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.
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收藏
页码：252 / 272
页数：20
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