Boundary conditions for the subdiffusion equation

被引：7
|
作者：
Shkilev, V. P. [1 ]
机构：
[1] Natl Acad Sci Ukraine, Inst Surface Chem, UA-03164 Kiev, Ukraine
来源：
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS | 2013年 / 116卷 / 04期
关键词：
ANOMALOUS TRANSPORT; DIFFUSION;
D O I：
10.1134/S106377611304016X
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The boundary conditions for the subdiffusion equations are formulated using the continuous-time random walk model, as well as several versions of the random walk model on an irregular lattice. It is shown that the boundary conditions for the same equation in different models have different forms, and this difference considerably affects the solutions of this equation.
引用
收藏
页码：703 / 710
页数：8
相关论文
共 50 条
  • [31] Transport Equation for Subdiffusion of Mixed Origin
    V. P. Shkilev
    Journal of Experimental and Theoretical Physics, 2021, 133 : 88 - 97
  • [32] A novel spectral method for the subdiffusion equation
    Xu, Chuanju
    Zeng, Wei
    arXiv, 2022,
  • [33] On determining the fractional exponent of the subdiffusion equation
    Alimov, Shavkat
    Ashurov, Ravshan
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2025,
  • [34] The null boundary controllability for the Mullins equation with periodic boundary conditions
    Oner, Isil
    INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA, 2023, 13 (01): : 116 - 122
  • [35] BOUNDARY NULL CONTROLLABILITY FOR THE HEAT EQUATION WITH DYNAMIC BOUNDARY CONDITIONS
    Chorfi, Salah-Eddine
    EL Guermai, Ghita
    Khoutaibi, Abdelaziz
    Maniar, Lahcen
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2023, 12 (02): : 542 - 566
  • [36] EFFECTIVE BOUNDARY-CONDITIONS FOR THE LAPLACE EQUATION WITH A ROUGH BOUNDARY
    SARKAR, K
    PROSPERETTI, A
    PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1995, 451 (1942): : 425 - 452
  • [37] BOUNDARY REGULARITY FOR A DEGENERATE ELLIPTIC EQUATION WITH MIXED BOUNDARY CONDITIONS
    Niang, Alassane
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, 18 (01) : 107 - 128
  • [38] A QSC method for fractional subdiffusion equations with fractional boundary conditions and its application in parameters identification
    Liu, Jun
    Fu, Hongfei
    Zhang, Jiansong
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2020, 174 : 153 - 174
  • [39] Compact difference method for solving the fractional reaction-subdiffusion equation with Neumann boundary value condition
    Cao, Jianxiong
    Li, Changpin
    Chen, YangQuan
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (01) : 167 - 180
  • [40] The Burgers equation with periodic boundary conditions on an interval
    Samokhin, A. V.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2016, 188 (03) : 1371 - 1376
12345