{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "peripheral-pontiac",
   "metadata": {},
   "source": [
    "# Systems of ODEs and Higher Order ODEs"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "meaningful-saturday",
   "metadata": {},
   "source": [
    "**References:**\n",
    "\n",
    "- Section 6.3 *Systems of Ordinary Differential Equations* in {cite}`Sauer`, to Sub-section 6.3.1 *Higher order equations*.\n",
    "- Section 5.9 *Higher Order Equations and Systems of Differential Equations* in {cite}`Burden-Faires`."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "parental-crash",
   "metadata": {},
   "source": [
    "The short version of this section is that the numerical methods and algorithms developed so for for the initial value problem"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "flexible-cycling",
   "metadata": {},
   "source": [
    "$$\n",
    "\\begin{split}\n",
    "\\frac{d u}{d t} &= f(t, u(t)), \\quad a \\leq t \\leq b\n",
    "\\\\\n",
    "u(a) &= u_0\n",
    "\\end{split}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "african-large",
   "metadata": {},
   "source": [
    "all also work for system of first order ODEs by simply letting $u$ and $f$ be vector-valued,\n",
    "and for that, the Python code requires only one small change.\n",
    "\n",
    "Also, higher order ODE's (and systems of them) can be converted into systems of first order ODEs."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b1474d6d-2127-4a48-9449-0258b5d4c066",
   "metadata": {},
   "source": [
    "## Converting a second order ODE to a first order system\n",
    "\n",
    "To convert \n",
    "\n",
    "$$ y'' = f(t, y, y') $$\n",
    "\n",
    "with initial conditions\n",
    "\n",
    "$$ y(a) = y_0, \\; y'(a) = v_0 $$\n",
    "\n",
    "to a first order system, introduction the two functions\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "u_1(t) &= y(t)\n",
    "\\\\\n",
    "u_2(t) &= \\frac{d y}{d t}, = u_1'(t)\n",
    "\\end{split}\n",
    "$$\n",
    "\n",
    "Then\n",
    "\n",
    "$$ y'' = u_1' = f(t, u_0, u_1) $$\n",
    "\n",
    "and combining with the definition of $u_1$ gives the system\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "u_0' &= u_1\n",
    "\\\\\n",
    "u_1' &= f(t, u_0, u_1)\n",
    "\\\\\n",
    "&\\text{with initial conditions}\n",
    "\\\\\n",
    "u_0(a) &= y_0\n",
    "\\\\\n",
    "u_1(a) &= v_0\n",
    "\\end{split}\n",
    "$$\n",
    "\n",
    "Next this can be put into vector form.\n",
    "Defining the vector-valued functions\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "\\tilde{u}(t) &= \\langle u_1(t), u_2(t) \\rangle\n",
    "\\\\\n",
    "\\tilde{f}(t, \\tilde{u}(t)) &= \\left\\langle u_1(t), f(t, u_2(t), u_2(t)) \\right\\rangle\n",
    "\\end{split}\n",
    "$$\n",
    "\n",
    "and initial data vector\n",
    "\n",
    "$$\\tilde{u}_0 = \\langle u_{0,1}, u_{0,2} \\rangle = \\langle y_0, v_0 \\rangle$$\n",
    "\n",
    "puts the equation into the form\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "\\frac{d \\tilde{u}}{d t} &= \\tilde{f}(t, \\tilde{u}(t)), \\quad a \\leq t \\leq b\n",
    "\\\\\n",
    "\\tilde{u}(a) &= \\tilde{u}_0\n",
    "\\end{split}\n",
    "$$\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "\\frac{d \\tilde{u}}{d t} &= \\tilde{f}(t, \\tilde{u}(t)), \\quad a \\leq t \\leq b\n",
    "\\\\\n",
    "\\tilde{u}(a) &= \\tilde{u}_0\n",
    "\\end{split}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab604630-c725-44a7-ae11-81ead0a26ea0",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Test Cases\n",
    "\n",
