A Kind of Explicit Finite Difference Schemes with Better Stability for Advective Equations
一类计算稳定性好的显式平流差分格式

In this paper, an unconditionally stable explicit finite difference scheme for linear advective equation and a rather stable explicit scheme for quasi-linear advective equation have been constructed,respectively.The strict proofs of consistency, stability and convergence for the former scheme, together with numerical experiment for both schemes have also been presented.