Article ID Journal Published Year Pages File Type
6421204 Applied Mathematics and Computation 2014 20 Pages PDF
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
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