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

作　　者：张鲁明[1] 刘奋[2] 

机构地区：[1]南京航空航天大学数学系,南京210016 [2]石油大学应用数学系,东营257061

出　　处：《应用数学学报》2002年第3期469-475,共7页Acta Mathematicae Applicatae Sinica

摘　　要：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.

关 键 词：三层差分格式 非自共轭非线性薛定锷方程 收敛性 稳定性 

分 类 号：O411.1[理学—理论物理]