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

被引：26

作者：

Cen, Zhongdi ^{[1
]}

Liu, Li-Bin ^{[2
]}

Huang, Jian ^{[1
]}

机构：

[1] Zhejiang Wanli Univ, Inst Math, Ningbo 315100, Zhejiang, Peoples R China

[2] Nanning Normal Univ, Sch Math & Stat, Nanning 530023, Guangxi, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 102卷

基金：

美国国家科学基金会;

关键词：

Riemann-Liouville fractional derivative; Boundary value problem; Gronwall inequality; A posteriori error estimate; SYSTEM; MESHES;

D O I：

10.1016/j.aml.2019.106086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Riemann-Liouville two-point boundary value problem is considered. An integral discretization scheme is developed to approximate the Volterra integral equation transformed from the Rieinann-Liouville boundary value problem. The stability results and a posteriori error analysis are given. A solution-adaptive algorithm based on a posteriori error analysis is designed by equidistributing arc-length monitor function. Numerical experiments are presented to support the theoretical result. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：8

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