Conference material: "Proceedings of the 7th International Conference “Futurity designing. Digital reality problems” (February 15-16, 2024, Moscow)"
Authors:Stepantsov M.E.
Cellular automata as mathematical models
Abstract:
The paper considers using cellular automata as mathematical models to solve problems based on differential equations. The convergence of the solution obtained using a cellular automaton to the solution of the original differential equation has been proven for a class of problems used in socio-economic modeling. We discuss the applicability of cellular automata in such problems.