A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation

DOI10.1080/00207160.2021.1906420zbMath1499.65281OpenAlexW3139537624WikidataQ115314343 ScholiaQ115314343MaRDI QIDQ5063449

Yanping Chen, Li-Bin Liu

Publication date: 21 March 2022

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

Full work available at URL: https://doi.org/10.1080/00207160.2021.1906420

zbMATH Keywords

finite differencea posteriori error estimationCaputo fractional derivativeadaptive gridmonitor function

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) Finite difference and finite volume methods for ordinary differential equations (65L12)

Cites Work

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• The Green's function and a maximum principle for a Caputo two-point boundary value problem with a convection term
• A posteriori error estimation in maximum norm for a two-point boundary value problem with a Riemann-Liouville fractional derivative
• Boundary layers in a two-point boundary value problem with a Caputo fractional derivative
• Central difference approximation of convection in Caputo fractional derivative two-point boundary value problems
• Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem
• ON FRACTIONAL RELAXATION
• A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem
• A posteriori error analysis for a fractional differential equation
• Numerical methods for fractional partial differential equations
• Fractional differentiation matrices with applications
• A finite difference method for a two-point boundary value problem with a Caputo fractional derivative
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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