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, issue 1

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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https://doi.org/10.1155/2016/3670139

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnddns:v:2016:y:2016:i:1:n:3670139

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