Merge pull request barbagroup#53 from petebachant/patch-4

gforsyth · web-flow · commit f02d54255c3a · 2018-07-11T10:27:06.000-04:00
Change "non-linear" to "nonlinear" and add missing period
diff --git a/lessons/02_Step_2.ipynb b/lessons/02_Step_2.ipynb
@@ -34,7 +34,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "Step 2: Non-linear Convection\n",
+    "Step 2: Nonlinear Convection\n",
     "-----\n",
     "***"
    ]
@@ -43,11 +43,11 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "Now we're going to implement non-linear convection using the same methods as in step 1.  The 1D convection equation is:\n",
+    "Now we're going to implement nonlinear convection using the same methods as in step 1.  The 1D convection equation is:\n",
     "\n",
     "$$\\frac{\\partial u}{\\partial t} + u \\frac{\\partial u}{\\partial x} = 0$$\n",
     "\n",
-    "Instead of a constant factor $c$ multiplying the second term, now we have the solution $u$ multiplying it. Thus, the second term of the equation is now *non-linear*  We're going to use the same discretization as in Step 1 — forward difference in time and backward difference in space. Here is the discretized equation.\n",
+    "Instead of a constant factor $c$ multiplying the second term, now we have the solution $u$ multiplying it. Thus, the second term of the equation is now *nonlinear*. We're going to use the same discretization as in Step 1 — forward difference in time and backward difference in space. Here is the discretized equation.\n",
     "\n",
     "$$\\frac{u_i^{n+1}-u_i^n}{\\Delta t} + u_i^n \\frac{u_i^n-u_{i-1}^n}{\\Delta x} = 0$$\n",
     "\n",
@@ -91,7 +91,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "The code snippet below is *unfinished*. We have copied over the line from [Step 1](./01_Step_1.ipynb) that executes the time-stepping update. Can you edit this code to execute the non-linear convection instead?"
+    "The code snippet below is *unfinished*. We have copied over the line from [Step 1](./01_Step_1.ipynb) that executes the time-stepping update. Can you edit this code to execute the nonlinear convection instead?"
    ]
   },
   {
@@ -119,7 +119,7 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "What do you observe about the evolution of the hat function under the non-linear convection equation? What happens when you change the numerical parameters and run again?"
+    "What do you observe about the evolution of the hat function under the nonlinear convection equation? What happens when you change the numerical parameters and run again?"
    ]
   },
   {
