{ "cells": [ { "cell_type": "markdown", "id": "50f3fe64", "metadata": {}, "source": [ "# Finite Differences" ] }, { "cell_type": "markdown", "id": "9a16790a", "metadata": {}, "source": [ "**강좌**: *기초 전산유체역학*" ] }, { "cell_type": "markdown", "id": "30b60746", "metadata": {}, "source": [ "## Taylor Expansion\n", "\n", "Taylor series를 이용하면 함수를 쉽게 근사화 할 수 있다.\n", "\n", "$$\n", "f(x_j+\\Delta x) = f(x_j) + \\Delta x f'(x_j) + \\frac{(\\Delta x)^2}{2} f''(x_j) + \\frac{(\\Delta x)^3}{3!} f'''(x_j) + T.E.\n", "$$\n", "\n", "여기서 $T.E$ 는 Truncation error 이다. 만약 1차 미분까지만으로 근사화 한 경우 이 오차는 $(\\Delta x)^2, (\\Delta x)^3, ...$ 과 같이 간격 $\\Delta x$ 의 고차 항으로 구성되어 있다.\n", "\n", "$$\n", "T.E. = Error((\\Delta x)^2, (\\Delta x)^3, ...) = O((\\Delta x)^2)\n", "$$\n", "\n", "$\\Delta x$ 가 작은 경우 오차는 Leading error 항과 그보다 매우 작은 항의 합이다. " ] }, { "cell_type": "markdown", "id": "786a8a09", "metadata": {}, "source": [ "## 수치 미분\n", "\n", "### Forward, Backward, Central differences\n", "\n", ":::{figure-md} fd\n", "\"fd-fig\"\n", "\n", "Finite Difference (from Wikipedia)\n", "::: \n", "\n", "- Forward Difference\n", "\n", " $$\n", " f'(x_j) = \\frac{f(x_{j+1}) - f(x_j)}{\\Delta x} + O(\\Delta x)\n", " $$\n", "\n", "- Backward Differnce\n", "\n", " $$\n", " f'(x_j) = \\frac{f(x_{j}) - f(x_{j-1})}{\\Delta x} + O(\\Delta x)\n", " $$\n", "\n", "- Central Difference\n", " - 다음 두 식을 빼보자.\n", " \n", " $$\n", " f(x_{j+1}) = f(x_j) + \\Delta x f'(x_j) + \\frac{(\\Delta x)^2}{2} f''(x_j) + \\frac{(\\Delta x)^3}{3!} f'''(x_j) + O((\\Delta x)^4)\n", " $$\n", " $$\n", " f(x_{j-1}) = f(x_j) - \\Delta x f'(x_j) + \\frac{(\\Delta x)^2}{2} f''(x_j) - \\frac{(\\Delta x)^3}{3!} f'''(x_j) + O((\\Delta x)^4)\n", " $$\n", "\n", " - 그 결과는 다음과 같다.\n", " \n", " $$\n", " f'(x_j) = \\frac{f(x_{j+1}) - f(x_{j-1})}{ 2\\Delta x} + O((\\Delta x)^2)\n", " $$\n", "\n", " - 위의 두 식을 더한 후 $2 f(x_j)$ 를 빼보자.\n", " \n", " $$\n", " f''(x_j) = \\frac{f(x_{j+1}) - 2 f(x_j) + f(x_{j-1})}{ (\\Delta x)^2} + O((\\Delta x)^2)\n", " $$ \n", "\n", "### One-sided difference\n", "- $j, j-1 j-2$ 점을 기준할 때 차분식이 다음과 같다고 생각하자.\n", " \n", " $$\n", " f'(x_j) = \\frac{a f(x_j) + b f (x_{j-1}) + c f(x_{j-2})}{\\Delta x} + TE\n", " $$\n", "\n", " - 다음 수식을 대입하면\n", "\n", " $$\n", " f(x_{j-1}) = f(x_j) - \\Delta x f'(x_j) + \\frac{(\\Delta x)^2}{2} f''(x_j) - \\frac{(\\Delta x)^3}{3!} f'''(x_j) + O((\\Delta x)^4)\n", " $$\n", " $$\n", " f(x_{j-2}) = f(x_j) - 2 \\Delta x f'(x_j) + \\frac{(2 \\Delta x)^2}{2} f''(x_j) - \\frac{(2 \\Delta x)^3}{3!} f'''(x_j) + O((\\Delta x)^4)\n", " $$\n", "\n", " - 분자는 다음과 같다.\n", " \n", " $$\n", " (a + b + c) f(x_j) - \\Delta x (b + 2c) f''(x_j) + \\frac{(\\Delta x)^2}{2} (b + 4c) f''(x_j) + O(\\Delta x^3)\n", " $$\n", "\n", " - 즉 다음을 만족해야 한다.