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Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers’ equation
Zhang, Qifeng1; Sun, Cuicui1; Fang, Zhi Wei2; Sun, Hai Wei3
2022-04-01
Source PublicationApplied Mathematics and Computation
ISSN0096-3003
Volume418
Abstract

A novel implicit high-order compact difference scheme is established for the time-fractional Burgers’ equation based on a newly developed nonlinear compact operator and the reduction order technique under the uniform mesh and graded mesh. Uniqueness, boundedness, convergence in the pointwise sense and stability in L-norm of the discrete solutions are proved by the Browder fixed point theorem and energy argument. Numerical examples with the smooth solution and nonsmooth solution are provided to confirm numerical theoretical results and demonstrate the efficiency of the high-order compact difference scheme.

KeywordCompact Difference Scheme Fractional Burgers’ Equation Pointwise Error Estimate Reduction Order Method
DOI10.1016/j.amc.2021.126824
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000784441000012
Scopus ID2-s2.0-85120634967
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Citation statistics
Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorFang, Zhi Wei
Affiliation1.Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, 310018, China
2.School of Mathematics and Big Data, Foshan University, Foshan, China
3.Department of Mathematics, University of Macau, Macao
Recommended Citation
GB/T 7714
Zhang, Qifeng,Sun, Cuicui,Fang, Zhi Wei,et al. Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers’ equation[J]. Applied Mathematics and Computation,2022,418.
APA Zhang, Qifeng,Sun, Cuicui,Fang, Zhi Wei,&Sun, Hai Wei.(2022).Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers’ equation.Applied Mathematics and Computation,418.
MLA Zhang, Qifeng,et al."Pointwise error estimate and stability analysis of fourth-order compact difference scheme for time-fractional Burgers’ equation".Applied Mathematics and Computation 418(2022).
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