摘要
利用二阶微商的四阶精度紧致差分逼近公式 ,给出解Schr dinger方程的精度为O((1 - 2θ)τ +τ2 +h4 )的一个新的加权差分格式 ,当 1 / 2≤θ≤ 1时格式绝对稳定 .特别地 ,当θ =1 / 2时 ,文章所给出的差分格式可高达四阶精度 ,数值结果与理论分析相一致 .
Based on compact differencing of fourth order accuracy for second order derivatives,a simple weighted compact finite difference scheme with truncation error O ((1-2θ)τ+τ 2+h 4 )for equation of Schrdinger type is established. The present method is unconditionally stable if 1/2≤θ≤1.Especially, when θ=1/2, fourth order accuracy can be obtained by the finite difference scheme given in the paper. Numerical results are consistent with theoretical analysis.
出处
《泉州师范学院学报》
2003年第4期6-8,12,共4页
Journal of Quanzhou Normal University
