Одномерное уравнение Фишера-Колмогорова-Петровского-Пискунова с нелокальной нелинейностью и аномальной диффузией; Перспективы развития фундаментальных наук
| Parent link: | Перспективы развития фундаментальных наук.— 2014.— [С. 668-670] |
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| मुख्य लेखक: | |
| निगमित लेखक: | |
| अन्य लेखक: | |
| सारांश: | Заглавие с экрана Analytical solutions are constructed for the nonlocal space fractional Fisher-Kolmogorov-Petrovskii-Piskunov equation with abnormal diffusion. Such solutions allow us to describe quasi-steady state patterns. Special attention is given to the role of fractional derivative. The resulting solutions spread faster than the classical solutions and may exhibit asymmetry, depending on the fractional derivative used. Results of numerical simulations and properties of analytical solutions are presented. Influence of the fractional derivative on patterns ordered in space and time is discussed. |
| भाषा: | रूसी |
| प्रकाशित: |
2014
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| श्रृंखला: | Математика |
| विषय: | |
| ऑनलाइन पहुंच: | http://www.lib.tpu.ru/fulltext/c/2014/C21/224.pdf |
| स्वरूप: | इलेक्ट्रोनिक पुस्तक अध्याय |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=606968 |