摘要
讨论了一类带小参数的超越方程.利用摄动展开法,首先将方程的解写成按小参数的幂的待定展开式;然后将它代入原方程,合并同次幂的系数,并分别令其为零;最后便依次地得到解的幂级数的系数,从而得到了相应方程解的渐近展开式.
A class of transcendental equation with small parameter is considered. In this paper, using me perturbation expansion method, the solutions of equation are written as undetermined expansion in powers of small parameter. Then it is substituted into the original equation. The coefficients of the same power are merged and sentenced to zero respectively. The coefficients of power series for the solution are solved, successively. The asymptotic expansions of slutions for corresponding equation are obtained.
出处
《安徽师范大学学报（自然科学版）》
CAS
2007年第6期635-636,共2页
Journal of Anhui Normal University(Natural Science)
关键词
超越方程
摄动解
渐近展开式
transcendental equation
perturbed solution
asymptotic expansion
