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@pomo-mondreganto
Created May 21, 2020 19:37
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Runge-Kutta algorithm of rank 4
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from matplotlib import pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"class RK:\n",
" A = [\n",
" [0],\n",
" [0, 1],\n",
" [0, 2/3, 2/3],\n",
" [0, 1/2, 1/2, 1]\n",
" ]\n",
"\n",
" B = [\n",
" [[]],\n",
" [[], [1]],\n",
" [[], [2/3], [-1/3, 1]],\n",
" [[], [1/2], [0, 1/2], [0, 0, 1]]\n",
" ]\n",
"\n",
" P = [\n",
" [1],\n",
" [1/2, 1/2],\n",
" [1/4, 2/4, 1/4],\n",
" [1/6, 2/6, 2/6, 1/6]\n",
" ]\n",
"\n",
" def __init__(self, rank, step):\n",
" self.rank = rank\n",
" self.step = step\n",
"\n",
" @property\n",
" def solver(self):\n",
" return self.solve\n",
"\n",
" def get(self, constraints, functions, increment):\n",
" if self.rank <= 0:\n",
" raise ValueError(\"Invalid rank\")\n",
"\n",
" if self.rank > 4:\n",
" raise NotImplementedError\n",
"\n",
" k = [[] for _ in range(len(functions))]\n",
"\n",
" for i in range(self.rank):\n",
" for j in range(len(functions)):\n",
" arguments = [\n",
" constraints[0] + self.A[self.rank - 1][i] * increment\n",
" ]\n",
"\n",
" for t in range(len(constraints[1])):\n",
" delta = sum(\n",
" k[t][q] * self.B[self.rank - 1][i][q]\n",
" for q in range(i)\n",
" )\n",
" arguments.append(constraints[1][t] + delta)\n",
"\n",
" k[j].append(increment * functions[j](*arguments))\n",
"\n",
" result = tuple(\n",
" constraints[1][i] + sum(\n",
" self.P[self.rank - 1][j] * k[i][j] \n",
" for j in range(self.rank)\n",
" ) \n",
" for i in range(len(constraints[1]))\n",
" )\n",
"\n",
" return (constraints[0] + increment, result)\n",
"\n",
" def solve(self, constraints, functions, n_steps):\n",
" left_points = [constraints]\n",
" for i in range(n_steps):\n",
" left_points.append(self.get(left_points[-1], functions, -self.step))\n",
"\n",
" right_points = [constraints]\n",
" for i in range(n_steps):\n",
" right_points.append(self.get(right_points[-1], functions, self.step))\n",
"\n",
" return left_points[::-1] + right_points[1:]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"class Euler:\n",
" def __init__(self, step):\n",
" self.step = step\n",
"\n",
" @property\n",
" def solver(self):\n",
" return RK(1, self.step).solver\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Model solutions"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def Y1(t):\n",
" return np.sin(t) * np.cos(t)\n",
"\n",
"def Y2(t):\n",
" return np.sin(t)\n",
"\n",
"def Y3(t):\n",
" return np.exp(np.arctan(t ** 2))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Constraints\n",
"\n",
"$y_1(0) = y_2(0) = y_3(0) = 0$"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"constraints = (0, (Y1(0), Y2(0), Y3(0)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Equations"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"functions = [\n",
" lambda t, y1, y2, y3: np.cos(t) ** 2 - y2 ** 2,\n",
" lambda t, y1, y2, y3: np.cos(t),\n",
" lambda t, y1, y2, y3: 2 * y3 * t / (1 + np.power(t, 4))\n",
"]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`solution` now contains solution data in format $(t, (y_1(t), y_2(t))$."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"eu_solver = RK(1, 0.2).solver\n",
"eu_solution = eu_solver(constraints, functions, 70)\n",
"eu_X = tuple(map(lambda x: x[0], eu_solution))\n",
"eu_solY1 = tuple(map(lambda x: x[1][0], eu_solution))\n",
"eu_solY2 = tuple(map(lambda x: x[1][1], eu_solution))\n",
"eu_solY3 = tuple(map(lambda x: x[1][2], eu_solution))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"rk_solver = RK(4, 0.2).solver\n",
"rk_solution = rk_solver(constraints, functions, 70)\n",
"rk_X = tuple(map(lambda x: x[0], rk_solution))\n",
"rk_solY1 = tuple(map(lambda x: x[1][0], rk_solution))\n",
"rk_solY2 = tuple(map(lambda x: x[1][1], rk_solution))\n",
"rk_solY3 = tuple(map(lambda x: x[1][2], rk_solution))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 2160x720 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, (ax1, ax3, ax2) = plt.subplots(1, 3, figsize=(30,10), sharey=True)\n",
"\n",
"\n",
"mX = np.arange(np.min(eu_X), np.max(eu_X), 0.01)\n",
"ax1.plot(mX, Y1(mX), color='blue')\n",
"ax1.plot(mX, Y2(mX), color='orange')\n",
"ax1.plot(mX, Y3(mX), color='cyan')\n",
"ax1.legend((\"Y1\", \"Y2\", \"Y3\"),loc=\"upper right\")\n",
"ax1.title.set_text('Model solution')\n",
"\n",
"ax2.plot(eu_X, eu_solY1, color='blue')\n",
"ax2.plot(eu_X, eu_solY2, color='orange')\n",
"ax2.plot(eu_X, eu_solY3, color='cyan')\n",
"ax2.legend((\"Y1\", \"Y2\", \"Y3\"),loc=\"upper right\")\n",
"ax2.title.set_text('Euler solution')\n",
"\n",
"ax3.plot(rk_X, rk_solY1, color='blue')\n",
"ax3.plot(rk_X, rk_solY2, color='orange')\n",
"ax3.plot(rk_X, rk_solY3, color='cyan')\n",
"ax3.legend((\"Y1\", \"Y2\", \"Y3\"),loc=\"upper right\")\n",
"ax3.title.set_text('Runge-Kung solution')\n",
"\n",
"\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Dirty 3.7",
"language": "python",
"name": "dirty3.7"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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