ON ONE CLASS OF FLOW SCHEMES FOR THE CONVECTION-DIFFUSION TYPE EQUATION

被引：0

作者：

Karamzin, Yu. ^{[1
]}

Kudryashova, T. ^{[1
]}

Polyakov, S. ^{[1
,2
]}

机构：

[1] RAS, KIAM, 4 Miusskaya Sq, Moscow 125047, Russia

[2] Natl Res Nucl Univ, Moscow Engn Phys Inst NRNU MEPhi, 31 Kashirskoe Shosse, Moscow 115409, Russia

来源：

MATHEMATICA MONTISNIGRI | 2018年 / 41卷

关键词：

Numerical Methods; Finite-Difference Schemes; Convection; Diffusion Equations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The object of the study was chosen finite-difference schemes for solving spatially one-dimensional equations such as convection-diffusion (CDU). These equations are used to describe many nonlinear processes in solids, liquids and gases. A new finite-difference approach to solving equations of this type is proposed in this paper. To simplify the discussion, a spatially one-dimensional version of the CDU is chosen. However, at the same time, the main features of the equation are preserved: nonmonotonicity and quasilinearity. To solve the boundary and initial-boundary value problems for KDU, flow schemes with double exponential transformation and algorithms for their implementation are proposed.

引用

页码：21 / 32

页数：12

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