کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10678292 | 1012817 | 2013 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The parameter uniform numerical method for singularly perturbed parabolic reaction-diffusion problems on equidistributed grids
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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: The parameter uniform numerical method for singularly perturbed parabolic reaction-diffusion problems on equidistributed grids The parameter uniform numerical method for singularly perturbed parabolic reaction-diffusion problems on equidistributed grids](/preview/png/10678292.png)
چکیده انگلیسی
This article presents the study of singularly perturbed parabolic reaction-diffusion problems with boundary layers. To solve these problems, we use a modified backward Euler finite difference scheme on layer adapted nonuniform meshes at each time level. The nonuniform meshes are obtained by equidistribution of a positive monitor function, which involves the second-order spatial derivative of the singular component of the solution. The equidistributing monitor function at each time level allows us to use this technique to non-linear parabolic problems. The truncation error and the stability analysis are obtained. Parameter-uniform error estimates are derived for the numerical solution. To support the theoretical results, numerical experiments are carried out.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 26, Issue 11, November 2013, Pages 1053-1060
Journal: Applied Mathematics Letters - Volume 26, Issue 11, November 2013, Pages 1053-1060
نویسندگان
S. Gowrisankar, Srinivasan Natesan,