Richardson's Third-Order Difference Scheme for the Cauchy Problem in the Case of Transport Equation

被引：0
|
作者：
Shishkin, G. I. [1 ]
Shishkina, L. P. [1 ]
机构：
[1] Russian Acad Sci, Ural Branch, Inst Math & Mech, Ekaterinburg 620990, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2024年 / 64卷 / 10期
关键词：
transport equation; Cauchy problem; standard difference scheme; uniform grid; residual; expansion of residual; monotonicity of differential and grid problems; Richardson's technique; difference scheme; improved accuracy order; convergence in the maximum norm;
D O I：
10.1134/S0965542524701215
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Cauchy problem for the regular transport equation is considered. Using Richardson's technique, a difference scheme of improved accuracy order on three embedded grids is constructed for this problem. This scheme converges in the maximum norm with the third order of convergence rate.
引用
收藏
页码：2212 / 2221
页数：10
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