This paper studies the predictor-corrector method composed by Adams-Bashforth formula with four-order explicit and the predictor-corrector method composed by Adams-Moulton,Hamming and Gear formulas with the same implicit.The numerical comparative test is implemented between these two methods.Thus it obtains that the calculation result of Adams-Bashforth-Hamming predictor-corrector method is more stabler than the other two methods.