抛物-双曲耦合方程组的Crank-Nicolson特征差分格式

Crank-Nicolson Difference Scheme Along Characteristics for Parabolic-hyperbola System of Equations

针对抛物 -双曲耦合方程组提出了一种Crank_Nicolson类型的特征差分格式 ,证明了该格式按离散L2 模是收敛的 ,且其收敛阶为O(Δt2 +h2 ) .

It is presented that a Crank_Nicolson difference scheme along characteristics for parabolic_hyperbola system of equations.And proves that the method coverges in discrete L 2 norm to the solution of the parabolic_hyperbola system of equations with order O(Δt 2+h 2 ).