Half-implicit schemes

A mixed semi-implicit scheme based on incremental unknowns is presented for solving one-dimensional heat conduction equation, which is converted into an explicit di?erence scheme by introducing a special basis.

对于一维热传导方程,构造了一种基于增量未知元的混合半隐格式,并通过引进一组特殊的基将 其化成了显格式,然后利用矩阵方法讨论了格式的稳定性及其整体误差估计。