    "In this and subsequent sections, numerical methods for higher order equations and systems will be compared using several equations seen in\n",
    "{ref}`the first section of this chapter <ode-examples>`:\n",
    "\n",
    "- {prf:ref}`ode-damped-mass-spring` $\\displaystyle M \\frac{d^2 u}{d t^2} = -K u - D \\frac{d u}{d t}$ (a Mass-Spring System).\n",
    "\n",
    "- {prf:ref}`ode-freely-rotating-pendulum` $M L \\theta'' = -M g\\sin\\theta - D L \\theta'$ (The Freely Rotating Pendulum).\n",
    "\n",
    "%- {prf:ref}`ode-fast-slow` $u'' + (K+1) u' + K u = 0$ (with fast and slow time scales for large $K$)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5f1a6f99-c13a-449f-881f-9bd3dab67dd5",
   "metadata": {},
   "outputs": [],
   "source": [
    "using PyPlot\n",
    "include(\"NumericalMethods.jl\")\n",
    "using .NumericalMethods: approx4"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e0bb463d-781f-4cc1-a5eb-e00deee4c0a6",
   "metadata": {},
   "source": [
    "The Euler's method code from before does not quite work, but only slight modification is needed;\n",
    "that \"scalar\" version"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b701848e-6bab-42c4-a6cb-e5738d950f39",
   "metadata": {},
   "outputs": [],
   "source": [
    "function eulermethod(f, a, b, u_0, n)    \n",
    "    h = (b-a)/n\n",
    "    t = range(a, b, n+1)\n",
    "    U = zeros(n+1)\n",
    "    U[1] = u_0\n",
    "    for i in 1:n\n",
    "        U[i+1] = U[i] + f(t[i], U[i])*h\n",
    "    end\n",
    "    return (t, U)\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "873b166e-0bae-4cff-84f5-7d0b38aeaacd",
   "metadata": {},
   "source": [
    "becomes "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1efee9b5-ef75-49b9-96ae-8014223ee3c3",
   "metadata": {},
   "outputs": [],
   "source": [
    "function eulermethod_system(f, a, b, u_0, n)\n",
    "    # TO DO: one could use multiple dispatch to keep the name \"eulermethod\".\n",
    "    # The conversion for the system version is mainly \"U[i] -> U[i,:]\"\n",
    "    \n",
    "    h = (b-a)/n\n",
    "    t = range(a, b, n+1)\n",
    "    \n",
    "    # The following three lines and the one in the for loop below change for the system version\n",
    "    n_unknowns = length(u_0)\n",
    "    U = zeros(n+1, n_unknowns)\n",
    "    U[1,:] = u_0  # Only for system version\n",
    "\n",
    "    for i in 1:n\n",
    "        U[i+1,:] = U[i,:] + f(t[i], U[i,:])*h  # For the system version\n",
    "    end\n",
    "    return (t, U)\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30e6e08d-91aa-490f-b2ce-f306524b8215",
   "metadata": {},
   "source": [
    "**Note.** Here and below, these notes follow the convention of using lowercase letters for exact solutions; uppercase for numerical approximations."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "69c99147-79e2-48a2-a749-55226fa1db9c",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Solving the Damped Mass-Spring System\n",
    "({prf:ref}`ode-damped-mass-spring`)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "local-congress",
   "metadata": {},
   "outputs": [],
   "source": [
    "f_mass_spring(t, u) = [ u[2], -(K/M)*u[1] - (D/M)*u[2] ];"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5907cc57-a99d-47cb-a875-57d7338c016f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "E_mass_spring(y, Dy) = (K * y^2 + M * Dy^2)/2;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "234f605d-fc04-4f12-a64a-735a32094e37",
   "metadata": {},
   "outputs": [],
   "source": [
    "function y_mass_spring(t; t_0, u_0, K, M, D)\n",
    "    (y_0, v_0) = u_0\n",
    "    discriminant = D^2 - 4K*M\n",
