Commit d29ca9cd authored by Éamonn Murray's avatar Éamonn Murray

Fix some typos

parent f455fb06
......@@ -639,8 +639,8 @@
" \n",
" Returns\n",
" -------\n",
" x, v : float, array\n",
" Position and velocity at each timestep.\n",
" x : float, array\n",
" Position at each timestep.\n",
" '''\n",
" # Initialize an empty arrays that will store x at each timestep.\n",
" x = np.empty(nt)\n",
......@@ -781,7 +781,7 @@
},
"outputs": [],
"source": [
"# Find the trajectory using our leapfrog function for\n",
"# Find the trajectory using our verlet function for\n",
"# two different starting values.\n",
"xvals3 = verlet(accel_quartic, 0.01, 0.0, dt, nt)\n",
"xvals4 = verlet(accel_quartic, 0.75, 0.0, dt, nt)\n",
......@@ -879,7 +879,7 @@
},
"outputs": [],
"source": [
"# Find the trajectory using our leapfrog function for\n",
"# Find the trajectory using our velocity-verlet function for\n",
"# two different starting values.\n",
"xvals5 = velocityverlet(accel_quartic, 0.01, 0.0, dt, nt)\n",
"xvals6 = velocityverlet(accel_quartic, 0.75, 0.0, dt, nt)\n",
......@@ -923,7 +923,7 @@
"and e.g. a central difference for the second derivative:\n",
"\n",
"$$\n",
"f''(x) \\approx \\frac{f(x+h)-2f(x)-f(x-h)}{h^2}\n",
"f''(x) \\approx \\frac{f(x+h)-2f(x)+f(x-h)}{h^2}\n",
"$$\n",
"\n",
"Say we're trying to solve some PDE of function in position and time, such as the heat or diffusion equation in one dimension:\n",
......
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