{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"\n",
" \n",
"\n",
"*This notebook contains an excerpt from the [Python Programming and Numerical Methods - A Guide for Engineers and Scientists](https://www.elsevier.com/books/python-programming-and-numerical-methods/kong/978-0-12-819549-9), the content is also available at [Berkeley Python Numerical Methods](https://pythonnumericalmethods.berkeley.edu/notebooks/Index.html).*\n",
"\n",
"*The copyright of the book belongs to Elsevier. We also have this interactive book online for a better learning experience. The code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work on [Elsevier](https://www.elsevier.com/books/python-programming-and-numerical-methods/kong/978-0-12-819549-9) or [Amazon](https://www.amazon.com/Python-Programming-Numerical-Methods-Scientists/dp/0128195495/ref=sr_1_1?dchild=1&keywords=Python+Programming+and+Numerical+Methods+-+A+Guide+for+Engineers+and+Scientists&qid=1604761352&sr=8-1)!*"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"\n",
"< [22.7 Advanced-Topics](chapter22.07-Advanced-Topics.ipynb) | [Contents](Index.ipynb) | [CHAPTER 23. Ordinary Differential Equations: Boundary-Value Problems](chapter23.00-ODE-Boundary-Value-Problems.ipynb) >"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"# Summary\n",
"\n",
"\n",
"1. Ordinary differential equations (ODEs) are equations that relate a function to its derivatives, and initial value problems are a specific kind of ODE solving problem.\n",
"2. Most initial value problems cannot be integrated explicitly and therefore require numerical solutions.\n",
"3. There are explicit, implicit, and predictor-corrector methods for numerically solving initial value problems.\n",
"4. The accuracy of the scheme used depends on its order of approximation of the ODE.\n",
"5. The stability of the scheme used depends on the ODE, the scheme, and the choice of the integration parameters."
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"# Problems\n",
"\n",
"1. The logistics equation is a simple differential equation model that can be used to relate the change in population $\\frac{dP}{dt}$ to the current population, $P$, given a growth rate, $r$, and a carrying capacity, $K$. The logistics equation can be expressed by:\n",
"\n",
" $$\n",
"\\frac{dP}{dt}=rP\\left(1-\\frac{P}{K}\\right)\n",
"$$\n",
"\n",
" Write a function $my\\_logistics\\_eq(t, P, r, K)$ that represents the logistics equation with a return of $dP$. Note that this format allows $my\\_logistics\\_eq$ to be used as an input argument to *solve_ivp*. You may assume that the arguments $dP$, $t$, $P$, $r$, and $K$ are all scalars, and $dP$ is the value $\\frac{dP}{dt}$ given $r$, $P$, and $K$. Note that the input argument, $t$, is obligatory if $my\\_logistics\\_eq$ is to be used as an input argument to *solve_ivp*, even though it is part of the differential equation.\n",
"\n",
" Note: The logistics equation has an analytic solution defined by:\n",
" \n",
" $$\n",
"P(t)=\\frac{KP_0e^{rt}}{K + P_0(e^{rt}-1)}\n",
"$$\n",
"\n",
" where $P_0$ is the initial population. As an exercise, you should verify that this equation is a solution to the logistics equation.\n",
"\n",
"\n",
" Test cases:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"button": false,
"collapsed": true,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"from scipy.integrate import solve_ivp\n",
"import matplotlib.pyplot as plt\n",
"from functools import partial\n",
"plt.style.use('seaborn-poster')\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"3.666666666666667"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def my_logisitcs_eq(t, P, r, K):\n",
" # put your code here\n",
" \n",
" return dP\n",
"\n",
"dP = my_logisitcs_eq(0, 10, 1.1, 15)\n",
"dP"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from functools import partial\n",
"\n",
"t0 = 0\n",
"tf = 20\n",
"P0 = 10\n",
"r = 1.1\n",
"K = 20\n",
"t = np.linspace(0, 20, 2001)\n",
"\n",
"f = partial(my_logisitcs_eq, r=r, K=K)\n",
"sol=solve_ivp(f,[t0,tf],[P0],t_eval=t)\n",
"\n",
"plt.figure(figsize = (10, 8))\n",
"plt.plot(sol.t, sol.y[0])\n",
"plt.plot(t, \\\n",
" K*P0*np.exp(r*t)/(K+P0*(np.exp(r*t)-1)),'r:')\n",
"plt.xlabel('time')\n",
"plt.ylabel('population')\n",
"\n",
