给出了解非线性对流扩散方程的线性修正的特征差分格式及交替方向格式。
Linear modified characteristic finite difference and alternating direction schemes are devised for nonlinear convection diffusion problems.
第四章里，对二维非线性对流扩散方程，构造了特征有限元的两重网格算法，并给出了相应的收敛性分析，数值例子。
In chapter 4, for 2d nonlinear convection-dominated diffusion equation, a two-grid scheme of characteristic finite-element solution is constructed.
对于非线性对流占优扩散方程，不仅可以消除因对流占优项引起的数值振荡现象，还可以加快收敛速度、提高计算效率。
For the nonlinear convection-dominated diffusion equation, this method can not only stabilize the numerical oscillation but also accelerate the convergence and improve the computational efficiency.
确定了本文数值模拟所采用的网格的生成技术，对流扩散项的离散格式，压力修正与速度修正方法，以及非线性代数方程组的求解方法。
The grid generation technique, difference scheme of convective and diffusive terms, pressure and velocity correction methods and arithmetic of nonlinear equations are determined.
建立了含有外力的分数阶非线性对流-扩散方程。
Fractional nonlinear convection-diffusion equation with external forces is given.
对于非线性对流占优扩散方程，不仅可以消除因对流占优项引起的数值振荡现象，更重要的是可以加快收敛速度、提高计算效率。
For the nonlinear convection-dominated diffusion equation, the method can stabilize the numerical oscillation, accelerate the convergence and improve the computational efficiency.
对流一扩散方程中扩散系数反演问题，可以归结为一个特殊的非线性算子方程求解问题。
The problem of determining the diffusive coefficients can be formulated as one of solving a special nonlinear operator equation.
这类具有对流项的非线性扩散方程，类似于著名的统计力学方程，具有重要的物理意义。
This class of nonlinear diffusion equation with convection term resemble to the celebrated equation arising in statistical mechanics and have important physical sense.
这类具有对流项的非线性扩散方程，类似于著名的统计力学方程，具有重要的物理意义。
This class of nonlinear diffusion equation with convection term resemble to the celebrated equation arising in statistical mechanics and have important physical sense.
应用推荐