A Fourth-Order Conservative Compact Finite Difference Scheme for the Generalized RLW Equation
Joint Authors
Li, Shuguang
Wang, Jue
Luo, Yuesheng
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The generalized regularized long-wave (GRLW) equation is studied by finite difference method.
A new fourth-order energy conservative compact finite difference scheme was proposed.
It is proved by the discrete energy method that the compact scheme is solvable, the convergence and stability of the difference schemes are obtained, and its numerical convergence order is O ( τ 2 + h 4 ) in the L ∞ -norm.
Further, the compact schemes are conservative.
Numerical experiment results show that the theory is accurate and the method is efficient and reliable.
American Psychological Association (APA)
Li, Shuguang& Wang, Jue& Luo, Yuesheng. 2015. A Fourth-Order Conservative Compact Finite Difference Scheme for the Generalized RLW Equation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1075195
Modern Language Association (MLA)
Li, Shuguang…[et al.]. A Fourth-Order Conservative Compact Finite Difference Scheme for the Generalized RLW Equation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1075195
American Medical Association (AMA)
Li, Shuguang& Wang, Jue& Luo, Yuesheng. A Fourth-Order Conservative Compact Finite Difference Scheme for the Generalized RLW Equation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1075195
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075195
