{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Runge-Kutta 4th Order Method\n", "\n", "Our goal is to implement the fourth order Runge-Kutta method commonly refered to as RK4. We will compare its accuracy to those of the forward Euler and explicit trapezoidal methods." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.integrate\n", "import numpy.linalg\n", "import matplotlib.pyplot as plt\n", "\n", "def degradation_model( t, y, params ):\n", " y1 = y[0]\n", " y2 = y[1]\n", " dydt = np.zeros( (2,) )\n", " dydt[0] = -params[0] * y1\n", " dydt[1] = -params[1] * y2\n", " return dydt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def forwardEuler( fn, t, y0, params ):\n", " \"\"\" [t,y] = forwardEuler( fn, t, y0, params )\n", " Given a function handle fn for dydt, find the value of\n", " y at timepoints t, given y(0) = y0.\n", " fn takes t, y, and params as input.\n", " t is 1-dimensional (NT,)\n", " y is 2-dimensional (NY,NT)\n", " \"\"\"\n", " y = np.zeros( (y0.size,t.size) )\n", " y[:,0] = y0;\n", " for i in range(1,t.size):\n", " h = t[i]-t[i-1];\n", " yprime = fn(t[i-1],y[:,i-1],params);\n", " y[:,i] = y[:,i-1] + h*yprime;\n", " \n", " return (t,y)\n", "\n", "def explicitTrapezoidal( fn, t, y0, params ):\n", " \"\"\"[t,y] = explicitTrapezoidal( fn, t, y0, params )\n", " Given a function handle fn for y', find the value of\n", " y at timepoints t, assuming y(0) = y0.\n", " fn takes t, y, and params as input.\n", " t is 1-dimensional (NT,)\n", " y is 2-dimensional (NY,NT)\n", " \"\"\"\n", " y = np.zeros( (y0.size,t.size) )\n", " y[:,0] = y0;\n", " for i in range(1,t.size):\n", " h = t[i]-t[i-1];\n", " yprime = fn(t[i-1],y[:,i-1],params);\n", " yhatFE = y[:,i-1] + h*yprime;\n", " yprimehatFE = fn(t[i],yhatFE,params);\n", " y[:,i] = y[:,i-1] + h/2*(yprime+yprimehatFE);\n", "\n", " return (t,y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Implement the method\n", "\n", "\\begin{eqnarray*}\n", "f_1 &=& f\\left(t,\\widehat{y}(t)\\right)\\\\\n", "f_2 &=& f\\left(t+\\frac{\\Delta t}{2}, \\widehat{y}(t) + \\frac{\\Delta t}{2} f_1\\right)\\\\\n", "f_3 &=& f\\left(t+\\frac{\\Delta t}{2}, \\widehat{y}(t) + \\frac{\\Delta t}{2} f_2\\right)\\\\\n", "f_4 &=& f\\left(t+\\Delta t, \\widehat{y}(t) + \\Delta t f_3 \\right)\\\\\n", "\\widehat{y}(t + \\Delta t)&=& \\widehat{y}(t) + \\frac{\\Delta t}{6} \\cdot (f_1 + 2f_2 + 2f_3 + f_4)\\\\\n", "\\end{eqnarray*}" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def RK4( fn, t, y0, params ):\n", " \"\"\"\n", " [t,y] = RK4( fn, t, y0, params )\n", " Given a function handle fn for y', find the value of\n", " y at timepoints t, assuming y(0) = y0.\n", " fn takes t, y, and params as input.