| Autor: |
Maryana Levkovych, Yaroslav Kaplunskyy, Yaroslav Sokolovskyy, Olha Mokrytska |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
2018 IEEE 13th International Scientific and Technical Conference on Computer Sciences and Information Technologies (CSIT). |
| DOI: |
10.1109/stc-csit.2018.8526702 |
| Popis: |
Mathematical models are constructed and numerical methods are devised for investigation of deformation-relaxation and heat-mass exchange processes in the environment of fractal structure, taking into account memory effects and spatial correlation. Mathematical models based on integro-differentiation of fractional order to describe the evolution of physical systems with residual memory and self-similarity of fractal structure are obtained. They occupy an intermediate position between Markov's systems and systems which are characterized by complete memory. In particular, the fractional index indicates the share of system states that are stored throughout the process of its functioning. Algorithmic support for numerical simulation of environments of fractal structure is developed, which includes the development of parallel algorithms for the implementation of mathematical models. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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