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
收藏
页码：1498 / 1510
页数：13
相关论文
共 50 条
  • [41] Free boundary problem for a one-dimensional transport equation
    Kuttler, C
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2001, 20 (04): : 859 - 881
  • [42] A Finite-Difference Scheme for the One-Dimensional Maxwell Equations
    Mastryukov, A. F.
    NUMERICAL ANALYSIS AND APPLICATIONS, 2020, 13 (01) : 57 - 67
  • [43] A Finite-Difference Scheme for the One-Dimensional Maxwell Equations
    A. F. Mastryukov
    Numerical Analysis and Applications, 2020, 13 : 57 - 67
  • [44] Numerical solutions of one-dimensional Gelfand equation with fractional Laplacian
    Liu, Lei
    Xu, Yufeng
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2025, 63 (03) : 651 - 665
  • [45] Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
    Cheng, Jin
    Nakagawa, Junichi
    Yamamoto, Masahiro
    Yamazaki, Tomohiro
    INVERSE PROBLEMS, 2009, 25 (11)
  • [46] STABILITY OF THE TOTALLY IMPLICIT FINITE-DIFFERENCE SCHEME FOR THE ONE-DIMENSIONAL DIFFUSION EQUATION WITH A MOVING BOUNDARY
    FABBRI, M
    COMPUTING, 1990, 45 (04) : 333 - 343
  • [47] A Multilevel Finite Difference Scheme for One-Dimensional Burgers Equation Derived from the Lattice Boltzmann Method
    Li, Qiaojie
    Zheng, Zhoushun
    Wang, Shuang
    Liu, Jiankang
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [48] A NEW SEMIDISCRETIZED ORDER REDUCTION FINITE DIFFERENCE SCHEME FOR UNIFORM APPROXIMATION OF ONE-DIMENSIONAL WAVE EQUATION
    Liu, Jiankang
    Guo, Bao-Zhu
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 58 (04) : 2256 - 2287
  • [49] An efficient locally one-dimensional finite-difference time-domain method based on the conformal scheme
    Wei Xiao-Kun
    Shao Wei
    Shi Sheng-Bing
    Zhang Yong
    Wang Bing-Zhong
    CHINESE PHYSICS B, 2015, 24 (07)
  • [50] STABLE EXPLICIT DIFFERENCE APPROXIMATION OF ONE-DIMENSIONAL DIFFUSION EQUATION
    JOUBERT, GR
    COMPUTING, 1973, 11 (04) : 315 - 325
12345