Time-Compact Scheme for the One-Dimensional Dirac Equation

الملخص 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.