Explicit exponential algorithms for two-dimensional charged-particle dynamics with non-homogeneous electromagnetic fields

In this letter, we propose and study explicit exponential algorithms for two-dimensional charged-particle dynamics (CPD) with non-homogeneous electromagnetic fields. After reformulation the considered system, exponential methods are employed to get three practical algorithms for CPD. The convergence of those obtained algorithms is established and proved. A numerical test is provided and the numerical results demonstrate the excellent behavior of the derived algorithms and support the convergence result.