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Update 02_cfd.ipynb #79

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4 changes: 2 additions & 2 deletions book/content/modelling/02_fluids/02_cfd.ipynb
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Expand Up @@ -18031,7 +18031,7 @@
"\\mf u^{n+1} = u^n + \\Delta t \\cdot rhs^n + \\mathcal{O}(\\Delta t)\\quad .\n",
"$$ (eq-cfd-time-forward-euler)\n",
"\n",
"The equation {eq}`eq-cfd-time-forward-euler` is the explicit / forward Euler method. It is graphicaly demonstrated in {numref}`fig-fluid-time-explicit`.\n",
"The equation {eq}`eq-cfd-time-forward-euler` is the explicit / forward Euler method. It is graphically demonstrated in {numref}`fig-fluid-time-explicit`.\n",
"\n",
":::{figure-md} fig-fluid-time-explicit\n",
"\n",
Expand All @@ -18050,7 +18050,7 @@
"source": [
"### Implicit Euler Method\n",
"\n",
"The evaluation of the derivative in {eq}`eq-cfd-time-forward-euler` at $\\mf t_n$ is just one possibility. In the same mannor as the directional spatial derivatives, the evaluation can be done at $\\mf t_{n+1}$ and leads to the folowing iteration formula:\n",
"The evaluation of the derivative in {eq}`eq-cfd-time-forward-euler` at $\\mf t_n$ is just one possibility. In the same manner as the directional spatial derivatives, the evaluation can be done at $\\mf t_{n+1}$ and leads to the folowing iteration formula:\n",
"\n",
"$$\n",
"\\mf u^{n+1} = u^n + \\Delta t \\cdot rhs^{n+1} + \\mathcal{O}(\\Delta t)\\quad .\n",
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