三阶非线性KdV方程的分组差分格式

Group Difference Scheme of a Three-order Nolinear KdV Equation

对三阶非线性KdV方程给出了一组非对称的差分公式,用这些差分公式构造了一类具有本性并行的分组差分格式,并给出了差分格式及该算法的线性绝对稳定性证明.

We present a group of asymmetric difference schemes to a three-order Korteweg-de Vries（KdV） equation, of which a group difference schemes with intrinsic parallelism are therefore constructed. We prove that these schemes are unconditionally and linearly stable.