The problem of electron cyclotron wave and fast wave current drive is studied by solving the Fokker-Planck equation in a numerical method for tokamak plasma. Effects of both bounce-averaging and relativity for electrons are considered in the process of solving. The Fokker-Planck equation is discretized by nine points difference technique, and solved by incomplete LU factorization. The results are shown that high synergetic effects are existed by combined current drive of electron cyclotron wave and fast wave, and the size of current densi...