کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4633540 | 1340673 | 2008 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Upwind and midpoint upwind difference methods for time-dependent differential difference equations with layer behavior
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper we have considered an important class of time-dependent singularly perturbed convection-diffusion problems with retarded terms which often arise in Computational Neuroscience. We used Taylors series to approximate the retarded terms and the resulting time-dependent singularly perturbed differential equation is approximated using parameters uniform numerical methods based on Euler implicit, upwind and midpoint upwind finite difference schemes. We discretize the continuous problem using implicit Euler scheme in the time direction with a constant step size and the resulting system of equations is approximated using upwind and midpoint upwind difference schemes on a piecewise uniform mesh. We will prove the uniform convergence of these two schemes. Numerical experiments support the convergence results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 202, Issue 2, 15 August 2008, Pages 453-471
Journal: Applied Mathematics and Computation - Volume 202, Issue 2, 15 August 2008, Pages 453-471
نویسندگان
V.P. Ramesh, M.K. Kadalbajoo,