A posteriori error estimation in maximum norm for a two-point boundary value problem with a Riemann-Liouville fractional derivative

DOI10.1016/J.AML.2019.106086OpenAlexW2981235917WikidataQ127006209 ScholiaQ127006209MaRDI QIDQ2184897

Li-Bin Liu, Zhongdi Cen, Jian Huang

Publication date: 2 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106086

zbMATH Keywords

boundary value problema posteriori error estimateRiemann-Liouville fractional derivativeGrönwall inequality

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Cites Work

• A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection-diffusion problems
• Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems
• A generalized Gronwall inequality and its application to a fractional differential equation
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem
• Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
• Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem
• Analysis of a System of Singularly Perturbed Convection-Diffusion Equations with Strong Coupling
• Maximum norm a posteriori error estimates for a 1D singularly perturbed semilinear reaction-diffusion problem

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