Created
September 30, 2018 11:27
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Ctrl+enter en la celda de abajo para correr el script" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import matplotlib.pyplot as plt\n", | |
| "%matplotlib inline\n", | |
| "\n", | |
| "# Equation\n", | |
| "def f(x, y):\n", | |
| " return (3*x*x*y)\n", | |
| "\n", | |
| "def t4(x, y, h):\n", | |
| " k1 = f(x, y)\n", | |
| " k2 = f(x + (h / 2.0), y + k1*(h/2.0))\n", | |
| " k3 = f(x + (h / 2.0), y + k2*(h/2.0))\n", | |
| " k4 = f(x + h, y + (k3*h))\n", | |
| " return ((1/6.0)*(k1 + 2*k2 + 2*k3 + k4))\n", | |
| "\n", | |
| "def rungeKutta(x0, y0, h, iter):\n", | |
| " result = [(x0, y0)]\n", | |
| "\n", | |
| " x = x0\n", | |
| " y = y0\n", | |
| "\n", | |
| " for i in range(1, iter):\n", | |
| " yn = y + (h * t4(x, y, h))\n", | |
| " x = x + h\n", | |
| " y = yn\n", | |
| " result.append((x, y))\n", | |
| " return result\n", | |
| "\n", | |
| "if __name__ == '__main__':\n", | |
| " x0 = 0\n", | |
| " y0 = 1\n", | |
| " h = 0.1\n", | |
| " iters = 100\n", | |
| " result = rungeKutta(x0, y0, h, iters)\n", | |
| " # print(result)\n", | |
| "\n", | |
| " axes = plt.gca()\n", | |
| " # X axis range\n", | |
| " axes.set_xlim([0, 8])\n", | |
| " # Y axis range\n", | |
| " axes.set_ylim([0, 7])\n", | |
| "\n", | |
| " plt.grid()\n", | |
| " plt.plot([i[0] for i in result], [j[1] for j in result])\n", | |
| " plt.show()" | |
| ] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3", | |
| "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": "3.6.6" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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