The spin-1 Blume-Capel model with random crystal field on the Bethe lattice

► The phase diagrams of spin-1 Blume-Capel model with random crystal field is studied. ► The model was investigated on Bethe lattice in terms of recursion relations for z=4. ► Tricritical points are seen at low crystal fields and high temperatures for high probabilities p. ► The phase diagrams change from random to non-random systems. ► The reentrant behavior is observed for appropriate p values.