Abstract : in this paper , the authors study the initial value problems of a class of weakly nonlinear differential equation . the first and the second order approximate solutions are obtained . their accuracies are high and the more the approximate order is high , the more the accuracy is high . if the regular perturbation method is used to solve the same problems , then , when the independent variable is big , so is the error of the solution 文摘:用插值攝動法1研究一類弱非線性常微分方程的初值問題,得到了一級及二級近似解.解的精度很高,并逐級提高.如果用正則攝動法求解此類問題,則當(dāng)自變量較大時(shí),誤差很大