\n", " Uses a 4th order explicit Runge-Kutta method\n", " \"\"\"\n", " y = np.zeros( (y0.size,t.size) )\n", " y[:,0] = y0;\n", " for i in range(1,t.size):\n", " h = t[i]-t[i-1];\n", " f1 = fn(t[i-1],y[:,i-1],params);\n", " f2 = fn(t[i-1]+h/2,y[:,i-1]+0.5*h*f1,params);\n", " f3 = fn(t[i-1]+h/2,y[:,i-1]+0.5*h*f2,params);\n", " f4 = fn(t[i],y[:,i-1]+h*f3,params);\n", " y[:,i] = y[:,i-1] + h/6*(f1+2*f2+2*f3+f4);\n", " return (t,y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run and plot result from RK4.\n", "\n", "Run the RK4 method on the degradation model with degradation rates (2,5) and initial conditions (1,1) with time beginning at 0 and ending at 2.\n", "\n", "Then plot the true solution (solid lines) and the forward Euler's solution (dashed lines), explicit Trapezoidal's solution (dotted lines), and RK4' solution (dash-dotted lines).\n", "\n", "Then plot the difference over time between the true solution and each of the other methods." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "params = (2,5)\n", "y0 = np.array([1,1])\n", "dt = 0.1\n", "t = np.arange(0,2,dt)\n", "(tFE,yFE) = forwardEuler( degradation_model, t, y0, params)\n", "(tET,yET) = explicitTrapezoidal( degradation_model, t, y0, params)\n", "(t,y) = RK4( degradation_model, t, np.array([1,1]), params)\n", "tru_y1 = y0[0]*np.exp(-params[0]*t)\n", "tru_y2 = y0[1]*np.exp(-params[1]*t)\n", "tru_y = np.vstack( ( tru_y1, tru_y2) )\n", "\n", "plt.figure( figsize = (8,6) )\n", "plt.subplot(3,1,1)\n", "plt.plot( t, tru_y.T )\n", "plt.gca().set_prop_cycle(None) # this resets the color cycle\n", "plt.plot( tFE, yFE.T, '--' );\n", "plt.gca().set_prop_cycle(None) # this resets the color cycle\n", "plt.plot( tET, yET.T, ':' );\n", "plt.gca().set_prop_cycle(None) # this resets the color cycle\n", "plt.plot( t, y.T, '-.' );\n", "plt.legend(['Y1','Y2','FE Y1','FE Y2','ET Y1','ET Y2','RK4 Y1','RK4 Y2'],\n", " bbox_to_anchor=(1.05, 1), loc='upper left', borderaxespad=0., )\n", "\n", "plt.subplot( 3, 1, 2)\n", "plt.plot( t, tru_y.T-yFE.T, '--' );\n", "plt.gca().set_prop_cycle(None) # this resets the color cycle\n", "plt.plot( t, tru_y.T-yET.T, ':' );\n", "plt.gca().set_prop_cycle(None) # this resets the color cycle\n", "plt.plot( t, tru_y.T-y.T, '-.' );\n", "plt.legend(['Y1 - FE Y1','Y2 - FE Y2','Y1 - ET Y1','Y2 - ET Y2','Y1 - RK4 Y1','Y2 - RK4 Y2'],\n", " bbox_to_anchor=(1.05, 1), loc='upper left', borderaxespad=0., )\n", "plt.subplot( 3, 1, 3)\n", "plt.plot( t, tru_y.T-y.T, '-.' );\n", "plt.legend(['Y1 - RK4 Y1','Y2 - RK4 Y2'])\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# range from smallest timestep that doesn't take way too long to run to largest time step with qualitatively correct answer.