Added additional notebook

Author: hirish99

test/plot_normal_recurrence.ipynb

@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -13,7 +13,7 @@
     "    make_identity_diff_op,\n",
     ")\n",
     "\n",
-    "from sumpy.recurrence import get_recurrence\n",
+    "from sumpy.recurrence import get_recurrence, _generate_nd_derivative_relations, pde_to_ode_in_r, ode_in_r_to_x\n",
     "\n",
     "import sympy as sp\n",
     "from sympy import hankel1\n",
@@ -28,7 +28,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [

test/testing_pde_to_ode.ipynb

@@ -0,0 +1,127 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from sumpy.recurrence import _make_sympy_vec, get_processed_and_shifted_recurrence\n",
+    "\n",
+    "from sumpy.expansion.diff_op import (\n",
+    "    laplacian,\n",
+    "    make_identity_diff_op,\n",
+    ")\n",
+    "\n",
+    "from sumpy.recurrence import get_recurrence, _generate_nd_derivative_relations, pde_to_ode_in_r, ode_in_r_to_x\n",
+    "\n",
+    "import sympy as sp\n",
+    "from sympy import hankel1\n",
+    "\n",
+    "import numpy as np\n",
+    "\n",
+    "import math\n",
+    "\n",
+    "import matplotlib.pyplot as plt\n",
+    "from matplotlib import cm, ticker"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from sumpy.expansion.diff_op import DerivativeIdentifier, LinearPDESystemOperator\n",
+    "from immutabledict import immutabledict"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def get_ode_in_x(x_order, y_order):\n",
+    "    single_partial = DerivativeIdentifier((x_order,y_order), 0)\n",
+    "    #Coefficients\n",
+    "    list_pde_dict = immutabledict({single_partial: 1})\n",
+    "    random_pde = LinearPDESystemOperator(2,(list_pde_dict,))\n",
+    "\n",
+    "    ode_in_r_random, var, ode_order_random = pde_to_ode_in_r(random_pde)\n",
+    "    ode_in_x_random = ode_in_r_to_x(ode_in_r_random, var, ode_order_random).simplify()\n",
+    "\n",
+    "    return ode_in_x_random"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "size = 3\n",
+    "table = []\n",
+    "for i in range(size):\n",
+    "    temp = []\n",
+    "    for j in range(size):\n",
+    "        temp.append(get_ode_in_x(i, j))\n",
+    "    table.append(temp)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[[f_x0, f_x1*x1/x0, (f_x1*x0**2 - f_x1*x1**2 + f_x2*x0*x1**2)/x0**3],\n",
+       " [f_x1,\n",
+       "  x1*(-f_x1 + f_x2*x0)/x0**2,\n",
+       "  (-f_x1*x0**2 + 3*f_x1*x1**2 + f_x2*x0**3 - 3*f_x2*x0*x1**2 + f_x3*x0**2*x1**2)/x0**4],\n",
+       " [f_x2,\n",
+       "  x1*(2*f_x1 - 2*f_x2*x0 + f_x3*x0**2)/x0**3,\n",
+       "  (2*f_x1*x0**2 - 12*f_x1*x1**2 - 2*f_x2*x0**3 + 12*f_x2*x0*x1**2 + f_x3*x0**4 - 5*f_x3*x0**2*x1**2 + f_x4*x0**3*x1**2)/x0**5]]"
+      ]
+     },
+     "execution_count": 30,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "table"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "inteq",
+   "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": "3.11.9"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}