Sinc approximation method for solving system of singularly perturbed parabolic convection-diffusion equations

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

Applied Numerical Mathematics Pub Date : 2025-05-21 DOI:10.1016/j.apnum.2025.05.005

N. Barzehkar, A. Barati, R. Jalilian

引用次数: 0

Abstract

In this paper, the Sinc-collocation method is used to solve singularly perturbed parabolic convection-diffusion system. The convergence analysis of the proposed method is discussed, it is shown that the convergence of the method is at an exponential rate in space dimension. Finally, some numerical results are given to validate the theoretical results. Also, the obtained results show the accuracy and efficiency of the method compared with other methods.

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求解奇异摄动抛物型对流扩散方程组的Sinc逼近方法

本文采用c-配点法求解奇异摄动抛物型对流扩散方程组。讨论了该方法的收敛性分析，结果表明，该方法在空间维度上具有指数级的收敛性。最后给出了一些数值结果来验证理论结果。结果表明，该方法与其他方法相比具有较高的精度和效率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Numerical Mathematics 数学-应用数学

CiteScore

5.60

自引率

7.10%

发文量

225

审稿时长

7.2 months

期刊介绍： The purpose of the journal is to provide a forum for the publication of high quality research and tutorial papers in computational mathematics. In addition to the traditional issues and problems in numerical analysis, the journal also publishes papers describing relevant applications in such fields as physics, fluid dynamics, engineering and other branches of applied science with a computational mathematics component. The journal strives to be flexible in the type of papers it publishes and their format. Equally desirable are: (i) Full papers, which should be complete and relatively self-contained original contributions with an introduction that can be understood by the broad computational mathematics community. Both rigorous and heuristic styles are acceptable. Of particular interest are papers about new areas of research, in which other than strictly mathematical arguments may be important in establishing a basis for further developments. (ii) Tutorial review papers, covering some of the important issues in Numerical Mathematics, Scientific Computing and their Applications. The journal will occasionally publish contributions which are larger than the usual format for regular papers. (iii) Short notes, which present specific new results and techniques in a brief communication.