奇摄动双参数抛物对流扩散问题的计算方法

IF 0.1 Q4 MATHEMATICS
T. Mekonnen, G. Duressa
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引用次数: 15

摘要

摘要本文讨论了两个小正参数乘以对流项和扩散项的奇摄动抛物型对流-扩散问题的数值解。为了解决这些问题,提出了一种参数统一计算方法。该方法的稳定性和一致性得到了很好的证实。数值实验表明,与文献中的一些方法相比,该公式化方法稳定、一致,并给出了更准确的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Computational method for singularly perturbed two-parameter parabolic convection-diffusion problems
Abstract This paper deals with the numerical solution of singularly perturbed parabolic convection-diffusion problems with two small positive parameters multiplying the convection and diffusion terms. A parameter-uniform computational method is developed to solve these problems. The stability and consistency of the method are well established. Numerical experimentation is done and it is observed that the formulated method is stable, consistent and gives more accurate results than some methods exist in the literature.
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