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Time-Compact Scheme for the One-Dimensional Dirac Equation

Author

Listed:
  • Jun-Jie Cao
  • Xiang-Gui Li
  • Jing-Liang Qiu
  • Jing-Jing Zhang

Abstract

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.

Suggested Citation

  • Jun-Jie Cao & Xiang-Gui Li & Jing-Liang Qiu & Jing-Jing Zhang, 2016. "Time-Compact Scheme for the One-Dimensional Dirac Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-8, October.
    • Handle: RePEc:hin:jnddns:3670139
    DOI: 10.1155/2016/3670139
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