数学物理学报 ›› 2000, Vol. 20 ›› Issue (2): 240-245.
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Department of Mathematics, University of Petroleum, Dongying 257062
|Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080
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摘要:
该文对非线性Schrodinger方程提出了一种新的守恒差分格式,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,提出的差分格式在取适当的参数后,精度上好于文[7]中的格式.
关键词: NLS方程, 差分格式, 守恒, 收敛性, 稳定性.
Abstract:
Inthispaper,anewconservativefinitedifferenceschemeisproposedfornonlinearSchr¨ odingerequation,anditsconvergenceandstabilityareproved.Bymeansofnumericalcomputing,itisfollowedthatthenewdifferenceschemeisbetterthantheschemeofpaper[7]inprecision,whensuitableparameterisadopted.
Key words: NLSEquation, Differencescheme, Conservation, Convergence, Stability
中图分类号:
张鲁明 常谦顺. 非线性Schrodinger方程初边值问题的守恒数值格式[J]. 数学物理学报, 2000, 20(2): 240-245.
Zhang Luming Chang Qianshun. A Conservative Numerical Schmem for Initial and Boundary Value Problem of Nonlinear Schrodinger Equation[J]. Acta mathematica scientia,Series A, 2000, 20(2): 240-245.
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