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A linearly implicit conservative difference scheme for the generalized Rosenau–Kawahara-RLW equation.
- Source :
-
Applied Mathematics & Computation . Nov2015, Vol. 271, p323-336. 14p. - Publication Year :
- 2015
-
Abstract
- This paper concerns the numerical study for the generalized Rosenau–Kawahara-RLW equation obtained by coupling the generalized Rosenau-RLW equation and the generalized Rosenau–Kawahara equation. We first derive the energy conservation law of the equation, and then develop a three-level linearly implicit difference scheme for solving the equation. We prove that the proposed scheme is energy-conserved, unconditionally stable and second-order accurate both in time and space variables. Finally, numerical experiments are carried out to confirm the energy conservation, the convergence rates of the scheme and effectiveness for long-time simulation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 271
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 110511633
- Full Text :
- https://doi.org/10.1016/j.amc.2015.09.021