Locally One-Dimensional Difference Scheme for a Fractional Tracer Transport Equation

被引：3

作者：

Ashabokov, B. A. ^{[1
]}

Beshtokova, Z. V. ^{[2
]}

Shkhanukov-Lafishev, M. Kh ^{[2
]}

机构：

[1] Russian Acad Sci, Inst Comp Sci & Problems Reg Management, Kabardino Balkar Sci Ctr, Nalchik 360051, Russia

[2] Inst Appl Math & Automat, Nalchik 360000, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2017年 / 57卷 / 09期

关键词：

differential equation; fractional derivative; stability and convergence of difference schemes; locally one-dimensional scheme; DIFFUSION EQUATION; ORDER;

D O I：

10.1134/S0965542517090044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A locally one-dimensional scheme for a fractional tracer transport equation of order is considered. An a priori estimate is obtained for the solution of the scheme, and its convergence is proved in the uniform metric.

引用

页码：1498 / 1510

页数：13

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