Time-Compact Scheme for the One-Dimensional Dirac Equation
Based on the Lie-algebra, a new time-compact scheme is proposed to solve the one-dimensional Dirac equation. This time-compact scheme is proved to satisfy the conservation of discrete charge and is unconditionally stable. The time-compact scheme is of fourth-order accuracy in time and spectral order...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/3670139 |
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| _version_ | 1832553550185496576 |
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| author | Jun-Jie Cao Xiang-Gui Li Jing-Liang Qiu Jing-Jing Zhang |
| author_facet | Jun-Jie Cao Xiang-Gui Li Jing-Liang Qiu Jing-Jing Zhang |
| author_sort | Jun-Jie Cao |
| collection | DOAJ |
| description | Based on the Lie-algebra, a new time-compact scheme is proposed to solve the one-dimensional Dirac equation. This time-compact scheme is proved to satisfy the conservation of discrete charge and is unconditionally stable. The time-compact scheme is of fourth-order accuracy in time and spectral order accuracy in space. Numerical examples are given to test our results. |
| format | Article |
| id | doaj-art-69e6dbb552f2482cbb51ed92a7ae9ebb |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-69e6dbb552f2482cbb51ed92a7ae9ebb2025-02-03T05:53:44ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/36701393670139Time-Compact Scheme for the One-Dimensional Dirac EquationJun-Jie Cao0Xiang-Gui Li1Jing-Liang Qiu2Jing-Jing Zhang3School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, ChinaSchool of Applied Science, Beijing Information Science and Technology University, Beijing 100192, ChinaSchool of Applied Science, Beijing Information Science and Technology University, Beijing 100192, ChinaSchool of Applied Science, Beijing Information Science and Technology University, Beijing 100192, ChinaBased on the Lie-algebra, a new time-compact scheme is proposed to solve the one-dimensional Dirac equation. This time-compact scheme is proved to satisfy the conservation of discrete charge and is unconditionally stable. The time-compact scheme is of fourth-order accuracy in time and spectral order accuracy in space. Numerical examples are given to test our results.http://dx.doi.org/10.1155/2016/3670139 |
| spellingShingle | Jun-Jie Cao Xiang-Gui Li Jing-Liang Qiu Jing-Jing Zhang Time-Compact Scheme for the One-Dimensional Dirac Equation Discrete Dynamics in Nature and Society |
| title | Time-Compact Scheme for the One-Dimensional Dirac Equation |
| title_full | Time-Compact Scheme for the One-Dimensional Dirac Equation |
| title_fullStr | Time-Compact Scheme for the One-Dimensional Dirac Equation |
| title_full_unstemmed | Time-Compact Scheme for the One-Dimensional Dirac Equation |
| title_short | Time-Compact Scheme for the One-Dimensional Dirac Equation |
| title_sort | time compact scheme for the one dimensional dirac equation |
| url | http://dx.doi.org/10.1155/2016/3670139 |
| work_keys_str_mv | AT junjiecao timecompactschemefortheonedimensionaldiracequation AT xiangguili timecompactschemefortheonedimensionaldiracequation AT jingliangqiu timecompactschemefortheonedimensionaldiracequation AT jingjingzhang timecompactschemefortheonedimensionaldiracequation |