    "    if discriminant < 0  # underdamped\n",
    "        omega = sqrt(4K*M - D^2)/(2M)\n",
    "        A = y_0\n",
    "        B = (v_0 + y_0*D/(2M))/omega\n",
    "        return exp(-D/(2M)*(t-t_0)) * ( A*cos(omega*(t-t_0)) + B*sin(omega*(t-t_0)))\n",
    "    elseif discriminant > 0  # overdamped\n",
    "        Delta = sqrt(discriminant)\n",
    "        lambda_plus = (-D + Delta)/(2M)\n",
    "        lambda_minus = (-D - Delta)/(2M)\n",
    "        A = M*(v_0 - lambda_minus * y_0)/Delta\n",
    "        B = y_0 - A\n",
    "        return A*exp(lambda_plus*(t-t_0)) + B*exp(lambda_minus*(t-t_0))\n",
    "    else\n",
    "        lambda = -D/(2M)\n",
    "        A = y_0\n",
    "        B = v_0 - A * lambda\n",
    "        return (A + B*t)*exp(lambda*(t-t_0))\n",
    "    end\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a0c12b7d-cf44-4bc4-84b8-b0d4f2f44543",
   "metadata": {},
   "outputs": [],
   "source": [
    "function damping(K, M, D)\n",
    "    if D == 0\n",
    "        println(\"Undamped\")\n",
    "    else\n",
    "        discriminant = D^2 - 4K*M\n",
    "        if discriminant < 0\n",
    "            println(\"Underdamped\")\n",
    "        elseif discriminant > 0\n",
    "            println(\"Overdamped\")\n",
    "        else\n",
    "            println(\"Critically damped\")\n",
    "        end\n",
    "    end\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ceea8b7-3305-454c-b506-97805830d18b",
   "metadata": {
    "tags": []
   },
   "source": [
    "The above functions are available in module `NumericalMethods`;\n",
    "they will be used in later sections."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "85715171-c024-4a50-b00d-2a91c00daa6e",
   "metadata": {},
   "source": [
    "### First solve without damping, so the solutions have sinusoidal solutions\n",
    "\n",
    "Note: the orbits go clockwise for undamped (and underdamped) systems."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "316f1231-be37-4bbc-ac6f-4b33c6cd0143",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 600x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "M = 1.0\n",
    "K = 1.0\n",
    "D = 0.0\n",
    "y_0 = 1.0\n",
    "Dy_0 = 0.0\n",
    "u_0 = [y_0, Dy_0]\n",
    "a = 0.0\n",
    "periods = 4\n",
    "b = 2pi * periods\n",
    "\n",
    "stepsperperiod = 500\n",
    "n = Int(stepsperperiod * periods)\n",
    "\n",
    "(t, U) = eulermethod_system(f_mass_spring, a, b, u_0, n)\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=u_0, K=K, M=M, D=D)  # Exact solution\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"y for K/M=$(K/M), D=$D by Euler's method with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "xlabel(\"t\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)\n",
    "\n",
    "# Phase plane diagram; for D=0 the exact solutions are ellipses (circles if M = k)\n",
    "figure(figsize=[6,6])  # Make axes equal length; orbits should be circular or \"circular spirals\" \n",
    "title(\"The orbit\")\n",
    "plot(Y, DY)\n",
    "xlabel(\"y\")\n",
    "ylabel(\"dy/dt\")\n",
    "plot(Y[1], DY[1], \"g*\", label=\"start\")\n",
    "plot(Y[end], DY[end], \"r*\", label=\"end\")\n",
    "legend()\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "9be6924d-6146-4e42-a29b-473cc33b74b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=[10,4])\n",
    "E_0 = E_mass_spring(y_0, Dy_0)\n",
    "E = E_mass_spring.(Y, DY)\n",
    "title(\"Energy variation\")\n",
    "plot(t, E .- E_0)\n",
