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A high order robust numerical scheme for singularly perturbed delay parabolic convection diffusion problems
Journal of Applied Mathematics and Computing ( IF 2.2 ) Pub Date : 2021-03-29 , DOI: 10.1007/s12190-021-01512-1
Gajendra Babu , Komal Bansal

In this paper, a robust non standard numerical scheme has been analysed for singularly perturbed parabolic convection-diffusion problems with time delay. The numerical scheme comprises of implicit Euler method, Richardson extrapolation technique and non standard techniques developed by Mickens. Parameter uniform estimates for stability and consistency have been proved. Numerical experiments have been carried out to corroborate the theoretical results.



中文翻译:

奇摄动时滞抛物对流扩散问题的高阶鲁棒数值格式

在本文中,分析了具有时滞的奇摄动抛物线对流扩散问题的鲁棒非标准数值格式。数值方案包括隐式欧拉方法,理查森外推技术和米肯斯开发的非标准技术。已经证明了参数统一估计的稳定性和一致性。已经进行了数值实验以证实理论结果。

更新日期:2021-03-29
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