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Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions
Zhang, Jiali1; Fang, Zhi Wei2; Sun, Hai Wei1
2022-10-01
Source PublicationApplied Mathematics and Computation
ISSN0096-3003
Volume430
Abstract

A robust fast method for mobile-immobile variable-order (VO) time-fractional diffusion equations (tFDEs) is developed, superiorly handling the cases of small or vanishing lower bound of the VO function. The fast finite difference scheme sharp decreases the storage requirement and computational complexity. Significantly, the error estimate for the proposed scheme is studied without any regularity assumptions of the true solution. Numerical experiments are tested to verify the effectiveness of the proposed method.

KeywordExponential-sum-approximation Method Fast Algorithm Variable-order Caputo Fractional Derivative
DOI10.1016/j.amc.2022.127273
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000830145200023
Scopus ID2-s2.0-85130869065
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Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorFang, Zhi Wei
Affiliation1.Department of Mathematics, University of Macau, Macao
2.School of Mathematics and Big Data, Foshan University, Foshan, China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Zhang, Jiali,Fang, Zhi Wei,Sun, Hai Wei. Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions[J]. Applied Mathematics and Computation,2022,430.
APA Zhang, Jiali,Fang, Zhi Wei,&Sun, Hai Wei.(2022).Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions.Applied Mathematics and Computation,430.
MLA Zhang, Jiali,et al."Robust fast method for variable-order time-fractional diffusion equations without regularity assumptions of the true solutions".Applied Mathematics and Computation 430(2022).
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