    "xlabel(\"t\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e03bb601-ae0a-447a-8632-4d4ce2834c61",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Next solve with damping"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "cc61ecc7-93dd-43c1-b0e1-b0832bac8e13",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Underdamped\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 600x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "D = 0.5 # Underdamped: decaying oscillations\n",
    "#D = 2 # Critically damped\n",
    "#D = 2.1 # Overdamped: exponential decay\n",
    "\n",
    "periods = 4\n",
    "b = 2pi * periods\n",
    "\n",
    "stepsperperiod = 500\n",
    "n = Int(stepsperperiod * periods)\n",
    "\n",
    "(t, U) = eulermethod_system(f_mass_spring, a, b, u_0, n)\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=u_0, K=K, M=M, D=D)  # Exact solution\n",
    "\n",
    "damping(K, M, D)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"y for K/M=$(K/M), D=$D by Euler's method with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "xlabel(\"t\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)\n",
    "\n",
    "# Phase plane diagram; for D=0 the exact solutions are ellipses (circles if M = K)\n",
    "figure(figsize=[6,6])  # Make axes equal length; orbits should be circular or \"circular spirals\" \n",
    "title(\"The orbit\")\n",
    "plot(Y, DY)\n",
    "xlabel(\"y\")\n",
    "ylabel(\"dy/dt\")\n",
    "plot(Y[1], DY[1], \"g*\", label=\"start\")\n",
    "plot(Y[end], DY[end], \"r*\", label=\"end\")\n",
    "legend()\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "loose-ratio",
   "metadata": {},
   "source": [
    "## The \"Classical\" Runge-Kutta Method, Extended to Systems of Equations\n",
    "\n",
    "As above, the previous \"scalar\" function for this method needs just three lines of code modified."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "international-possibility",
   "metadata": {},
   "source": [
    "Before:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "aa00860e-ee93-4f16-afd1-3abe84ab2225",
   "metadata": {},
   "outputs": [],
   "source": [
    "function rungekutta(f, a, b, u_0, n)\n",
    "    # Use the (classical) Runge-Kutta Method to solve\n",
    "    #    du/dt = f(t, u) for t in [a, b], with initial value u(a) = u_0\n",
    "    \n",
    "    h = (b-a)/n\n",
    "    t = range(a, b, n+1)\n",
    "    u = zeros(length(t))\n",
    "    u[1] = u_0\n",
    "    for i in 1:n\n",
    "        K_1 = f(t[i], u[i])*h\n",
    "        K_2 = f(t[i]+h/2, u[i]+K_1/2)*h\n",
    "        K_3 = f(t[i]+h/2, u[i]+K_2/2)*h\n",
    "        K_4 = f(t[i]+h, u[i]+K_3)*h\n",
    "        u[i+1] = u[i] + (K_1 + 2*K_2 + 2*K_3 + K_4)/6\n",
    "    end\n",
    "    return (t, u)\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "regional-meaning",
   "metadata": {},
   "source": [
    "After:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "868f732a-8a97-479c-bf67-60c9b78e3b91",
   "metadata": {},
   "outputs": [],
   "source": [
    "function rungekutta_system(f, a, b, u_0, n)\n",
    "    # Use the (classical) Runge-Kutta Method to solve\n",
    "    #    du/dt = f(t, u) for t in [a, b], with initial value u(a) = u_0\n",
    "    # The conversion for the system version is mainly \"u[i] -> u[i,:]\"\n",
    "\n",
    "    h = (b-a)/n\n",
    "    t = range(a, b, n+1)\n",
    "    n_unknowns = length(u_0)\n",
    "    u = zeros(n+1, n_unknowns)\n",
    "    u[1,:] = u_0\n",
    "    for i in 1:n\n",
    "        K_1 = f(t[i], u[i,:])*h\n",
    "        K_2 = f(t[i]+h/2, u[i,:]+K_1/2)*h\n",
    "        K_3 = f(t[i]+h/2, u[i,:]+K_2/2)*h\n",
    "        K_4 = f(t[i]+h, u[i,:]+K_3)*h\n",
    "        u[i+1,:] = u[i,:] + (K_1 + 2*K_2 + 2*K_3 + K_4)/6\n",
    "    end\n",
