一类NLS方程近似解误差分析  

Error Analysis of Approximate Solution of a Class of NLS Equations

作　　者：万洲键 龚祯 牟健生 杨方林 Wan Zhoujian;Gong Zhen;Mou Jiansheng;Yang Fanglin(College of Electric Power Engineering, Nanjing Institute of Technology, Nanjing 211167, China)

机构地区：[1]南京工程学院电力工程学院,南京211167

出　　处：《黑龙江科学》2020年第24期44-45,49,共3页Heilongjiang Science

基　　金：南京工程学院电力工程学院2020年本科生科技创新基金项目(TB202004044);江苏省大创项目“一类分数阶NLS”(201911276109H)。

摘　　要：借助分数阶变分迭代思想,通过改进的Laplace变换迭代算法研究一类NLS方程,得到了该方程的各级近似解表达式。由误差分析及数值模拟将其与精确解进行比较发现,实部、虚部与模之间接近程度良好。结果表明,该方法在求解时空分数阶非线性复方程时规范有效。With the help of fractional order iterative algorithm,through improved Laplace conversion iterative algorithm research of a class of NLS equations,approximate solution expressions of all levels are got.Through the comparison of exact solution through error analysis and numerical modeling,approaching degree of real part,imaginary part and model is good.The result shows that this method is effective in solving space-time fractional order nonlinearity complex equations.

关 键 词：时空分数阶NLS方程 近似解 CAPUTO导数 Laplace变换迭代法 

分 类 号：O241.7[理学—计算数学]