Based on an one dimensional elastic-plastic reactive hydro-dynamic code SSS-MHD, confinement effect, by strong magnetic field during compression of field-reversed configuration (FRC) plasma target by solid liner, on the alpha particle energy transport is studied numerically. Also, investigations on the alpha particles self-heating (including local and non-local) and end loss effects are carried out. In the physical model, plasma energy is divided into three parts as that of DT ions, electrons, and alpha particles. In addition, fusion reaction in thermal equilibrium is taken into account. Numerical results imply that FRC target behaves like rigid rotor during solid liner compression. The compressed strong magnetic field can well define alpha particle energy in O-point area in target center rather than in the axis area, which is helpful for an FRC plasma burning. The non-local self-heating power peak value locates at O-point, but the local self-heating power maximum is beyond O-point. The plasma temperature peak value of local self-heating is about 0.5 times greater than that of non-local self-heating. In the script-off layer (SOL), end loss effect of alpha particle energy increases with the solid liner convergence. Especially in the SOL boundary, peak alpha particle energy loss rate appears.