对流扩散方程的谱配位法

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2024-01-01 DOI:10.1515/dema-2023-0110

Jin Li, Yongling Cheng

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引用次数: 0

摘要

针对具有恒定系数的对流-扩散（C-D）方程，考虑了名为线性巴里中心有理插值配位法（LBRICM）的谱配位方法。我们将离散线性方程转换为矩阵方程。与经典的 C-D 方程求解方法不同，我们在求解 C-D 方程时同时得到了时间变量和空间变量。此外，我们还证明了 LBRICM 对 C-D 方程的收敛率。我们还给出了数值实例来检验我们的分析。

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Spectral collocation method for convection-diffusion equation

Spectral collocation method, named linear barycentric rational interpolation collocation method (LBRICM), for convection-diffusion (C-D) equation with constant coefficient is considered. We change the discrete linear equations into the matrix equation. Different from the classical methods to solve the C-D equation, we solve the C-D equation with the time variable and space variable obtained at the same time. Furthermore, the convergence rate of the C-D equation by LBRICM is proved. Numerical examples are presented to test our analysis.

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来源期刊

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

期刊介绍： Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.