Residential College | false |
Status | 已發表Published |
A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations | |
Lyu, Pin; Vong, Seakweng | |
2018-06 | |
Source Publication | NUMERICAL ALGORITHMS |
ISSN | 1017-1398 |
Volume | 78Issue: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. |
Keyword | Linearized Scheme Time Fractional Differential Equations Nonlinear Klein-gordon Equations Convergence |
DOI | 10.1007/s11075-017-0385-y |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:000432534900007 |
Publisher | SPRINGER |
The Source to Article | WOS |
Scopus ID | 2-s2.0-85026796255 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Affiliation | Department of MathematicsUniversity of Macau,Macau,China |
First Author Affilication | University 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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