    "    return (t, u)\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "aa61fc3f-9bb8-4609-91eb-2567db872aea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 600x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "M = 1.0\n",
    "k = 1.0\n",
    "D = 0.0\n",
    "u_0 = [1.0, 0.0]\n",
    "a = 0.0\n",
    "periods = 4\n",
    "b = 2pi * periods\n",
    "\n",
    "stepsperperiod = 25\n",
    "n = stepsperperiod * periods\n",
    "\n",
    "(t, U) = rungekutta_system(f_mass_spring, a, b, u_0, n)\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=u_0, K=K, M=M, D=D)  # Exact solution\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"y for k/M=$(k/M), D=$D by Runge-Kutta with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "xlabel(\"t\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)\n",
    "\n",
    "# Phase plane diagram; for D=0 the exact solutions are ellipses (circles if M = k)\n",
    "figure(figsize=[6,6])  # Make axes equal length; orbits should be circular or \"circular spirals\" \n",
    "title(\"The orbit\")\n",
    "plot(Y, DY)\n",
    "xlabel(\"y\")\n",
    "ylabel(\"dy/dt\")\n",
    "plot(Y[1], DY[1], \"g*\", label=\"start\")\n",
    "plot(Y[end], DY[end], \"r*\", label=\"end\")\n",
    "legend()\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b1dc553d-e051-4cae-87dc-695effc6ae6f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Underdamped\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "D = 0.5 # Underdamped: decaying oscillations\n",
    "#D = 2 # Critically damped\n",
    "#D = 2.1 # Overdamped: exponential decay\n",
    "\n",
    "periods = 4\n",
    "b = 2pi * periods\n",
    "\n",
    "stepsperperiod = 25\n",
    "n = Int(stepsperperiod * periods)\n",
    "\n",
    "(t, U) = rungekutta_system(f_mass_spring, a, b, u_0, n)\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=u_0, K=K, M=M, D=D)  # Exact solution\n",
    "\n",
    "damping(k, M, D)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"y for k/M=$(k/M), D=$D by Runge-Kutta with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "xlabel(\"t\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f5004327-3cf0-4dfd-b2b9-01ac62dbffe2",
   "metadata": {},
   "source": [
    "## Solving the Freely Rotating Pendulum Equation\n",
    "({prf:ref}`ode-freely-rotating-pendulum`)\n",
    "\n",
    "For now, this is just briefly explored as a cautionary tail of what can happen when slight changes in the system lead to qualitatively very different solution behavior.\n",
    "So we will look at a few examples for the conservative case $D=0$, close to the separatrix solutions noted above.\n",
    "\n",
    "Parameters can all be scaled away to $M = L = g = 1$ so the critical energy is $Mg = 1$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "2dc6f3ed-b8e6-4683-b4b2-d7e7863a80f0",
   "metadata": {},
   "outputs": [],
   "source": [
    "f_pendulum(t, u) = [ u[2], -(g/L)*sin(u[1]) ];"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "5ad41199-07a4-4aaa-bdc3-aabf5fec35ed",
   "metadata": {},
   "outputs": [],
   "source": [
    "M = g = L = 1.0;\n",
    "E_0 = 1.0  # Separatrix\n",
    "#E_0 = 0.999\n",
    "#E_0 = 1.001\n",
    "\n",
    "theta_0 = 0.0\n",
    "omega_0 = sqrt(2(E_0 + M*g*cos(theta_0))/(M*L));\n",
    "u_0 = [theta_0, omega_0]\n",
    "\n",
    "a = 0.0\n",
    "\n",
    "#periods = 8  # periods of the linear approximation, \"sin(theta) = theta\"\n",
    "#b = 2pi * sqrt(L/g) * periods\n",
    "\n",
    "b = 80.0\n",
    "b = 20.;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "6c5c9619-6b33-4bef-8323-ebe74a7d3461",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#stepsperperiod = 1_000\n",
