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A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations
Lyu, Pin; Vong, Seakweng
2018-06
Source PublicationNUMERICAL ALGORITHMS
ISSN1017-1398
Volume78Issue:2Pages:485-511
Abstract

We consider difference schemes for nonlinear time fractional Klein-Gordon type equations in this paper. A linearized scheme is proposed to solve the problem. As a result, iterative method need not be employed. One of the main difficulties for the analysis is that certain weight averages of the approximated solutions are considered in the discretization and standard energy estimates cannot be applied directly. By introducing a new grid function, which further approximates the solution, and using ideas in some recent studies, we show that the method converges with second-order accuracy in time.

KeywordLinearized Scheme Time Fractional Differential Equations Nonlinear Klein-gordon Equations Convergence
DOI10.1007/s11075-017-0385-y
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000432534900007
PublisherSPRINGER
The Source to ArticleWOS
Scopus ID2-s2.0-85026796255
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
AffiliationDepartment of MathematicsUniversity of Macau,Macau,China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Lyu, Pin,Vong, Seakweng. A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations[J]. NUMERICAL ALGORITHMS, 2018, 78(2), 485-511.
APA Lyu, Pin., & Vong, Seakweng (2018). A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations. NUMERICAL ALGORITHMS, 78(2), 485-511.
MLA Lyu, Pin,et al."A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations".NUMERICAL ALGORITHMS 78.2(2018):485-511.
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