\n", "dts = np.linspace(1e-4,0.2,10)\n", "errFE = np.zeros( (dts.size,) )\n", "errET = np.zeros( (dts.size,) )\n", "errRK4 = np.zeros( (dts.size,) )\n", "params = (2,5)\n", "y0 = np.array((1,1))\n", "\n", "plt.figure(figsize=(8,12))\n", "for i in range(dts.size):\n", " t = np.arange(0,4,dts[i])\n", " sol = scipy.integrate.solve_ivp(fun=degradation_model, t_span=(0,4), y0=y0, method='LSODA', rtol=1e-8, atol=1e-8, t_eval=t, args=[params] )\n", " (t,y) = forwardEuler( degradation_model, t, y0, params)\n", " plt.subplot( dts.size, 1, i+1 )\n", " plt.plot( t, sol.y.T )\n", " plt.gca().set_prop_cycle(None) # this resets the color cycle\n", " plt.plot( t, y.T, '--')\n", " errFE[i] = np.mean(scipy.linalg.norm( sol.y-y, 2, axis=0) )\n", " plt.gca().set_prop_cycle(None) # this resets the color cycle\n", " (t,y) = explicitTrapezoidal( degradation_model, t, y0, params)\n", " plt.plot( t, y.T, ':')\n", " errET[i] = np.mean(scipy.linalg.norm( sol.y-y, 2, axis=0) )\n", " (t,y) = RK4( degradation_model, t, y0, params)\n", " errRK4[i] = np.mean(scipy.linalg.norm( sol.y-y, 2, axis=0) )\n", "plt.tight_layout()\n", " \n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot( dts, errFE, 'C0.-' );\n", "plt.plot( dts, errET, 'C1.-' );\n", "plt.plot( dts, errRK4, 'C2.-' );\n", "plt.legend( ['FE Error','ET Error','RK4 Error']);\n", "plt.xlabel( 'Size of Time Step');\n", "plt.ylabel( 'Error');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bonus Code\n", "### Examine substeps\n", "\n", "Examine the substeps taken to get the final slope estimate." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fn = lambda t, y, params: -params[0]*y\n", "params = (5,)\n", "y0 = 1\n", "t0 = 0\n", "h = 0.2\n", "tru_t = np.linspace( t0, t0+h, 10 )\n", "tru_y = y0*np.exp(-params[0]*tru_t)\n", "\n", "f1 = fn(t0,y0,params);\n", "k1_t = t0+h/2\n", "k1_y = y0+0.5*h*f1\n", "f2 = fn(k1_t,k1_y,params);\n", "k2_t = t0+h/2\n", "k2_y = y0+0.5*h*f2\n", "f3 = fn(k2_t,k2_y,params);\n", "k3_t = t0+h\n", "k3_y = y0+h*f3\n", "f4 = fn(k3_t,k3_y,params);\n", "kf_y = y0 + h/6*(f1+2*f2+2*f3+f4);\n", "kf_t = t0 + h\n", "eps = h/10;\n", "\n", "plt.plot( tru_t, tru_y.T, 'C0' ); # true Y\n", "plt.plot( [t0,k1_t], [y0,k1_y], 'C1--' ); # Step 1\n", "plt.plot( [k1_t-eps,k1_t+eps], [k1_y-eps*f2,k1_y+eps*f2], 'C2') # slope for step 2\n", "plt.plot( [t0,k2_t], [y0,k2_y], 'C2--' );\n", "plt.plot( [k2_t-eps,k2_t+eps], [k2_y-eps*f3,k2_y+eps*f3], 'C3')\n", "plt.plot( [t0,k3_t], [y0,k3_y], 'C3--' );\n", "plt.plot( [k3_t-eps,k3_t+eps], [k3_y-eps*f4,k3_y+eps*f4], 'C5')\n", "plt.plot( [t0,kf_t], [y0,kf_y], 'C4--' );\n", "plt.plot( k1_t, k1_y, 'C1.')\n", "plt.plot( k2_t, k2_y, 'C2.')\n", "plt.plot( k3_t, k3_y, 'C3.')\n", "plt.plot( kf_t, kf_y, 'C4.')\n", "plt.legend( bbox_to_anchor=(1.05, 1), loc='upper left', borderaxespad=0., \n", " labels=['True Y', 'Step 1','Slope for Step 2','Step 2','Slope for Step 3','Step 3','Slope to be used with others for Step 4','Step 4']);\n", "plt.xlabel( 'Time')\n", "plt.ylabel( 'Y');" ] } ], "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }