Reformat ipynb + new rules for gitignore
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@@ -8,6 +8,34 @@
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"# Solution of second-order linear ordinary differential equation"
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]
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},
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{
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"cell_type": "markdown",
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"id": "a4b21c72",
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"metadata": {},
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"source": [
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"## Input vars"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "6653253d",
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"metadata": {},
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"outputs": [],
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"source": [
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"N = 20\n",
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"linear_file = f\"matrix_linear_{N}.txt\"\n",
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"cubic_file = f\"matrix_cubic_{N}.txt\""
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]
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},
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{
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"cell_type": "markdown",
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"id": "781047cc",
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"metadata": {},
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"source": [
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"## System cells"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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@@ -37,7 +65,7 @@
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"id": "8af07a56",
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"metadata": {},
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"source": [
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"## Solution of $5u'' + 4u' + 1 = 0, u'(0) = u(0), u(10) = 5$"
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"### Solution of $5u'' + 4u' + 1 = 0, u'(0) = u(0), u(10) = 5$"
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]
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},
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{
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@@ -56,7 +84,7 @@
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"id": "efac514a",
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"metadata": {},
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"source": [
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"## Linear element"
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"### Linear element"
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]
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},
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{
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@@ -78,8 +106,8 @@
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" plt.plot(x, y_real, label=\"Numeral solution\", color='black')\n",
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" plt.title(f\"Linear element, elements = {elements}\")\n",
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" plt.grid(True)\n",
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" plt.xlabel(\"X\")\n",
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" plt.ylabel(\"Y\")\n",
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" plt.xlabel(\"x\")\n",
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" plt.ylabel(\"u(x)\")\n",
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" plt.legend()\n",
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" plt.savefig(f\"linear_{elements}.png\", dpi=300)\n",
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" plt.show()\n",
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@@ -92,7 +120,7 @@
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"id": "d9a38740",
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"metadata": {},
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"source": [
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"## Cubic element"
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"### Cubic element"
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]
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},
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{
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@@ -110,11 +138,11 @@
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" y = np.fromstring(data_str, sep=' ')\n",
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" y_real = u(x)\n",
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"\n",
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" plt.plot(x, y, label=\"Cubic element solution\", color=\"green\")\n",
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" plt.plot(x, y, label=\"Cubic element solution\", color=\"orange\")\n",
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" plt.plot(x, y_real, label=\"Numeral solution\", color='black')\n",
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" plt.title(f\"Cubic element, elements = {elements} \")\n",
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" plt.xlabel(\"X\")\n",
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" plt.ylabel(\"Y\")\n",
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" plt.xlabel(\"x\")\n",
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" plt.ylabel(\"u(x)\")\n",
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" plt.grid(True)\n",
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" plt.legend()\n",
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" plt.savefig(f\"cubic_{elements}.png\", dpi=300)\n",
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@@ -138,9 +166,8 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"N = 20\n",
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"show_plot_linear(\"matrix_linear.txt\", N)\n",
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"show_plot_cubic(\"matrix_cubic.txt\", N)"
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"show_plot_linear(linear_file, N)\n",
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"show_plot_cubic(cubic_file, N)"
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]
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},
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{
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@@ -154,7 +181,7 @@
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "e0e9266d",
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"id": "31de1104",
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"metadata": {},
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"outputs": [],
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"source": [
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@@ -162,8 +189,16 @@
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" with open(filename, 'r') as file:\n",
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" content = file.read().strip()\n",
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" data = np.array([float(x) for x in content.split()])\n",
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" return data\n",
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"\n",
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" return data"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"id": "e0e9266d",
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"metadata": {},
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"outputs": [],
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"source": [
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"def show_error(program_file: str, analytical_file: str):\n",
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" # Считывание данных из файлов\n",
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" real = read_data_from_file(analytical_file)\n",
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@@ -192,13 +227,14 @@
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"metadata": {},
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"outputs": [],
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"source": [
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"show_error(\"matrix_linear.txt\", \"linear_real_y_20.txt\")"
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"show_error(linear_file, f\"linear_real_y_{N}.txt\")\n",
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"show_error(cubic_file, f\"cubic_real_y_{N}.txt\")"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": ".venv",
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"display_name": "Python 3",
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"language": "python",
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"name": "python3"
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},
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