A posteriori error analysis for a fractional differential equation

DOI10.1080/00207160.2016.1184263zbMath1421.65019OpenAlexW2344649509WikidataQ115314920 ScholiaQ115314920MaRDI QIDQ4976316

Anbo Le, Aimin Xu, Zhongdi Cen

Publication date: 28 July 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2016.1184263

zbMATH Keywords

finite difference schemea posteriori error estimateadaptive meshCaputo fractional derivativefractional differential equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional ordinary differential equations (34A08)

Related Items

Analysis of a finite difference scheme for a nonlinear Caputo fractional differential equation on an adaptive grid ⋮ A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation ⋮ Hölder regularity for abstract semi-linear fractional differential equations in Banach spaces ⋮ An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh ⋮ COLLOCATION BASED APPROXIMATIONS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEMS ⋮ A robust numerical method for a fractional differential equation ⋮ A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations ⋮ Numerical approximation of a time-fractional Black-Scholes equation ⋮ A-posteriori error estimations of the GJF-Petrov-Galerkin methods for fractional differential equations ⋮ A-posteriori error estimations based on postprocessing technique for two-sided fractional differential equations ⋮ Numerical solution of linear fractional weakly singular integro-differential equations with integral boundary conditions ⋮ A posteriori error estimations of the Petrov-Galerkin methods for fractional Helmholtz equations

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