NUMERICAL ANALYSIS OF THE MATHEMATICAL MODEL OF DIFFUSION PROCESSES ON ONE-DIMENSIONAL NETWORK
Diffusion processes in a one-dimensional network described by parabolic equations with distributed parameters on a geometric graph are considered. The notions of edges and nodes of the graph are introduced, the orientation and parametrization of the edges of the graph are established, so-called Kirchhoff type matching conditions are defined at all node points, the corresponding restrictions of the parabolic equation take place on the set of interior points of all edges of the graph.