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基于无网格法的一维薛定谔方程的特解新算法

A Numerical Method for one-dimensional Dinger Equation using MPS Based on Meshless Method
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摘要 基于径向基函数和有限差分方法,利用无网格方法的特解新算法给出了一维薛定谔方程的数值解,同时给出了数值例子来说明这种方法良好的准确性,并取得了比较好的数值结果。 Based on the finite difference scheme and RBFs,the method of particular solution is proposed to solve one dimension dinger equation.And numerical example with good accuracy is given to validate the proposed method.
作者 李涛 姜同松
机构地区 临沂大学理学院 山东师范大学数学与科学学院
出处 《临沂师范学院学报》 2011年第6期69-73,共5页 Journal of Linyi Teachers' College
基金 国家自然科学基金(10671086) 山东省自然科学基金(ZR2010AM014)
关键词 薛定谔方程 有限差分 径向基函数 特解方法 数值解 dinger equation Finite difference RBFs Particular solution Numerical solution
分类号 O241.82 [理学—计算数学]
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参考文献15

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二级参考文献11

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临沂师范学院学报
2011年 第6期

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