"plt.legend(['Numerical Solution', \\\n",
" 'Exact Solution'])\n",
"plt.grid(True)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"2. The Lorenz attractor is a system of ordinary differential equations that was originally developed to model convection currents in the atmosphere. The Lorenz equations can be written as:\n",
" $$\n",
"\\begin{eqnarray*}\n",
"&& \\frac{dx}{dt}=\\sigma (y-x)\\\\\n",
"&& \\frac{dy}{dt} = x(\\rho -z)-y\\\\\n",
"&& \\frac{dz}{dt} = xy-\\beta z\n",
"\\end{eqnarray*}\n",
"$$\n",
"\n",
" where $x$, $y$, and $z$ represent position in three dimensions and $\\sigma, \\rho$, and $\\beta$ are scalar parameters of the system. You can read more about the Lorenz attractor on Wikipedia: [Lorenz System](https://en.wikipedia.org/wiki/Lorenz_system).\n",
"\n",
" Write a function $my\\_lorenz(t,S,sigma,rho,beta)$, where $t$ is a scalar denoting time, $S$ is a $(3, )$ array denoting the position $(x,y,z)$, and $sigma$, $rho$, and $beta$ are strictly positive scalars representing $\\sigma, \\rho$, and $\\beta$. The output argument $dS$ should be the same size as $S$.\n",
" \n",
" Test Cases:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"array([10., 23., -6.])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def my_lorenz(t, S, sigma, rho, beta):\n",
" # put your code here\n",
"\n",
" return dS\n",
"\n",
"s = np.array([1, 2, 3])\n",
"dS = my_lorenz(0, s, 10, 28, 8/3)\n",
"dS"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"3. Write a function $my\\_lorenz\\_solver(t\\_span, s0, sigma, rho, beta)$ that solves the Lorenz equations using $solve\\_ivp$, the function returns [T, X, Y, Z]. The input argument $t\\_span$ should be a list of the form $[t0, tf]$, where $t0$ is the initial time, and $tf$ is the final time of consideration. The input argument $s0$ should be a $(3,)$ array of the form $[x0; y0; z0]$, where $(x_0, y_0, z_0)$ represents an initial position. Finally, the input arguments $sigma$, $rho$, and $beta$ are the scalar parameters $\\sigma, \\rho$, and $\\beta$ of the Lorenz system. The output arguments $T$ should be an array of times given as the output argument of $solve\\_ivp$. The output arguments, $X$, $Y$, and $Z$ should be the numerically integrated solution produced from $my\\_lorenz$ in the previous problem and $solve\\_ivp$. \n",
"\n",
" Test Cases:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def my_lorenz_solver(t_span, s0, sigma, rho, beta):\n",
" # put your code here\n",
" \n",
" return [T, X, Y, Z]\n",
"\n",
"sigma = 10\n",
"rho = 28\n",
"beta = 8/3\n",
"t0 = 0\n",
"tf = 50\n",
"s0 = np.array([0, 1, 1.05])\n",
"\n",
"[T, X, Y, Z] = my_lorenz_solver([t0, tf], \\\n",
" s0, sigma, rho, beta)\n",
"\n",
"from mpl_toolkits import mplot3d\n",
"\n",
"fig = plt.figure(figsize = (10,10))\n",
"ax = plt.axes(projection='3d')\n",
"ax.grid()\n",
"\n",
"ax.plot3D(X, Y, Z)\n",
"\n",
"# Set axes label\n",
"ax.set_xlabel('x', labelpad=20)\n",
"ax.set_ylabel('y', labelpad=20)\n",
"ax.set_zlabel('z', labelpad=20)\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"4. Consider the following model of a mass-spring-damper (MSD) system in one dimension. In this figure $m$ denotes the mass of the block, $c$ is called the damping coefficient, and $k$ is the spring stiffness. A damper is a mechanism that dissipates energy in the system by resisting velocity. The MSD system is a simplistic model of several engineering applications such as shock observers and structural systems.\n",
"\n",
" \n",
"\n",
" The relationship between acceleration, velocity, and displacement can be expressed by the following mass-spring-damper (MSD) differential equation:\n",
"\n",
" $$\n",
"m\\ddot{x} + c\\dot{x} +kx = 0\n",
"$$\n",
" which can be rewritten:\n",
" $$\n",
"\\ddot{x}=\\frac{-(c\\dot{x}+kx)}{m}\n",
"$$\n",
"\n",
" Let the state of the system be denoted by the vector $S = [x; v]$ where $x$ is the displacement of the mass from its resting configuration and $v$ is its velocity. Rewrite the MSD equation as a first-order differential equation in terms of the state, $S$. In other words, rewrite the MSD equation as $dS/dt = f(t, S)$.\n",
"\n",
" Write a function $my\\_msd(t, S, m, c, k)$, where $t$ is a scalar denoting time, $S$ is a $(2,)$ vector denoting the state of the MSD system, and $m$, $c$, and $k$ are the mass, damping, and stiffness coefficients of the MSD equation, respectively.\n",
