  In this paper, we present an explicit scheme for Ohmic dissipation with
smoothed particle magneto-hydrodynamics (SPMHD). We propose a SPH
discretization of Ohmic dissipation and solve Ohmic dissipation part of
induction equation with the supertime-stepping method (STS) which allows us to
take a longer time-step than Courant-Friedrich-Levy stability condition. Our
scheme is second-order accurate in space and first-order accurate in time. Our
numerical experiments show that optimal choice of the parameters of STS for
Ohmic dissipation of SPMHD is {\nu}sts ~ 0.01 and Nsts ~ 5.
