【摘要】 本文对非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程提出了一种新的带参数的守恒差分格式，并证明了该格式的收敛性与稳定性，通过数值计算获得如下结论，本文提出的差分格式在取适当的参数后，精度上比Ｚｈａｎｇ Ｆｅｉ等人（１９９５）的格式有较大幅度的提高．更多还原

【Abstract】 A new conservative finite difference scheme is proposed for nonlinear Schrdinger equation,and its convergence and stability are proved.By means of numerical computing,it is followed that the new difference scheme is much better than the scheme of the paper of Zhang Fei et al.in precision,when suitable parameter is adopted.更多还原