其收敛性的证明是依据其渐近扩散展开式，在边界层上得到的误差估计逼近其离散纵标方法的解。
Our proof of the convergence is based on an asymptotic diffusion expansion and requires error estimates on a matched boundary layer approximation to the solution of the discrete-ordinate method.
然后利用摄动方法证明了这个问题解的存在唯一性，同时给出了解的渐近展开和误差估计。
The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given.
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