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

共 50 条

[1] Locally one-dimensional difference scheme for a fractional tracer transport equation
B. A. Ashabokov
Z. V. Beshtokova
M. Kh. Shkhanukov-Lafishev
Computational Mathematics and Mathematical Physics, 2017, 57 : 1498 - 1510
[2] Locally One-Dimensional Difference Schemes for the Fractional Order Diffusion Equation
Lafisheva, M. M.
Shkhanukov-Lafishev, M. Kh.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2008, 48 (10) : 1875 - 1884
[3] Locally one-dimensional difference schemes for the fractional order diffusion equation
M. M. Lafisheva
M. Kh. Shkhanukov-Lafishev
Computational Mathematics and Mathematical Physics, 2008, 48 : 1875 - 1884
[4] LOCALLY ONE-DIMENSIONAL DIFFERENCE SCHEME FOR A PSEUDOPARABOLIC EQUATION WITH NONLOCAL CONDITIONS
Jachimaviciene, Justina
Sapagovas, Mifodijus
LITHUANIAN MATHEMATICAL JOURNAL, 2012, 52 (01) : 53 - 61
[5] Locally one-dimensional difference scheme for a pseudoparabolic equation with nonlocal conditions
Justina Jachimavičienė
Mifodijus Sapagovas
Lithuanian Mathematical Journal, 2012, 52 : 53 - 61
[6] LOCALLY ONE-DIMENSIONAL DIFFERENCE SCHEMES FOR THE FRACTIONAL DIFFUSION EQUATION WITH A FRACTIONAL DERIVATIVE IN LOWEST TERMS
Bazzaev, A. K.
Tsopanov, I. D.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2015, 12 : 80 - 91
[7] VARIATIONAL DIFFERENCE SCHEME FOR ONE-DIMENSIONAL DIFFUSION EQUATION
FEDOROVA, OA
MATHEMATICAL NOTES, 1975, 17 (5-6) : 537 - 540
[8] Locally One-Dimensional Difference Scheme for a Nonlocal Boundary Value Problem for a Parabolic Equation in a Multidimensional Domain
Beshtokova, Z. V.
DIFFERENTIAL EQUATIONS, 2020, 56 (03) : 354 - 368
[9] Locally One-Dimensional Difference Scheme for a Nonlocal Boundary Value Problem for a Parabolic Equation in a Multidimensional Domain
Z. V. Beshtokova
Differential Equations, 2020, 56 : 354 - 368
[10] A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale
Dai, WH
Nassar, R
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 132 (02) : 431 - 441

← 1 2 3 4 5 →