کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1705625 1012436 2010 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A parameter uniform difference scheme for parabolic partial differential equation with a retarded argument
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
A parameter uniform difference scheme for parabolic partial differential equation with a retarded argument
چکیده انگلیسی

The paper deals with the analysis of a non-stationary parabolic partial differential equation with a time delay. The highest order derivative term is affected by the small parameter. This is precisely the case when the magnitude of the convective term becomes much larger compare to that of diffusion term. The solution of problem exhibits steep gradients in the narrow intervals of space and short interval of times. In these cases a dissipative loss turned out to be more complex. Even for the one spatial dimension and one temporal variable, not all difference scheme can capture these steep variation. Although the analysis is restricted to the model in one space dimension, the technique and comparison principles developed should prove useful in assessing the merits of numerical solution of other nonlinear model equations too.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 34, Issue 12, December 2010, Pages 4232–4242
نویسندگان
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