Residential College | false |
Status | 已發表Published |
A high-order compact scheme for the nonlinear fractional Klein-Gordon equation | |
Vong S.; Wang Z. | |
2015-05-01 | |
Source Publication | Numerical Methods for Partial Differential Equations |
ISSN | 10982426 0749159X |
Volume | 31Issue:3Pages:706-722 |
Abstract | In this article, a high-order finite difference scheme for a kind of nonlinear fractional Klein-Gordon equation is derived. The time fractional derivative is described in the Caputo sense. The solvability of the difference system is discussed by the Leray-Schauder fixed point theorem, while the stability and L convergence of the finite difference scheme are proved by the energy method. Numerical examples are provided to demonstrate the theoretical results. |
Keyword | Compact Finite Difference Scheme Convergence Nonlinear Fractional Klein-gordon Equation Solvability Stability |
DOI | 10.1002/num.21912 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:000351777700006 |
Scopus ID | 2-s2.0-84988293825 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF MATHEMATICS |
Corresponding Author | Wang Z. |
Affiliation | Universidade de Macau |
First Author Affilication | University of Macau |
Corresponding Author Affilication | University of Macau |
Recommended Citation GB/T 7714 | Vong S.,Wang Z.. A high-order compact scheme for the nonlinear fractional Klein-Gordon equation[J]. Numerical Methods for Partial Differential Equations, 2015, 31(3), 706-722. |
APA | Vong S.., & Wang Z. (2015). A high-order compact scheme for the nonlinear fractional Klein-Gordon equation. Numerical Methods for Partial Differential Equations, 31(3), 706-722. |
MLA | Vong S.,et al."A high-order compact scheme for the nonlinear fractional Klein-Gordon equation".Numerical Methods for Partial Differential Equations 31.3(2015):706-722. |
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