Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers Equation
A linear-implicit finite difference scheme is given for the initial-boundary problem of GBBM-Burgers equation, which is convergent and unconditionally stable. The unique solvability of numerical solutions is shown. A priori estimate and second-order convergence of the finite difference approximate s...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/308410 |
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| _version_ | 1850165558237986816 |
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| author | Hai-tao Che Xin-tian Pan Lu-ming Zhang Yi-ju Wang |
| author_facet | Hai-tao Che Xin-tian Pan Lu-ming Zhang Yi-ju Wang |
| author_sort | Hai-tao Che |
| collection | DOAJ |
| description | A linear-implicit finite difference scheme is given for the initial-boundary problem of GBBM-Burgers equation, which is convergent and unconditionally stable. The unique solvability of numerical solutions is shown. A priori estimate and second-order convergence of the finite difference approximate solution are discussed using energy method. Numerical results demonstrate that the scheme is efficient and accurate. |
| format | Article |
| id | doaj-art-ee089c4d2d7546d6ac5bad3869c884fa |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ee089c4d2d7546d6ac5bad3869c884fa2025-08-20T02:21:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/308410308410Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers EquationHai-tao Che0Xin-tian Pan1Lu-ming Zhang2Yi-ju Wang3School of Management Science, Qufu Normal University, Rizhao 276800, ChinaSchool of Mathematics and Information Science, Weifang University, Weifang 261061, ChinaDepartment of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaSchool of Management Science, Qufu Normal University, Rizhao 276800, ChinaA linear-implicit finite difference scheme is given for the initial-boundary problem of GBBM-Burgers equation, which is convergent and unconditionally stable. The unique solvability of numerical solutions is shown. A priori estimate and second-order convergence of the finite difference approximate solution are discussed using energy method. Numerical results demonstrate that the scheme is efficient and accurate.http://dx.doi.org/10.1155/2012/308410 |
| spellingShingle | Hai-tao Che Xin-tian Pan Lu-ming Zhang Yi-ju Wang Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers Equation Journal of Applied Mathematics |
| title | Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers Equation |
| title_full | Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers Equation |
| title_fullStr | Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers Equation |
| title_full_unstemmed | Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers Equation |
| title_short | Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers Equation |
| title_sort | numerical analysis of a linear implicit average scheme for generalized benjamin bona mahony burgers equation |
| url | http://dx.doi.org/10.1155/2012/308410 |
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