Implementation and package functions
Above, it was shown that we need to solve the equation:
(6.18)
where A is the coefficient matrix, given in Equations (6.14) and (6.17), φ is the vector that we are trying to find and represents, for example, the temperature at the grid points. The vector b has elements given by the source term and grid distance for interior grid point, as well as the boundary conditions for boundary points. We may write this as:
(6.19)
To solve the Poisson equation, we basically need to:
- Specify the source term and the boundary values. ...
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