【摘要】 针对一维非线性对流扩散方程,构造了特征差分的两重网络算法,并给出了误差估计和数值算例。此方法是先在粗网格上计算非线性问题,再在细网格上计算线性问题,数值算例表明,在计算精度保持不变的情况下,此算法可以极大提高非线性对流扩散问题的计算效率。更多还原

【Abstract】 A Two-grid scheme of characteristic difference solution for 1D nonlinear convection-dominated diffusion equation is constructed. The error estimates and numerical example are given. The scheme involve solving one small, nolinear problem on the coarse grid system, one linear problem on the fine grid system. The numerical example shows the new scheme is very efficiency to the nonlinear equations.更多还原