New Grid Approach for Solution of Boundary Problems for Convection-Diffusion Equations

被引：0

作者：

Polyakov, Sergey V. ^{[1
,2
]}

Karamzin, Yuri N. ^{[1
]}

Kudryashova, Tatiana A. ^{[1
,2
]}

Podryga, Viktoriia O. ^{[1
,2
]}

机构：

[1] Keldysh Inst Appl Math, 4 Miusskaya Sq, Moscow 125047, Russia

[2] Natl Res Nucl Univ MEPhI, 31 Kashirskoe Sh, Moscow 115409, Russia

来源：

NUMERICAL ANALYSIS AND ITS APPLICATIONS (NAA 2016) | 2017年 / 10187卷

关键词：

Convection-diffusion equation (CDE); Integral transformation; Finite-difference schemes; Non-monotonic sweep procedure;

D O I：

10.1007/978-3-319-57099-0_62

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The numerical solution of boundary value problems is considered for multidimensional equations of convection-diffusion (CDE). These equations are used for many physical processes in solids, liquids and gases. A new approach to the spatial approximation for such equations is proposed. This approach is based on the integral transformation of second order differential operators. A linear version of CDE was selected to simplify analysis. For this variant, a new exponential finite difference scheme was offered, algorithms of its implementation were developed, and brief analysis of the stability and convergence was fulfilled.

引用

页码：550 / 558

页数：9

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