کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9877661 | 1534089 | 2005 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Pattern formations and spatial entropy for spatially discrete diffusion equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Pattern formations and spatial entropy for spatially discrete diffusion equations Pattern formations and spatial entropy for spatially discrete diffusion equations](/preview/png/9877661.png)
چکیده انگلیسی
Formation of mosaic patterns for spatially discrete diffusion equations with cubic nonlinearity is investigated. We construct feasible basic patterns in each parameter region and combine these basic patterns into large patterns on one- and two-dimensional lattices. The basic patterns are characterized and constructed through formulating parameter conditions based on a geometrical setting. Spatial entropy associated with these patterns are computed or estimated. We also consider three typical boundary conditions and investigate their influences on pattern formations and spatial entropy. Several numerical computations are performed to illustrate such a formation of patterns.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 204, Issues 3â4, 15 May 2005, Pages 135-160
Journal: Physica D: Nonlinear Phenomena - Volume 204, Issues 3â4, 15 May 2005, Pages 135-160
نویسندگان
Chang-Yuan Cheng, Chih-Wen Shih,