the implicit differencing scheme of nine points for solving the parabolic equations 解抛物型方程的九点隐格式
the semi-explicit differencing scheme of seven points for solving the parabolic equations 解抛物型方程的七点半显差分格式
using the approximation form of lumped mass matrix instead of the mass matrix in finite element discretization in space, backward differencing scheme in time, an implicit computational scheme is yielded, it proved the convergence estimate for this implicit scheme 对有限元离散中引起较大误差的质量矩阵,采用了近似形式的集总质量矩阵来代替,时间项采用向后差分,得到了一个隐式的计算格式,证明了计算格式的收敛性及其收敛速度估计。
the discretization process is deduced in detail, and the final iteration formula is given . in the discretization equations, higher order upwind differencing scheme is introduced into the calculation of the convection flux, whereas as for diffusion term, a central differencing scheme is taken into account 文中就具体离散过程进行了推导,给出了最终的迭代公式,其中,对微分方程的离散采用显式格式、对流项采用高阶迎风差分格式、扩散项应用中心差分格式。
the discretization process is deduced in detail, and the final iteration formula is given . in the discretization equations, higher order upwind differencing scheme is introduced into the calculation of the convection flux, whereas as for diffusion term, a central differencing scheme is taken into account 文中就具体离散过程进行了推导,给出了最终的迭代公式,其中,对微分方程的离散采用显式格式、对流项采用高阶迎风差分格式、扩散项应用中心差分格式。