Time-Compact Scheme for the One-Dimensional Dirac Equation

Jun-Jie Cao, Xiang-Gui Li, Jing-Liang Qiu and Jing-Jing Zhang

Discrete Dynamics in Nature and Society, 2016, vol. 2016, 1-8

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:3670139

DOI: 10.1155/2016/3670139

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