Some Consolidation Dynamics Problems within the Framework of the Biparabolic Mathematical Model and its Fractional-Differential Analog
| Autor: | V. O. Bohaienko, V. M. Bulavatsky |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
021103 operations research
General Computer Science Consolidation (soil) Mathematical model Computer science 010102 general mathematics Dynamics (mechanics) 0211 other engineering and technologies Inverse 02 engineering and technology 01 natural sciences Evolution equation Convergence (routing) Filtration (mathematics) Applied mathematics 0101 mathematics Fractional differential |
| Zdroj: | Cybernetics and Systems Analysis. 56:770-783 |
| ISSN: | 1573-8337 1060-0396 |
| DOI: | 10.1007/s10559-020-00298-7 |
| Popis: | The paper deals with mathematical modeling of dynamic processes of filtration consolidation in saturated geoporous media within the framework of non-classical mathematical models based on biparabolic evolution equation and its fractional-differential analog. We state and obtain regularized solutions of inverse retrospective problems of consolidation theory according to the above-mentioned models; obtain the convergence estimates for the found regularized solutions; and present the results of numerical experiments. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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