The Order of Convergence of Difference Schemes for Fractional Equations

DOI10.1080/01630563.2017.1297825zbMath1379.65072OpenAlexW2610271356MaRDI QIDQ5357027

Miao Li, Ru Liu, Serguei Piskarev

Publication date: 13 September 2017

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2017.1297825

zbMATH Keywords

method of linessemidiscretizationfinite difference methodsimplicit schemeexplicit schemediscretization methodsfractional Cauchy problemconvrgence\(\alpha\)-times resolution familyabstract initial value problems

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Fractional partial differential equations (35R11)

Related Items (4)

Discrete almost maximal regularity and stability for fractional differential equations in \(L^p([0, 1, \Omega)\)] ⋮ Maximal regularity for fractional Cauchy equation in Hölder space and its approximation ⋮ Approximations of stable manifolds in the vicinity of hyperbolic equilibrium points for fractional differential equations ⋮ Well-Posedness and Approximation for Nonhomogeneous Fractional Differential Equations

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