    "#n = Int(stepsperperiod * periods)\n",
    "#h = (b-a)/n\n",
    "\n",
    "stepsperunittime = 10_000\n",
    "h = 1/stepsperunittime\n",
    "n = Int(round((b-a)/h))\n",
    "\n",
    "(t, U) = eulermethod_system(f_pendulum, a, b, u_0, n)\n",
    "theta = U[:,1]\n",
    "omega = U[:,2]\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"By Euler's method with E = $E_0, step size h = $(approx4(h))\")\n",
    "plot(t, theta/pi, label=\"theta\")\n",
    "xlabel(\"t\")\n",
    "ylabel(L\"\\theta/\\pi\")\n",
    "grid(true)\n",
    "\n",
    "# Phase plane diagram\n",
    "figure(figsize=[10,4])\n",
    "title(\"The orbit\")\n",
    "plot(theta/pi, omega)\n",
    "xlabel(L\"\\theta/\\pi\")\n",
    "ylabel(L\"\\omega = d\\theta/dt\")\n",
    "plot(theta[1]/pi, omega[1], \"g*\", label=\"start\")\n",
    "plot(theta[end]/pi, omega[end], \"r*\", label=\"end\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "# Error in the (conserved) energy E\n",
    "figure(figsize=[10,4])\n",
    "E = (M*L/2) * omega.^2 - M*g*cos.(theta)\n",
    "E_error = E .- E_0\n",
    "title(\"Error in E(t)\")\n",
    "plot(t, E_error, label=\"theta\")\n",
    "xlabel(\"t\")\n",
    "#ylabel(L\"\\theta/\\pi\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "57d48e60-7f94-41a7-9d24-c3a6ed3d09c6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "#stepsperperiod = 10_000\n",
    "#n = Int(stepsperperiod * periods)\n",
    "#h = (b-a)/n\n",
    "\n",
    "stepsperunittime = 25\n",
    "stepsperunittime = 10_000\n",
    "h = 1/stepsperunittime\n",
    "n = Int(round((b-a)/h))\n",
    "\n",
    "(t, U) = rungekutta_system(f_pendulum, a, b, u_0, n)\n",
    "theta = U[:,1]\n",
    "omega = U[:,2]\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"By the Runge-Kutta method with E = $E_0, step size h = $(approx4(h))\")\n",
    "plot(t, theta/pi, label=\"theta\")\n",
    "xlabel(\"t\")\n",
    "ylabel(L\"\\theta/\\pi\")\n",
    "grid(true)\n",
    "\n",
    "# Phase plane diagram\n",
    "figure(figsize=[10,4])\n",
    "title(\"The orbit\")\n",
    "plot(theta/pi, omega)\n",
    "xlabel(L\"\\theta/\\pi\")\n",
    "ylabel(L\"\\omega = d\\theta/dt\")\n",
    "plot(theta[1]/pi, omega[1], \"g*\", label=\"start\")\n",
    "plot(theta[end]/pi, omega[end], \"r*\", label=\"end\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "# Error in the (conserved) energy E\n",
    "E = (M*L/2) * omega.^2 - M*g*cos.(theta)\n",
    "E_error = E .- E_0\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in E(t)\")\n",
    "plot(t, E_error, label=\"theta\")\n",
    "xlabel(\"t\")\n",
    "#ylabel(L\"\\theta/\\pi\")\n",
    "grid(true);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fuzzy-plenty",
   "metadata": {},
   "source": [
    "## Appendix: the Explicit Trapezoid and Midpoint Methods for systems\n",
    "\n",
    "Yet again, the previous functions for these methods need just three lines of code modified.\n",
    "\n",
    "The demos are just for the non-dissipative case, where the solution is known to be $y = \\cos t$, $dt/dt = -\\sin t$.\n",
    "\n",
    "For a fairer comparison of \"accuracy vs computational effort\" to the Runge-Kutta method,\n",
    "twice as many time steps are used so that the same number of function evaluations are used for these three methods."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "dimensional-assurance",
   "metadata": {},
   "outputs": [],
   "source": [
    "function explicittrapezoid_system(f, a, b, u_0, n)\n",
    "    # Use the Explict Trapezoid Method (a.k.a Improved Euler) to solve the system\n",
    "    #    du/dt = f(t, u) for t in [a, b], with initial value u(a) = u_0 \n",
