{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as pt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "def rk4_step(y, t, h, f):\n", " k1 = f(t, y)\n", " k2 = f(t+h/2, y + h/2*k1)\n", " k3 = f(t+h/2, y + h/2*k2)\n", " k4 = f(t+h, y + h*k3)\n", " return y + h/6*(k1 + 2*k2 + 2*k3 + k4)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider the second-order harmonic oscillator\n", "\n", "$$u''=-u$$\n", "\n", "with initial conditions $u(0) = 1$ and $u'(0)=0$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def f(t, y):\n", " u, up = y\n", " return np.array([up, -u])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "times = [0]\n", "y_values = [np.array([1,0])]\n", "\n", "h = 0.5\n", "t_end = 800\n", "\n", "while times[-1] < t_end:\n", " y_values.append(rk4_step(y_values[-1], times[-1], h, f))\n", " times.append(times[-1]+h)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "y_values = np.array(y_values)\n", "\n", "pt.figure(figsize=(15,5))\n", "pt.plot(times, y_values[:, 0])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 23, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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XJS0fGhGkXhy3cPfqlvX5Cw93x2sJAAV3VqWycNxzT2t/9+/ayY5IkO7urvvOWyakLUH6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\nD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Cj3EBIUg4V7dpbf8O0hQV6BFCFvVh15YhWZYUeJU9ff2W0MzQxo/be3jqzlbej9vO3S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\nXNovK2GIiHmpTDZurc7LNekjxJEJAM4031lCQ7tvP75qMkijE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