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ddrous committed May 28, 2024
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Expand Up @@ -30,12 +30,9 @@ pip install updes
```

The example below illustrates how to solve the Laplace equation with Dirichlet and Neumann boundary conditions:
$$ \frac{\partial^2 u}{\partial x^2} + \frac{\partial^2 u}{\partial y^2} = 0 \qquad \qquad \qquad \text{in } [0,1]\times [0,1] \\
\quad \,\,\, u(x,1) = \sin(\pi x) \qquad \quad \text{on } [0,1]\times \{1\} \\
\frac{\partial u}{\partial y}(x,0) = 0 \qquad \qquad \quad \text{on } [0,1]\times \{0\} \\
\qquad u(\cdot,y) = 0 \qquad \qquad \quad \text{on } \{0,1\}\times [0,1]$$


<center>
<img src="docs/assets/LaplacePDE.png" width="250">
</center>

```python
import updes
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