Time-Compact Scheme for the One-Dimensional Dirac Equation

Joint Authors

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

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-10-16

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Cao, Jun-Jie& Li, Xiang-Gui& Qiu, Jing-Liang& Zhang, Jing-Jing. 2016. Time-Compact Scheme for the One-Dimensional Dirac Equation. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1103413

Modern Language Association (MLA)

Cao, Jun-Jie…[et al.]. Time-Compact Scheme for the One-Dimensional Dirac Equation. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1103413

American Medical Association (AMA)

Cao, Jun-Jie& Li, Xiang-Gui& Qiu, Jing-Liang& Zhang, Jing-Jing. Time-Compact Scheme for the One-Dimensional Dirac Equation. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1103413

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1103413