本文针对一类非饱和土壤水流问题,提出了基于二次插值的特征-差分格式,得到了严谨的L^2模误差估计.并作了数值试验,指明方法的有效性。
In this paper,a characteristic finite difference method based on quadratic interpolation for an unsaturated soil water flow problem is studied. L^2- error estimate is derived.Some numerical examples have been given to show the validity of the method.