We developed a dynamic thermal and micromagnetic model for thermally assisted magnetic recording, which employed Landau-Lifshitz-Bloch equation for the thermo-dynamic magnetization motion. It has shown completely different switching mechanism at high temperature compared to that from the Landau-Lifshitz-Gilbert equation. This results, in part, from the assumption in the Landau-Lifshitz-Gilbert equation that the magnetization vector length is conserved at any temperature. In view of the fact that the Garanin's Landau-Lifshitz-Bloch model does not have this constraint, it can estimate the switching field and switching speed in including around Curie temperature. Since thermally assisted magnetic recording is near Curie temperature recording, Landau-Lifshitz-Bloch equation must be suitable for the model of this recording process.