    "    # The conversion for the system version is mainly \"u[i] -> u[i,:]\"\n",
    "\n",
    "    h = (b-a)/n\n",
    "    t = range(a, b, n+1)\n",
    "    n_unknowns = length(u_0)\n",
    "    u = zeros(n+1, n_unknowns)\n",
    "    u[1,:] = u_0\n",
    "    for i in 1:n\n",
    "        K_1 = f(t[i], u[i,:])*h\n",
    "        K_2 = f(t[i]+h, u[i,:]+K_1)*h\n",
    "        u[i+1,:] = u[i,:] + (K_1 + K_2)/2.0\n",
    "    end\n",
    "    return (t, u)\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "c87037fc-1b75-4deb-adb3-346a6e2cb30a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Underdamped\n",
      "Underdamped\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "D = 0.5 # Underdamped: decaying oscillations\n",
    "#D = 2 # Critically damped\n",
    "#D = 2.1 # Overdamped: exponential decay\n",
    "\n",
    "periods = 4\n",
    "b = 2pi * periods\n",
    "\n",
    "stepsperperiod = 50\n",
    "n = Int(stepsperperiod * periods)\n",
    "\n",
    "damping(k, M, D)\n",
    "\n",
    "(t, U) = explicittrapezoid_system(f_mass_spring, a, b, u_0, n)\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=u_0, K=K, M=M, D=D)  # Exact solution\n",
    "\n",
    "damping(k, M, D)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"y for k/M=$(k/M), D=$D by explicit trapezoid with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "xlabel(\"t\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33c1109e-6236-4793-9173-05960bdd06ae",
   "metadata": {},
   "source": [
    "At first glance this is doing well, keeping the orbits circular.\n",
    "However, note the discrepancy between the start and end points:\n",
    "these should be the same, as they are (visually) with the Runge-Kutta method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "final-analyst",
   "metadata": {},
   "outputs": [],
   "source": [
    "function explicitmidpoint_system(f, a, b, u_0, n)\n",
    "    # Use the Explict Midpoint Method (a.k.a Modified Euler) to solve the system\n",
    "    #    du/dt = f(t, u) for t in [a, b], with initial value u(a) = u_0 \n",
    "    # The conversion for the system version is mainly \"u[i] -> u[i,:]\"\n",
    "\n",
    "    h = (b-a)/n\n",
    "    t = range(a, b, n+1)\n",
    "    n_unknowns = length(u_0)\n",
    "    u = zeros(n+1, n_unknowns)\n",
    "    u[1,:] = u_0\n",
    "    for i in 1:n\n",
    "        K_1 = f(t[i], u[i,:])*h\n",
    "        K_2 = f(t[i]+h/2, u[i,:]+K_1/2)*h\n",
    "        u[i+1,:] = u[i,:] + K_2\n",
    "    end\n",
    "    return (t, u)\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "dc5f74d7-056c-4931-bd7e-01b056f517aa",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Underdamped\n",
      "Underdamped\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "D = 0.5 # Underdamped: decaying oscillations\n",
    "#D = 2 # Critically damped\n",
    "#D = 2.1 # Overdamped: exponential decay\n",
    "\n",
    "periods = 4\n",
    "b = 2pi * periods\n",
    "\n",
    "stepsperperiod = 50\n",
    "n = Int(stepsperperiod * periods)\n",
    "\n",
    "damping(k, M, D)\n",
    "\n",
    "(t, U) = explicitmidpoint_system(f_mass_spring, a, b, u_0, n)\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=u_0, K=K, M=M, D=D)  # Exact solution\n",
    "\n",
    "damping(k, M, D)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"y for k/M=$(k/M), D=$D by explicit midpoint with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "xlabel(\"t\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.8.1",
   "language": "julia",
   "name": "julia-1.8"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.8.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
