双曲-双曲奇异摄动混合问题的一致收敛格式

本文构造了二阶双曲-双曲奇异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.

Uniform Difference Scheme for Hyperbolic-Hyperbolic Singular Perturbation Mixed Problems

A difference scheme is established in this paper for second-order hyperbolic-hyperbolic singular perturbation mixed 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.