摘要
The nonosillatory characteristic diffeence method for the nonlinear convectiondiffusion equation in 2D is discussed in the paper. We constructed quadratic UNO and ENO interpolations based on six mesh points in 2D. Combing them with characteristic difference method, we establish the high-resolution difference schemes for the nonlinear convection-dominated diffusion problem. Because theses schemes are nonlinear inherently, we use a new method to give the strict error analyses of these schemes, solving the difficulties resulted from the nonlinearity. The numerical computation is given in the paper for the model problem.
The nonosillatory characteristic diffeence method for the nonlinear convectiondiffusion equation in 2D is discussed in the paper. We constructed quadratic UNO and ENO interpolations based on six mesh points in 2D. Combing them with characteristic difference method, we establish the high-resolution difference schemes for the nonlinear convection-dominated diffusion problem. Because theses schemes are nonlinear inherently, we use a new method to give the strict error analyses of these schemes, solving the difficulties resulted from the nonlinearity. The numerical computation is given in the paper for the model problem.
出处
《计算数学》
CSCD
北大核心
2000年第2期159-166,共8页
Mathematica Numerica Sinica
关键词
对流扩散方程
非线性
特征差分法
非振荡插值
convection-diffusion equation, characteristic difference, nonosillatory interpolations
