High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems
This paper is concerned with accurate and efficient numerical methods for solving viscous and nonviscous wave problems. The paper first introduces a new second-order PR-ADI like scheme. For an efficient simulation, the scheme is also extended to a high-order compact PRADI like method. Both of them h...
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| Format: | Article |
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Hindawi Limited
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/267106 |
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doaj-df906246e57240788d5ac66eeacb223d2020-11-25T00:02:48ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/267106267106High Efficient Numerical Methods for Viscous and Nonviscous Wave ProblemsXiujie Lv0Jinggang Qin1Tongke Wang2Center for Combinatorics, Nankai University, Tianjin 300071, ChinaInstitute of Plasma Physics, Chinese Academy of Sciences, Hefei, Anhui Province 230031, ChinaSchool of Mathematical Sciences, Tianjin Normal University, Tianjin 300387, ChinaThis paper is concerned with accurate and efficient numerical methods for solving viscous and nonviscous wave problems. The paper first introduces a new second-order PR-ADI like scheme. For an efficient simulation, the scheme is also extended to a high-order compact PRADI like method. Both of them have the advantages of unconditional stability, less impact of the perturbing terms on the accuracy, and being convenient to compute the boundary values of the intermediates. Besides this, the compact scheme has high-order accuracy and costs less in computational time. Numerical results are presented to show the accuracy and efficiency of the new algorithms.http://dx.doi.org/10.1155/2013/267106 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Xiujie Lv Jinggang Qin Tongke Wang |
| spellingShingle |
Xiujie Lv Jinggang Qin Tongke Wang High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems Journal of Applied Mathematics |
| author_facet |
Xiujie Lv Jinggang Qin Tongke Wang |
| author_sort |
Xiujie Lv |
| title |
High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems |
| title_short |
High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems |
| title_full |
High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems |
| title_fullStr |
High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems |
| title_full_unstemmed |
High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems |
| title_sort |
high efficient numerical methods for viscous and nonviscous wave problems |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2013-01-01 |
| description |
This paper is concerned with accurate and efficient numerical methods for solving viscous
and nonviscous wave problems. The paper first introduces a new second-order PR-ADI like
scheme. For an efficient simulation, the scheme is also extended to a high-order compact PRADI
like method. Both of them have the advantages of unconditional stability, less impact of
the perturbing terms on the accuracy, and being convenient to compute the boundary values
of the intermediates. Besides this, the compact scheme has high-order accuracy and costs less
in computational time. Numerical results are presented to show the accuracy and efficiency of
the new algorithms. |
| url |
http://dx.doi.org/10.1155/2013/267106 |
| work_keys_str_mv |
AT xiujielv highefficientnumericalmethodsforviscousandnonviscouswaveproblems AT jinggangqin highefficientnumericalmethodsforviscousandnonviscouswaveproblems AT tongkewang highefficientnumericalmethodsforviscousandnonviscouswaveproblems |
| _version_ |
1725436463486599168 |