Conservative Difference Scheme for Generalized Rosenau-KdV Equation
A conservative Crank-Nicolson finite difference scheme for the initial-boundary value problem of generalized Rosenau-KdV equation is proposed. The difference scheme shows a discrete analogue of the main conservation law associated to the equation. On the other hand the scheme is implicit and stable...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/986098 |
| Summary: | A conservative Crank-Nicolson finite difference scheme for the initial-boundary
value problem of generalized Rosenau-KdV equation is proposed. The difference scheme
shows a discrete analogue of the main conservation law associated to the equation. On the other
hand the scheme is implicit and stable with second order convergence. Numerical experiments
verify the theoretical results. |
|---|---|
| ISSN: | 1687-9120 1687-9139 |