溶质运移模型数值分析

Numerical analysis for a solute transport model

考虑局部河域某些溶质运移数学模型。首先利用积分变换方法 ,给出在适当条件下的相应模型的解析解的求解表达式 ;然后利用通常的差分格式 ,给出数值解的求解方法 ;在此基础上 ,最后给出逼近解的计算算例。

This paper is concerned with some mathematical models of the solute transport problems in some local river flow fields. Firstly, by making use of the integral transform method, the authors get the formula of the analytic solutions for the corresponding models under some suitable conditions. Secondly, by estabishing the usual finite difference approximation scheme, the authors show the method for solving the numerical solutions. On this base, they also give examples for the computation of the approximating solutions.