The performance of a superconducting linear accelerator (SLA) system for pellet injection in fuel nuclear fusion reactors was investigated numerically. To this end, a numerical code using the finite element method was developed to analyze the shielding current density and dynamic motion of the high-temperature superconducting thin film of the SLA system. The computational results showed that applying an exponential current to the electromagnet, significantly improved the acceleration performance. It was concluded that SLA systems of the order of several hundred meters, and with realistic acceleration distances using the proposed currents can be designed.