کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
470394 698462 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
High order parameter-uniform discretization for singularly perturbed parabolic partial differential equations with time delay
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
High order parameter-uniform discretization for singularly perturbed parabolic partial differential equations with time delay
چکیده انگلیسی

In this article we study numerical approximation for singularly perturbed parabolic partial differential equations with time delay. A priori bounds on the exact solution and its derivatives, which are useful for the error analysis of the numerical method are given. The problem is discretized by a hybrid scheme on a generalized Shishkin mesh in spatial direction and the implicit Euler scheme on a uniform mesh in time direction. We then design a Richardson extrapolation scheme to increase the order of convergence in time direction. The resulting scheme is proved to be second order accurate in time direction and fourth order (with a factor of logarithmic type) accurate in spatial direction. Numerical experiments are performed to support the theoretical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 68, Issue 10, November 2014, Pages 1355–1367
نویسندگان
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