双曲型双边值问题差分逼近G.K.S.稳定的收敛速率

The Convergent Rate for the G. K. S. Stable Hyperbolic Difference Approximation to the Mixed Initial Double Boundaries Value Probloms

本文是单边值问题G.K.S。稳定收敛速率的推广,由双曲型偏微分方程混合双边值问题差分逼近的相容性,G.K.S.稳定的定义及各内点、边界点差分逼近精度及初值精度求出差分逼近总体误差的精度。

The convergent rate for the G. K. S. stable hyperbolic difference approximation to the mixed initial double boundaries value problems were presented. If the approximation at the boundary and initial condition has one order lower accurscy than at inner point, then the overal accuracy of the solution is kept at the higher order.