A point source function is constructed and investigated for a grid analog of the two-dimensional model convection-diffusion and reaction-diffusion equation on rectangular grids. The exact representation of this function at a point coinciding with the source is found depending on the following parameters: the mesh width h, the mesh widths ratio N, the parameter α characterizing the difference scheme, and the small parameter e in the equation. Asymptotic expansions of this representation are constructed for different types of parameter behavior.
展开▼
