奇异摄动抛物型对流扩散问题的拟合算子平均有限差分法

T. Aga, G. File, G. Degla
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引用次数: 7

摘要

本文研究了求解具有右侧边界层的奇异摄动抛物型对流扩散问题的拟合算子平均有限差分法。将解域均匀离散后,用平均有限差分近似代替微分方程,得到各时间层次上的代数方程组。建立的方法具有很好的稳定性和一致性,保证了方法的收敛性。此外,给出了一些数值结果来支持我们的理论结果,并验证了使用拟合算子方法的优越性
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fitted Operator Average Finite Difference Method for Singularly Perturbed Parabolic Convection- Diffusion Problem
In this paper, we study a fitted operator average finite difference method for solving singularly perturbed parabolic convection-diffusion problems with boundary layer at right side. After discretizing the solution domain uniformly, the differential equation is replaced by average finite difference approximation which gives system of algebraic equation at each time levels. The stability and consistency of the method established very well to guarantee the convergence of the method. Furthermore, some numerical results are given to support our theoretical results and to validate the betterment of using fitted operator methods
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