کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4629040 | 1340573 | 2013 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical algorithms for a variational problem of the spatial segregation of reaction–diffusion systems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper is concerned with the numerical approximation of a class of stationary states for reaction–diffusion system with m densities having disjoint support, which are governed by a minimization problem. We use quantitative properties of both, solutions and free boundaries, to derive our scheme. Furthermore, the proof of convergence of the numerical method is given in some particular cases. The proposed numerical scheme is applied for the spatial segregation limit of diffusive Lotka–Volterra models in presence of high competition and inhomogeneous Dirichlet boundary conditions. The numerical implementations of the resulting approach are discussed and computational tests are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 17, 1 May 2013, Pages 8863–8875
Journal: Applied Mathematics and Computation - Volume 219, Issue 17, 1 May 2013, Pages 8863–8875
نویسندگان
Farid Bozorgnia, Avetik Arakelyan,