Stability and Convergence of Difference Schemes Approximating a Two-Parameter Nonlocal Boundary Value Problem for Time-Fractional Diffusion Equation

被引：10

作者：

Alikhanov A.A. ^{[1
]}

机构：

[1] Kabardino-Balkarian State University, ul. Chernyshevskogo 173, Nalchik

来源：

Computational Mathematics and Modeling | 2015年 / 26卷 / 2期

基金：

俄罗斯基础研究基金会;

关键词：

a priori estimate; difference scheme; fractional-order diffusion equation; nonlocal boundary value condition; stability and convergence;

D O I：

10.1007/s10598-015-9271-4

中图分类号：

学科分类号：

摘要：

Difference schemes for the time-fractional diffusion equation with variable coefficients and nonlocal boundary conditions containing real parameters α and β are considered. By the method of energy inequalities, for the solution of the difference problem, we obtain a priori estimates, which imply the stability and convergence of these difference schemes. © 2015, Springer Science+Business Media New York.

引用

页码：252 / 272

页数：20

共 50 条

[11] Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions
Ismailov, Mansur I.
Cicek, Muhammed
APPLIED MATHEMATICAL MODELLING, 2016, 40 (7-8) : 4891 - 4899
[12] Stability and convergence of difference schemes for the multi-term time-fractional diffusion equation with generalized memory kernels
Khibiev, A. K.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2019, 23 (03): : 582 - 597
[13] Inverse source problem for two-term time-fractional diffusion equation with nonlocal boundary conditions
Derbissaly, Bauyrzhan
Kirane, Mokhtar
Sadybekov, Makhmud
CHAOS SOLITONS & FRACTALS, 2024, 183
[14] Compact finite difference schemes for the time fractional diffusion equation with nonlocal boundary conditions
Mingrong Cui
Computational and Applied Mathematics, 2018, 37 : 3906 - 3926
[15] Compact finite difference schemes for the time fractional diffusion equation with nonlocal boundary conditions
Cui, Mingrong
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (03): : 3906 - 3926
[16] Initial-boundary value problem for the time-fractional degenerate diffusion equation
Smadiyeva, A. G.
JOURNAL OF MATHEMATICS MECHANICS AND COMPUTER SCIENCE, 2022, 113 (01): : 33 - 42
[17] Boundary value problem for the time-fractional wave equation
Kosmakova, M. T.
Khamzeyeva, A. N.
Kasymova, L. Zh.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2024, 114 (02): : 124 - 134
[18] On the convergence of difference schemes for one nonlocal boundary-value problem
Berikelashvili, Givi
Khomeriki, Nodar
LITHUANIAN MATHEMATICAL JOURNAL, 2012, 52 (04) : 353 - 362
[19] On the convergence of difference schemes for one nonlocal boundary-value problem
Givi Berikelashvili
Nodar Khomeriki
Lithuanian Mathematical Journal, 2012, 52 : 353 - 362
[20] Convergence analysis of compact difference schemes for diffusion equation with nonlocal boundary conditions
Cui, Ming Rong
APPLIED MATHEMATICS AND COMPUTATION, 2015, 260 : 227 - 241

← 1 2 3 4 5 →