解抛物型方程组合差商法

Combinatorial Difference Quotient Method for Solving Parabolic Equations

作者用组合差商的方法对一维抛物型方程构造了两个半显格式前者是恒稳定的,格式的截断误差可达到O(τ+h3);后一种格式的截断误差可提高到O(τ2+h3),稳定性条件是0<r<1.17。

Two semi-explicit difference schemes for solving parabolic equations of one-dimensions is presented in this paper. The former truncation error is O(τ+h3) and the scheme is absolutely stable. The later truncation error is O(τ2+h3)and the stability condition is 0<r<1.17.