Одномерное уравнение Фишера-Колмогорова-Петровского-Пискунова с нелокальной нелинейностью и аномальной диффузией
| Parent link: | Перспективы развития фундаментальных наук=Prospects of fundamental sciences development: сборник научных трудов XI Международной конференция студентов и молодых ученых, г. Томск, 22-25 апреля 2014 г./ Национальный исследовательский Томский политехнический университет (ТПУ) ; под ред. Е. А. Вайтулевич. [С. 668-670].— , 2014 |
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| المؤلف الرئيسي: | |
| مؤلف مشترك: | |
| مؤلفون آخرون: | |
| الملخص: | 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. |
| منشور في: |
2014
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| سلاسل: | Математика |
| الموضوعات: | |
| الوصول للمادة أونلاين: | http://www.lib.tpu.ru/fulltext/c/2014/C21/224.pdf |
| التنسيق: | الكتروني فصل الكتاب |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=606968 |
| وصف مادي: | 1 файл(420 Кб) |
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| الملخص: | 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. |