Explicit Multistep Mixed Finite Element Method for RLW Equation
An explicit multistep mixed finite element method is proposed and discussed for regularized long wave (RLW) equation. The spatial direction is approximated by the mixed Galerkin method using mixed linear space finite elements, and the time direction is discretized by the explicit multistep method. T...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/768976 |
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| author | Yang Liu Hong Li Yanwei Du Jinfeng Wang |
| author_facet | Yang Liu Hong Li Yanwei Du Jinfeng Wang |
| author_sort | Yang Liu |
| collection | DOAJ |
| description | An explicit multistep mixed finite element method is proposed and discussed for regularized long wave (RLW) equation. The spatial direction is approximated by the mixed Galerkin method using mixed linear space finite elements, and the time direction is discretized by the explicit multistep method. The optimal error estimates in and norms for the scalar unknown and its flux
based on time explicit multistep method are derived. Some numerical results are given to verify our theoretical analysis and illustrate the efficiency of our method. |
| format | Article |
| id | doaj-art-feffd27b5669486ca7b6274938fc012b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-feffd27b5669486ca7b6274938fc012b2025-02-03T01:20:40ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/768976768976Explicit Multistep Mixed Finite Element Method for RLW EquationYang Liu0Hong Li1Yanwei Du2Jinfeng Wang3School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, ChinaAn explicit multistep mixed finite element method is proposed and discussed for regularized long wave (RLW) equation. The spatial direction is approximated by the mixed Galerkin method using mixed linear space finite elements, and the time direction is discretized by the explicit multistep method. The optimal error estimates in and norms for the scalar unknown and its flux based on time explicit multistep method are derived. Some numerical results are given to verify our theoretical analysis and illustrate the efficiency of our method.http://dx.doi.org/10.1155/2013/768976 |
| spellingShingle | Yang Liu Hong Li Yanwei Du Jinfeng Wang Explicit Multistep Mixed Finite Element Method for RLW Equation Abstract and Applied Analysis |
| title | Explicit Multistep Mixed Finite Element Method for RLW Equation |
| title_full | Explicit Multistep Mixed Finite Element Method for RLW Equation |
| title_fullStr | Explicit Multistep Mixed Finite Element Method for RLW Equation |
| title_full_unstemmed | Explicit Multistep Mixed Finite Element Method for RLW Equation |
| title_short | Explicit Multistep Mixed Finite Element Method for RLW Equation |
| title_sort | explicit multistep mixed finite element method for rlw equation |
| url | http://dx.doi.org/10.1155/2013/768976 |
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