کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9509438 | 1341396 | 2005 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A MATLAB implementation of upwind finite differences and adaptive grids in the method of lines
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A MATLAB implementation of upwind finite differences and adaptive grids in the method of lines A MATLAB implementation of upwind finite differences and adaptive grids in the method of lines](/preview/png/9509438.png)
چکیده انگلیسی
In this paper, we report on the development of a MATLAB library for the solution of partial differential equation systems following the method of lines. In particular, we focus attention on upwind finite difference schemes and grid adaptivity, i.e., grid movement or grid refinement. Several algorithms are presented and their performance is demonstrated with illustrative examples including a fixed-bed reactor with periodic flow reversal, a model of flame propagation, and the Korteweg-de Vries equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 183, Issue 2, 15 November 2005, Pages 245-258
Journal: Journal of Computational and Applied Mathematics - Volume 183, Issue 2, 15 November 2005, Pages 245-258
نویسندگان
A. Vande Wouwer, P. Saucez, W.E. Schiesser, S. Thompson,