双曲-抛物型偏微分方程奇摄动混合问题的数值解法

Numerical solution to a hypebolic-parabolic partial differential equation with singulap perturbation and mixed boundary condition

构造了二阶双曲 -抛物型方程奇摄动混合问题的差分格式 ,给出了差分解的能量不等式 ,并证明了差分解在离散范数下关于小参数一致收敛于摄动问题的解 .

A difference scheme is established in this paper for second-order hyperbolic-parabolic singular perturbation mixed boundary problems. We give an energy inequality of the numerical solution and prove that the numerical solution converges to the solution of the singular perturbation problems uniformly with respect to a small parameter and in the sense of a discrete norm.