Poisson-solver-2D

Finite difference solution of 2D Poisson equation

Current version can handle Dirichlet boundary conditions:

(left boundary value)

(right boundary value)

(Top boundary value)

(Bottom boundary value)

The boundary values themselves can be functions of (x,y).

Package requirements

• NumPy
• SciPy (sparse matrices, sparse linear algebra)

Version notes

• version 1.1

  • Fixed a bug regarding the right-hand function
  • Figure size and font size adjusted

• version 1.0 notes

  • Sparse matrix implementation. CSR format (Compressed sparse row matrix) matrix.

Sample Output

Solution of with boundary conditions is shown below:

References

• Sparse matrices: https://docs.scipy.org/doc/scipy/reference/sparse.html
• Sparse matrix linear algebra: https://docs.scipy.org/doc/scipy/reference/sparse.linalg.html