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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/986098 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558870530097152 |
|---|---|
| author | Yan Luo Youcai Xu Minfu Feng |
| author_facet | Yan Luo Youcai Xu Minfu Feng |
| author_sort | Yan Luo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-79fbbe0c35374126b1403078d7e2ab94 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-79fbbe0c35374126b1403078d7e2ab942025-02-03T01:31:20ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/986098986098Conservative Difference Scheme for Generalized Rosenau-KdV EquationYan Luo0Youcai Xu1Minfu Feng2School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 610054, ChinaSchool of Mathematics, Sichuan University, Chengdu 610064, ChinaSchool of Mathematics, Sichuan University, Chengdu 610064, ChinaA 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.http://dx.doi.org/10.1155/2014/986098 |
| spellingShingle | Yan Luo Youcai Xu Minfu Feng Conservative Difference Scheme for Generalized Rosenau-KdV Equation Advances in Mathematical Physics |
| title | Conservative Difference Scheme for Generalized Rosenau-KdV Equation |
| title_full | Conservative Difference Scheme for Generalized Rosenau-KdV Equation |
| title_fullStr | Conservative Difference Scheme for Generalized Rosenau-KdV Equation |
| title_full_unstemmed | Conservative Difference Scheme for Generalized Rosenau-KdV Equation |
| title_short | Conservative Difference Scheme for Generalized Rosenau-KdV Equation |
| title_sort | conservative difference scheme for generalized rosenau kdv equation |
| url | http://dx.doi.org/10.1155/2014/986098 |
| work_keys_str_mv | AT yanluo conservativedifferenceschemeforgeneralizedrosenaukdvequation AT youcaixu conservativedifferenceschemeforgeneralizedrosenaukdvequation AT minfufeng conservativedifferenceschemeforgeneralizedrosenaukdvequation |