Abstract: A spectral method with FFT transformation is introduced in the numerical solution of the Fokker-Planck-Landau equation in describing charged particle transport in plasma.The time evolution of the distribution function in the velocity-space is studied with a "space-homogeneous" condition.Numerical results show that conservations of mass,momentum and energy are held precisely.In addition,the computation cost is reduced considerably due to the adoption of FFT transformation.

Key words: charged particle transport, Fokker-Planck-Landau equation, spectral method, fast Fourier transformation