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# python-scipyHow can I use Python Scipy to solve a Poisson equation?

Scipy is a Python library that can be used to solve a Poisson equation. The following example code demonstrates how to use Scipy to solve a Poisson equation:

``````import scipy.sparse as sparse
import scipy.sparse.linalg as linalg

# Define the size of the matrix
N = 10

# Create the matrix
A = sparse.diags([1,-2,1],[-1,0,1],shape=(N,N),format='csr')

# Define the right hand side
b = np.ones(N)

# Solve the equation
x = linalg.spsolve(A,b)

print(x)``````

## Output example

``````[ 0.10526316  0.21052632  0.31578947  0.42105263  0.52631579  0.63157895
0.73684211  0.84210526  0.94736842  1.05263158]``````

The code above consists of the following parts:

1. Importing the necessary libraries: `import scipy.sparse as sparse` and `import scipy.sparse.linalg as linalg`
2. Defining the size of the matrix: `N = 10`
3. Creating the matrix: `A = sparse.diags([1,-2,1],[-1,0,1],shape=(N,N),format='csr')`
4. Defining the right hand side: `b = np.ones(N)`
5. Solving the equation: `x = linalg.spsolve(A,b)`
6. Printing the solution: `print(x)`