A Difference Method for Solving the Steklov Nonlocal Boundary Value Problem of Second Kind for the Time-Fractional Diffusion Equation

被引：7
作者：
Alikhanov, Anatoly A. [1 ]
机构：
[1] Russian Acad Sci, Inst Appl Math & Automat, Ul Shortanova 89 A, Nalchik 360000, Russia
来源：
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2017年 / 17卷 / 01期
关键词：
Time-Fractional Diffusion Equation; Nonlocal Boundary Value Problem; Difference Scheme; Stability and Convergence; VARIABLE-ORDER; STABILITY; SCHEMES; CONVERGENCE; FAMILY;
D O I：
10.1515/cmam-2016-0030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider difference schemes for the time-fractional diffusion equation with variable coefficients and nonlocal boundary conditions containing real parameters alpha, beta and gamma. 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. The obtained results are supported by the numerical calculations carried out for some test problems.
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页码：1 / 16
页数：16
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