Compact implicit integration factor method for the nonlinear Dirac equation
A numerical method of high accuracy is treated, for the solution of the \((1+1)\)-dimensional nonlinear Dirac (NLD) equation. The authors use a compact finite difference method (CM) with space discretization and obtain a nonlinear ordinary differential system, and then they use for the time discretization the implicit integration factor method (IIF) to this system. Mainly, they introduce CM-IIF4 of 4th-order scheme in both space and time. Numerical examples are given to confirm the accuracy of these schemes and to study the interaction dynamics of two NLD solitary waves.
scientific article; zbMATH DE number 6944818
scientific article