کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1707088 | 1012498 | 2008 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the sign-stability of numerical solutions of one-dimensional parabolic problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the sign-stability of numerical solutions of one-dimensional parabolic problems On the sign-stability of numerical solutions of one-dimensional parabolic problems](/preview/png/1707088.png)
چکیده انگلیسی
The preservation of the qualitative properties of physical phenomena in numerical models of these phenomena is an important requirement in scientific computations. In this paper, the numerical solutions of a one-dimensional linear parabolic problem are analysed. The problem can be considered as a altitudinal part of a split air pollution transport model or a heat conduction equation with a linear source term. The paper is focussed on the so-called sign-stability property, which reflects the fact that the number of the spatial sign changes of the solution does not grow in time. We give sufficient conditions that guarantee the sign-stability both for the finite difference and the finite element methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 32, Issue 8, August 2008, Pages 1570–1578
Journal: Applied Mathematical Modelling - Volume 32, Issue 8, August 2008, Pages 1570–1578
نویسندگان
Róbert Horváth,