2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169779A one-dimensional Klein-Gordon problem, which is a physical model for a quantum particle submitted to a potential barrier, is studied numerically : using a variational formulation and a Newmark numerical method, we compute the mean position and standard deviation of the particle as well as their time evolution.Analysis of PDEs35A15, 65M06, 65M12, 81Q05, 81Q10text