New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow
We develop a new efficient second-order finite difference scheme for two-dimensional problem of contaminant in groundwater flow. Theoretical analysis shows that the scheme is second-order convergence in the L2 norm and is unconditionally stable. Numerical results demonstrate that the error measures...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/575493 |
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| _version_ | 1850166489020104704 |
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| author | Quanyong Zhu Quanxiang Wang Ju Fu Zhiyue Zhang |
| author_facet | Quanyong Zhu Quanxiang Wang Ju Fu Zhiyue Zhang |
| author_sort | Quanyong Zhu |
| collection | DOAJ |
| description | We develop a new efficient second-order finite difference scheme for
two-dimensional problem of contaminant in groundwater flow. Theoretical analysis shows that
the scheme is second-order convergence in the L2 norm and is unconditionally stable. Numerical
results demonstrate that the error measures of the second-order scheme are several times smaller
than those of the standard implicit finite difference scheme. |
| format | Article |
| id | doaj-art-dad9b566e527487e9db652eb445445b6 |
| 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-dad9b566e527487e9db652eb445445b62025-08-20T02:21:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/575493575493New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater FlowQuanyong Zhu0Quanxiang Wang1Ju Fu2Zhiyue Zhang3Jiangsu Provincial Key Laboratory for Numerical Simulation of Large-Scale Complex Systems, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, ChinaJiangsu Provincial Key Laboratory for Numerical Simulation of Large-Scale Complex Systems, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, ChinaJiangsu Provincial Key Laboratory for Numerical Simulation of Large-Scale Complex Systems, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, ChinaJiangsu Provincial Key Laboratory for Numerical Simulation of Large-Scale Complex Systems, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, ChinaWe develop a new efficient second-order finite difference scheme for two-dimensional problem of contaminant in groundwater flow. Theoretical analysis shows that the scheme is second-order convergence in the L2 norm and is unconditionally stable. Numerical results demonstrate that the error measures of the second-order scheme are several times smaller than those of the standard implicit finite difference scheme.http://dx.doi.org/10.1155/2012/575493 |
| spellingShingle | Quanyong Zhu Quanxiang Wang Ju Fu Zhiyue Zhang New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow Journal of Applied Mathematics |
| title | New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow |
| title_full | New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow |
| title_fullStr | New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow |
| title_full_unstemmed | New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow |
| title_short | New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow |
| title_sort | new second order finite difference scheme for the problem of contaminant in groundwater flow |
| url | http://dx.doi.org/10.1155/2012/575493 |
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