Obviously, the coil resistance is lower and/or inductance higher (also at longer time scales) than the simulation.
Time scales matter because real relays, solenoids, etc. typically have bulk metal parts, which the magnetic field penetrates only slowly (10s of Hz, if that). It can take quite some time for fields to equalize, and thus coil current (at turn-on) or voltage (at turn-off) to settle.
You say nothing about where your values came from, so I'm assuming they're completely arbitrary; if 2.8H and 1kohm came from a datasheet, check what frequency it was measured at; the value at 1kHz for example can be quite a lot smaller than at 10Hz (i.e. by about 10x).
(The underlying phenomena here is skin effect, which gives an impedance ~ sqrt(f), and thus inductance ~ 1/f, which is why I can be, at least ballpark confident, that a 100x change in frequency gives a 10x change in measurement.)
Tim