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五、隐式差分方程的叠代解法 用隐式差分格式解地下水非稳定流问题时,每个时段都要解代数方程组。当含水层导水系数不随水位变化,或变化小到可以忽略不计时,方程是线性的。线性代数方程组的解法虽很多,但都可以归结为两类:直接解法及叠代解法。传统的直接解法工作量随结点数的增多而上升得很快,所以只适用于规模较小的问题。叠代方法也有很多种,对规则网格来说现在有
Fifth, the iterative solution of implicit difference equations Implicit difference solution of unsteady groundwater flow problems, each period must be solved algebraic equations. The equation is linear when the aquifer transmissivity does not vary with the water level, or when the change is small enough to be negligible. Although there are many solutions to linear algebraic equations, they all fall into two categories: direct solution and iterative solution. Traditional direct solution workload increases rapidly with the number of nodes, so it applies only to smaller problems. There are many ways to iterate, now for regular grids