【摘要】 针对有界区域上的抛物型微分方程讨论了Crank-Nicolson块中心差分法,在非等距剖分的网格上得了近似解和解的一阶导数的L2模误差估计,重要的是提高了时间上的精度.数值试验结果与理论分析一致,说明格式具有高效的收敛性.更多还原

【Abstract】 This paper considers the Crank-Nicolson block-centered difference method for the solution of the linear parabolic differential problems in the bounded domain.The research gets the discrete L2-norm errors in both the approximate solution and its first derivatives for all nonuniform grids,with sufficiently smooth data.It is important to get higher precision in time than the block-centered finite difference method.It is the same time to have the same result in the numerical experiment and the theorem.更多还原