A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term
<p/> <p>We study the initial-boundary problem of dissipative symmetric regularized long wave equations with damping term by finite difference method. A linear three-level implicit finite difference scheme is designed. Existence and uniqueness of numerical solutions are derived. It is pro...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
|
| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2010/781750 |
| _version_ | 1818176566964781056 |
|---|---|
| author | Xu Youcai Hu Bing Hu Jinsong |
| author_facet | Xu Youcai Hu Bing Hu Jinsong |
| author_sort | Xu Youcai |
| collection | DOAJ |
| description | <p/> <p>We study the initial-boundary problem of dissipative symmetric regularized long wave equations with damping term by finite difference method. A linear three-level implicit finite difference scheme is designed. Existence and uniqueness of numerical solutions are derived. It is proved that the finite difference scheme is of second-order convergence and unconditionally stable by the discrete energy method. Numerical simulations verify that the method is accurate and efficient.</p> |
| first_indexed | 2024-12-11T20:18:14Z |
| format | Article |
| id | doaj.art-2f62ebfe1179444298061fc2e70b2345 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-11T20:18:14Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-2f62ebfe1179444298061fc2e70b23452022-12-22T00:52:08ZengSpringerOpenBoundary Value Problems1687-27621687-27702010-01-0120101781750A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping TermXu YoucaiHu BingHu Jinsong<p/> <p>We study the initial-boundary problem of dissipative symmetric regularized long wave equations with damping term by finite difference method. A linear three-level implicit finite difference scheme is designed. Existence and uniqueness of numerical solutions are derived. It is proved that the finite difference scheme is of second-order convergence and unconditionally stable by the discrete energy method. Numerical simulations verify that the method is accurate and efficient.</p>http://www.boundaryvalueproblems.com/content/2010/781750 |
| spellingShingle | Xu Youcai Hu Bing Hu Jinsong A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term Boundary Value Problems |
| title | A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term |
| title_full | A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term |
| title_fullStr | A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term |
| title_full_unstemmed | A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term |
| title_short | A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term |
| title_sort | linear difference scheme for dissipative symmetric regularized long wave equations with damping term |
| url | http://www.boundaryvalueproblems.com/content/2010/781750 |
| work_keys_str_mv | AT xuyoucai alineardifferenceschemefordissipativesymmetricregularizedlongwaveequationswithdampingterm AT hubing alineardifferenceschemefordissipativesymmetricregularizedlongwaveequationswithdampingterm AT hujinsong alineardifferenceschemefordissipativesymmetricregularizedlongwaveequationswithdampingterm AT xuyoucai lineardifferenceschemefordissipativesymmetricregularizedlongwaveequationswithdampingterm AT hubing lineardifferenceschemefordissipativesymmetricregularizedlongwaveequationswithdampingterm AT hujinsong lineardifferenceschemefordissipativesymmetricregularizedlongwaveequationswithdampingterm |