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

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