17. Introduction to Computational Fluid Dynamics#
17.1. Simulating Fluid Flows Using Python#
\[\begin{split}
\begin{aligned}
f\left(x_0+h\right)&=
f\left(x_0\right)+
hf^{\prime}\left(x_0\right)+
\frac{h^2}{2!}f^{\prime\prime}\left(x_0\right)+
\cdots+
\frac{h^n}{n!}f^{\left(n\right)}\left(x_0\right)+
\cdots\\
f\left(x_0-h\right)&=
f\left(x_0\right)-
hf^{\prime}\left(x_0\right)+
\frac{h^2}{2!}f^{\prime\prime}\left(x_0\right)-
\cdots+
{\left(-1\right)}^{n}
\frac{h^n}{n!}f^{\left(n\right)}\left(x_0\right)+
\cdots
\end{aligned}
\end{split}\]