\n", " \n", " $$\n", " \\begin{align}\n", " a + b + c &= 0 \\\\\n", " b + 2c &= -1 \\\\\n", " b + 4c &= 0\n", " \\end{align}\n", " $$\n", " \n", " - $a=3/2, b=-2, c=1/2$.\n", " \n", " $$\n", " f'(x_j) = \\frac{3 f(x_j) -4 f (x_{j-1}) + f(x_{j-2})}{2 \\Delta x} + O(\\Delta x^2)\n", " $$\n", " \n", "- (DIY) 같은 Stencil (계산점)에서 $f''(x_j)$ 차분식을 구하고 그 정확도를 비교하시오.\n", "\n", "### 일반적인 방법\n", " - 여러 Taylor expansion의 합차를 이용해서 원하는 미분항의 근사식을 구한다.\n", " \n", "\n", "### 예제\n", "$f(x)=\\sin(x)$ 에 대해서 수치 미분 결과를 비교하자." ] }, { "cell_type": "code", "execution_count": 1, "id": "e16045a4", "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "from matplotlib import pyplot as plt\n", "\n", "import numpy as np\n", "\n", "plt.style.use('ggplot')\n", "plt.rcParams['figure.dpi'] = 150" ] }, { "cell_type": "code", "execution_count": 2, "id": "12c35bd3", "metadata": {}, "outputs": [], "source": [ "def forward_diff(f, x, dx):\n", " \"\"\"\n", " Forward Difference\n", " ------------------\n", " \n", " Parameters\n", " ----------\n", " f : function\n", " Function being differentiated\n", " x : float\n", " Point where derivative is approximated\n", " dx : float\n", " Step size\n", " \n", " Return\n", " ------\n", " df : float\n", " Value by forward difference\n", " \"\"\"\n", " return (f(x+dx) - f(x)) / dx\n", "\n", "def backward_diff(f, x, dx):\n", " \"\"\"\n", " Backward Difference\n", " ------------------\n", " \n", " Parameters\n", " ----------\n", " f : function\n", " Function being differentiated\n", " x : float\n", " Point where derivative is approximated\n", " dx : float\n", " Step size\n", " \n", " Return\n", " ------\n", " df : float\n", " Value by backward difference\n", " \"\"\"\n", " return (f(x) - f(x-dx)) / dx\n", "\n", "def central_diff(f, x, dx):\n", " \"\"\"\n", " Central Difference\n", " ------------------\n", " \n", " Parameters\n", " ----------\n", " f : function\n", " Function being differentiated\n", " x : float\n", " Point where derivative is approximated\n", " dx : float\n", " Step size\n", " \n", " Return\n", " ------\n", " df : float\n", " Value by central difference\n", " \"\"\"\n", " return (f(x+dx) - f(x-dx)) / (2*dx)" ] }, { "cell_type": "code", "execution_count": 3, "id": "3dbd091f", "metadata": {}, "outputs": [], "source": [ "def compute(dx):\n", " # Sine function at [0, 2 \\pi]\n", " x = np.linspace(0, 2*np.pi, 101)\n", " f = np.sin\n", "\n", " # Compute first derivatives\n", " exact = np.cos(x)\n", " fd = np.array([forward_diff(f, xi, dx) for xi in x])\n", " bd = np.array([backward_diff(f, xi, dx) for xi in x])\n", " cd = np.array([central_diff(f, xi, dx) for xi in x])\n", " \n", " # points, exact value, forward / backward / central