一类非自共轭非线性Schrdinger方程的三层差分格式

A FINITE DIFFERENCE SCHEME OF THREE LEVEL FOR A CLASS OF NON-SELF-ADJOINT AND NONLINEAR SCHRDINGER EQUATION

本文对一类非自共轭非线性Schr(?)dinger方程提出了一种三层差分格式,井证明了该格式的收敛性与稳定性.这种格式不需叠代,故计算速度比C-N格式快,数值计算结果表明,该格式是有效的和可靠的.

In this paper, a finite difference scheme of three levels for a class of non-self-ajoint and nonlinear Schrodinger equation was considered. Convergence and stability of difference solution were proved. The scheme needn't iterate, thus, requires less CPU time than C-N scheme. Numerical experiment results demonstrate that the method is efficient and reliable.