拟线性A-C方程的显式差分解的收敛性

Convergence on Finite Difference Solution for A-C Equation

本文研究了A C方程 :zt+z =f(γΔz+ βz) 的周期初值问题的显式差分格式 ,利用有界延拓法证明了差分解的收敛性。

In this paper,the A C Equation with perivelic initial value prolblem is considered.An explicit finite difference schame is proposed.Moreover,its convergence and stability are proved by bounded extension method.Finally,the theoretical result is checked by numerical examples.