grandes variations initiales ou de systèmes d'équations où les échelles de variation des différentes inconnues sont très différentes. Il s'agit d'équations qui sont en général difficiles d'approcher avec des schémas explicites d'ordre bas.*\n",
"\n",
"**Question 1.** Écrivez $(P)$ sous la forme d'un système différentiel de deux équations d'ordre 1. \n",
"\n",
"**Question 2.** Testez tous les schémas explicites proposés lorsque l'on prend $a=8$, $t \\in [0, 20]$ et $h=0.1,\\, 0.05,\\, 0.025$ ? Recommencer avec $a=5$. Commentez les résultats obtenus.\n"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_536/3007116115.py:7: RuntimeWarning: overflow encountered in scalar multiply\n",
" return np.array([Y[1], (a - Y[0]**2) * Y[1] - Y[0]])\n",
"/tmp/ipykernel_536/3007116115.py:7: RuntimeWarning: overflow encountered in scalar power\n",
" return np.array([Y[1], (a - Y[0]**2) * Y[1] - Y[0]])\n",
"/tmp/ipykernel_536/3996006130.py:8: RuntimeWarning: invalid value encountered in add\n",
" y[n+1] = y[n] + h * f(t[n], y[n])\n",
"/tmp/ipykernel_536/3996006130.py:20: RuntimeWarning: invalid value encountered in add\n",
" y[n+1] = y[n] + h/2 * (p1 + p2)\n"
]
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a = 5\n",
"t0, T = 0, 20\n",
"H = [0.1, 0.05, 0.025]\n",
"Y0 = np.array([1 / 10, 1])\n",
"\n",
"\n",
"def P(t, Y):\n",
" return np.array([Y[1], (a - Y[0] ** 2) * Y[1] - Y[0]])\n",
"\n",
"\n",
"for schema in [euler_explicite, heun, runge]:\n",
" plt.figure()\n",
" for h in H:\n",
" t, y_app = schema(t0, T, Y0, h, P)\n",
" plt.plot(t, y_app[:, 0], \"+ \", label=f\"Solution approchée pour h={h}\")\n",
" plt.legend()\n",
" plt.title(f\"Solutions approchees pour differents pas h par {schema.__name__}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Exercice 4. Méthodes multi-pas.** Les méthodes multi-pas, comme la méthode d'Adams-Bashforth, utilisent d'autres points que $(t^n,y(t^n))$ pour calculer une valeur approchée de $y(t^{n+1}).$ L'intérêt de ces méthodes est d'obtenir des méthodes d'ordre élévé pour une compléxité inférieure que les méthodes de Runge-Kutta.\n",
"\n",
"Reprendre les questions de l'exercice précédent pour le schéma d'Adams-Bashforth. On remarque qu'il faut calculer $y^1$ par une autre méthode, on utilisera alors la méthode de Heun. Essayer d'établir numériquement l'ordre de la méthode. \n"
]
},
{
"cell_type": "code",
"execution_count": null,
"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": "3.10.8"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 4
}