کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639849 1341252 2011 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model
چکیده انگلیسی

In this paper we develop high order positivity-preserving finite volume weighted essentially non-oscillatory (WENO) schemes for solving a hierarchical size-structured population model with nonlinear growth, mortality and reproduction rates. We carefully treat the technical complications in boundary conditions and global integration terms to ensure high order accuracy and the positivity-preserving property. Comparing with the previous high order difference WENO scheme for this model, the positivity-preserving finite volume WENO scheme has a comparable computational cost and accuracy, with the added advantages of being positivity-preserving and having L1L1 stability. Numerical examples, including that of the evolution of the population of Gambusia affinis, are presented to illustrate the good performance of the scheme.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 5, 1 October 2011, Pages 937–949
نویسندگان
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