# Solution of Poisson's equation

Poisson equation occurs in many forms in CFD. Efficient and fast solution to Poisson equation is important aspect of CFD.

In CFD the Poisson equation occurs mainly in the form:

${\partial \over {\partial x_j }}\left( {\Gamma {{\partial \phi } \over {\partial x_j }}} \right) = q_\phi$

## The solution

The left hand side can be discretised in the manner explained in section related to diffusive term . The diffusive term can be broken into two explicit and implicit parts.