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

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...

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Bibliographic Details
Published inComputational mathematics and modeling Vol. 26; no. 2; pp. 252 - 272
Main Author Alikhanov, Anatoly A.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.04.2015
Subjects
Applications of Mathematics
Approximation
Boundary value problems
Computational Mathematics and Numerical Analysis
Convergence
Diffusion
Inequalities
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Optimization
Stability
stability and convergence
nonlocal boundary value condition
difference scheme
fractional-order diffusion equation
a priori estimate
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1046-283X
1573-837X
DOI:10.1007/s10598-015-9271-4