dfference\n", " return x, exact, fd, bd, cd\n", "\n", "def plot(dx):\n", " # Results of foward, backward, central differences \n", " x, exact, fd, bd, cd = compute(dx)\n", "\n", " # Plot exact, forward, backward, central difference\n", " plt.plot(x , exact)\n", " plt.plot(x, fd)\n", " plt.plot(x, bd)\n", " plt.plot(x, cd)\n", " \n", " # Legend, labels, title\n", " plt.legend(['Exact', 'Forward Difference', 'Backward Difference', 'Central Difference'])\n", " plt.xlabel(r'x')\n", " plt.ylabel(r\"$f'(x)$\")\n", " plt.title(\"Comparison of finite difference @ $\\Delta x$={} $\\pi$\".format(dx/np.pi))" ] }, { "cell_type": "code", "execution_count": 4, "id": "b4b3a61d", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(0.2*np.pi)" ] }, { "cell_type": "code", "execution_count": 5, "id": "fec95cd2", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(0.1*np.pi)" ] }, { "cell_type": "markdown", "id": "698f6838", "metadata": {}, "source": [ "## 정확도 비교\n", "- Forward / Backward difference 는 1차 정확도 ($O(\\Delta x)$)\n", "- Central difference 는 2차 정확도($O((\\Delta x)^2)$)" ] }, { "cell_type": "code", "execution_count": 6, "id": "c0fd1fa5", "metadata": {}, "outputs": [], "source": [ "def error(dx):\n", " # Results of foward, backward, central differences \n", " _, exact, fd, bd, cd = compute(dx)\n", " \n", " # Compute error norm\n", " err_fd = np.linalg.norm(fd - exact) \n", " err_bd = np.linalg.norm(bd - exact) \n", " err_cd = np.linalg.norm(cd - exact) \n", " \n", " return err_fd, err_bd, err_cd" ] }, { "cell_type": "code", "execution_count": 7, "id": "a642cd6b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Error')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Change delta x\n", "dxs = [10**(-n) for n in range(1, 6)]\n", "\n", "err_fd, err_bd, err_cd = [], [], []\n", "\n", "for dx in dxs:\n", " fd, bd, cd = error(dx)\n", " \n", " err_fd.append(fd)\n", " err_bd.append(bd)\n", " err_cd.append(cd) \n", " \n", "# Plot error (log-log scale)\n", "plt.loglog(dxs, err_fd, marker='o')\n", "plt.loglog(dxs, err_bd, marker='x')\n", "plt.loglog(dxs, err_cd, marker='d')\n", "\n", "plt.legend(['Forward Difference', 'Backward Difference', 'Central Difference'])\n", "plt.xlabel(r'$\\Delta x$')\n", "plt.ylabel('Error')" ] }, { "cell_type": "markdown", "id": "312bc805", "metadata": {}, "source": [ "## 과제\n", "- 다음 1차 미분 근사식에 대해 오차의 정확도를 분석하고, 수치적으로 검증하시오.\n", "\n", "$$\n", "f'(x) = \\frac{3 f_i - 4 f_{i-1} + f_{i-2}}{2 \\Delta x}\n", "$$\n", "\n", "- 다음 2차 미분 근사식에 대해 오차의 정확도를 분석하고, 수치적으로 검증하시오.\n", "\n", "$$\n", "f''(x) = \\frac{- f_{i+3} + 4 f_{i+2} - 5 f_{i+1} + 2 f_{i}}{\\Delta x^2}\n", "$$" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.2" } }, "nbformat": 4, "nbformat_minor": 5 }