کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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470394 | 698462 | 2014 | 13 صفحه PDF | دانلود رایگان |

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.
Journal: Computers & Mathematics with Applications - Volume 68, Issue 10, November 2014, Pages 1355–1367