UM
An efficient numerical method for q-fractional differential equations
Lyu,Pin1; Vong,Seakweng2
2020-05-01
Source PublicationApplied Mathematics Letters
ISSN0893-9659
Volume103
AbstractIn this work, we propose and analyze an efficient numerical method for solving nonlinear Caputo q-fractional differential equations with non-smooth solutions. The numerical method is a linearized one and can be implemented on the graded mesh. For equations with fractional derivatives of order α∈(1,2), the method converges with second-order on uniform mesh. For α∈(0,1), second-order convergence can be obtained when the grading parameter of the nonuniform mesh is set appropriately.
KeywordCaputo q-fractional derivative Fractional nonlinear equation Nonuniform mesh
DOI10.1016/j.aml.2019.106156
URLView the original
Language英語English
Scopus ID2-s2.0-85076713949
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Cited Times [WOS]:4   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorVong,Seakweng
Affiliation1.School of Economic Mathematics,Southwestern University of Finance and Economics,Chengdu,China
2.Department of Mathematics,University of Macau,Macao,Macao
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Lyu,Pin,Vong,Seakweng. An efficient numerical method for q-fractional differential equations[J]. Applied Mathematics Letters,2020,103.
APA Lyu,Pin,&Vong,Seakweng.(2020).An efficient numerical method for q-fractional differential equations.Applied Mathematics Letters,103.
MLA Lyu,Pin,et al."An efficient numerical method for q-fractional differential equations".Applied Mathematics Letters 103(2020).
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