Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6421204 | Applied Mathematics and Computation | 2014 | 20 Pages |
Abstract
This paper deals with solutions of diffusion-type partial dynamic equations on discrete-space domains. We provide two methods for finding explicit solutions, examine their asymptotic behavior and time integrability. These properties depend significantly not only on the underlying time structure but also on the dimension and symmetry of the problem. Throughout the paper, the results are interpreted in the context of random walks and related stochastic processes.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
AntonÃn SlavÃk, Petr StehlÃk,