کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641132 1341297 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Non-standard finite-differences schemes for generalized reaction–diffusion equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Non-standard finite-differences schemes for generalized reaction–diffusion equations
چکیده انگلیسی

Reaction–diffusion equations are commonly used in different science and engineering fields to describe spatial patterns arising from the interaction of chemical or biochemical reactions and diffusive transport mechanisms. In this work we design, in a systematic way, non-standard finite-differences (FD) schemes for a class of reaction–diffusion equations of the form 1xσddx(xσdudx)=f(u(x)), x∈[0,1]x∈[0,1], where σσ is the shape power that accounts for the complexity of the domain geometry. The proposed FD scheme, that is derived from a Green’s function formulation, replicates the underlying geometry and reduces to traditional FD schemes for sufficiently small values of the grid spacing. Numerical results show that the non-standard FD scheme offers smaller approximation errors with respect to traditional schemes, specially for coarse grids.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 228, Issue 1, 1 June 2009, Pages 334–343
نویسندگان
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