" \n",
" Test Cases:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"array([-1. , -9.9])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def my_msd(t, S, m, c, k):\n",
" # put your code here\n",
" return ds\n",
"\n",
"my_msd(0, [1, -1], 10, 1, 100)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"m = 1\n",
"k = 10\n",
"f = partial(my_msd, m=m, c=0, k=k)\n",
"t_e = np.arange(0, 20, 0.1)\n",
"sol_1=solve_ivp(f,[0,20],[1,0],t_eval=t_e)\n",
"\n",
"f = partial(my_msd, m=m, c=1, k=k)\n",
"sol_2=solve_ivp(f,[0,20],[1,0],t_eval=t_e)\n",
"\n",
"f = partial(my_msd, m=m, c=10, k=k)\n",
"sol_3=solve_ivp(f,[0,20],[1,0],t_eval=t_e)\n",
"\n",
"plt.figure(figsize = (10, 8))\n",
"plt.plot(sol_1.t, sol_1.y[0])\n",
"plt.plot(sol_2.t, sol_2.y[0])\n",
"plt.plot(sol_3.t, sol_3.y[0])\n",
"plt.title('Numerical Solution of MSD \\\n",
"System with Varying Dampling')\n",
"plt.xlabel('time')\n",
"plt.ylabel('displacement')\n",
"plt.legend(['no dampling', 'c=1', \\\n",
" '>critically damped'], loc=1)"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"5. Write a function $my\\_forward\\_euler(ds, t\\_span, s0)$, where *ds* is a function object, $f(t, s)$, describing a first-order differential equation, $t\\_span$ is an array of times for which numerical solutions of the differential equation are desired, and *s0* is the initial condition of the system. Assume that the size of the state is one. The output argument should be a list of [t, s], such that $t[i] = t\\_span[i]$ for all $i$, and $s$ should be the integrated values of *ds* at times *t*. You should perform the integration using the Forward Euler method, $s[t_i] = s[t_{i-1}] + (t_i - t_{i-1}) ds(t_{i-1}, s[t_{i-1}])$. Note: $s[0]$ should equal $s0$.\n",
"\n",
" Test Cases:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0. 0.11111111 0.22222222 0.33333333 0.44444444 0.55555556\n",
" 0.66666667 0.77777778 0.88888889 1. ]\n",
"[1. 1. 1.00454172 1.013584 1.02702534 1.04470783\n",
" 1.06642355 1.09192262 1.12092255 1.153118 ]\n"
]
}
],
"source": [
"def my_forward_euler(ds, t_span, s0):\n",
" # put your code here\n",
" \n",
" return [t, s]\n",
"\n",
"t_span = np.linspace(0, 1, 10)\n",
"s0 = 1\n",
"\n",
"# Define parameters\n",
"f = lambda t, s: t*np.exp(-s)\n",
"\n",
"t_eul, s_eul = my_forward_euler(f, t_span, s0)\n",
"\n",
"print(t_eul)\n",
"print(s_eul)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (10, 8))\n",
"\n",
"# Exact solution\n",
"t = np.linspace(0, 1, 1000)\n",
"s = np.log(np.exp(s0) + (t**2-t[0])/2)\n",
"plt.plot(t, s, 'r', label='Exact')\n",
"\n",
"# Forward Euler\n",
"plt.plot(t_eul, s_eul, 'g', label='Euler')\n",
"\n",
"# Python solver\n",
"sol = solve_ivp(f, [0, 1], [s0], t_eval=t)\n",
"plt.plot(sol.t, sol.y[0], 'b--', \\\n",
" label='Python Solver')\n",
"\n",
"plt.xlabel('t')\n",
"plt.ylabel('f(t)')\n",
"plt.grid()\n",
"plt.legend(loc=2)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"6. Write a function $myRK4(ds, t_span, s0)$, where the input and output arguments are the same as in problem 5. The function $myRK4$ should numerically integrate *ds* using the fourth-order Runge-Kutta method.\n",
"\n",
" Test Cases:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def myRK4(ds, t_span, s0):\n",
" # put your code here\n",
" \n",
" return [t, s]\n",
"\n",
"f = lambda t, s: np.sin(np.exp(s))/(t+1)\n",
"t_span = np.linspace(0, 2*np.pi, 10)\n",
"s0 = 0\n",
"\n",
"plt.figure(figsize = (10, 8))\n",
"\n",
"# Runge-Kutta method\n",
"t, s = myRK4(f, t_span, s0)\n",
"plt.plot(t, s, 'r', label='RK4')\n",
"\n",
"# Python solver\n",
"sol = solve_ivp(f, [0, 2*np.pi], [s0], t_eval=t)\n",
"plt.plot(sol.t, sol.y[0], \\\n",
" 'b--', label='Python Solver')\n",
"\n",
"plt.xlabel('t')\n",
"plt.ylabel('f(t)')\n",
"plt.grid()\n",
"plt.legend(loc=2)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"\n",
"< [22.7 Advanced-Topics](chapter22.07-Advanced-Topics.ipynb) | [Contents](Index.ipynb) | [CHAPTER 23. Ordinary Differential Equations: Boundary-Value Problems](chapter23.00-ODE-Boundary-Value-Problems.ipynb) >"
]
}
],
"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": "3.5.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}