کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641160 1341298 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A reduced finite difference scheme based on singular value decomposition and proper orthogonal decomposition for Burgers equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A reduced finite difference scheme based on singular value decomposition and proper orthogonal decomposition for Burgers equation
چکیده انگلیسی

In this article, a reduced optimizing finite difference scheme (FDS) based on singular value decomposition (SVD) and proper orthogonal decomposition (POD) for Burgers equation is presented. Also the error estimates between the usual finite difference solution and the POD solution of reduced optimizing FDS are analyzed. It is shown by considering the results obtained for numerical simulations of cavity flows that the error between the POD solution of reduced optimizing FDS and the solution of the usual FDS is consistent with theoretical results. Moreover, it is also shown that the reduced optimizing FDS is feasible and efficient.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 229, Issue 1, 1 July 2009, Pages 97–107
نویسندگان
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