具有主导对流的一维非平稳对流扩散问题的显式特征修正方法

IF 0.6 4区数学 Q4 MATHEMATICS, APPLIED Applications of Mathematics Pub Date : 1995-01-01 DOI:10.21136/am.1995.134300

J. Dalík, H. Růžičková

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引用次数: 3

摘要

本文描述了方程$u_t + pu_x - \varepsilon u_{xx} = f$ in $(0,1) \乘以(0,T)$具有Dirichlet边界和初始条件的数值方法，该方法是特征值法和有限差分法的结合。我们证明了高阶和稳定性的先验局部误差估计。例3.3表明我们的近似解只受到少量人工扩散的干扰。

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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An explicit modified method of characteristics for the one-dimensional nonstationary convection-diffusion problem with dominating convection

We describe a numerical method for the equation $u_t + pu_x - \varepsilon u_{xx} = f$ in $(0,1) \times (0,T)$ with Dirichlet boundary and initial conditions which is a combination of the method of characteristics and the finite-difference method. We prove both an a priori local error-estimate of a high order and stability. Example 3.3 indicates that our approximate solutions are disturbed only by a minimal amount of the artificial diffusion.

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.