کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8901024 | 1631726 | 2018 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Nonlinear diffusion equation with reaction terms: Analytical and numerical results
ترجمه فارسی عنوان
معادله نفوذ غیرخطی با شرایط واکنش: نتایج تحلیلی و عددی
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کلمات کلیدی
انتشار ناهموار، معادله نفوذ غیر خطی، معادله نفوذ غیرخطی، آنتروپی تاسالیس،
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
چکیده انگلیسی
We investigate a process obtained from a combination of nonlinear diffusion equations with reaction terms connected to a reversible process, i.e., 1â2, of two species. This feature implies that the species 1 reacts producing the species 2, and vice-versa. A particular case emerging from this scenario is represented by 1â¯ââ¯2 (or 2â¯ââ¯1), characterizing an irreversible process where one species produces the other. The results show that in the asymptotic limit of small and long times the behavior of the species is essentially governed by the diffusive terms. For intermediate times, the behavior of the system and particularly the rates depends on the reaction terms. In the presence of external forces, significant changes occur in the asymptotic limits. For these cases, we relate the solutions with the q-exponential function of the Tsallis statistic to highlight the compact or long-tailed behavior of the solutions and to establish a connection with the Tsallis thermo-statistic. We also extend the results to the spatial fractional differential operator by considering long-tailed distributions for the probability density function.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 330, 1 August 2018, Pages 254-265
Journal: Applied Mathematics and Computation - Volume 330, 1 August 2018, Pages 254-265
نویسندگان
E.K. Lenzi, M.A. Ribeiro, M.E.K. Fuziki, M.K. Lenzi, H.V. Ribeiro,