Fix typos in step-52.

git-svn-id: https://svn.dealii.org/trunk@32987 0785d39b-7218-0410-832d-ea1e28bc413d

diff --git a/deal.II/examples/step-52/doc/intro.dox b/deal.II/examples/step-52/doc/intro.dox
index 9e8f9605f7a3d66d843698e2bf135e1ab17a4261..926c81cdb42e644c4ce97201bd0c858b2f03c6e4 100644 (file)
--- a/deal.II/examples/step-52/doc/intro.dox
+++ b/deal.II/examples/step-52/doc/intro.dox
@@ -61,7 +61,7 @@ where
 @f{eqnarray*}
 k_i = h M^{-1} f\left(t_n+c_ih,y_n+\sum_{j=1}^sa_{ij}k_j\right)
 @f}
-with $a_{ij}$, $b_i$, and $c_i$ are known coefficient and $h$ is the time step
+where $a_{ij}$, $b_i$, and $c_i$ are known coefficients and $h$ is the time step
 used. At the time of the writing of this tutorial, the methods implemented in
 deal.II can be divided in three categories:
 <ol>

diff --git a/deal.II/examples/step-52/doc/results.dox b/deal.II/examples/step-52/doc/results.dox
index 29fe0f6022824af4aae168ad1f1337fa34f87043..cc3aeb9f400d43387c249e69a6bba0fc0332f280 100644 (file)
--- a/deal.II/examples/step-52/doc/results.dox
+++ b/deal.II/examples/step-52/doc/results.dox
@@ -24,7 +24,7 @@ Cash-Karp error: 2.5579e-10
 Number of steps done: 200
 @endcode
 
-Like expected the high-order methods give a more accurate solutions. We see that
+Like expected the high-order methods give a more accurate solution. We see that
 the Heun-Euler method adapted the number of time steps in order to satisfy the
 tolerance. The others embedded methods did not need to change the number of time
 steps.