Non-polynomial Spline Method for Time-fractional Nonlinear Schrödinger Equation

机译：分数阶非线性薛定ö方程的非多项式样条方法

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In this paper, we propose a quintic non-polynomial spline approach coupled with L1 formula for the numerical treatment of time-fractional nonlinear Schrödinger equation. The unconditional stability is proved by Fourier method for ...

机译：在本文中，我们提出了一种结合L1公式的五次非多项式样条方法，用于时分非线性Schrödinger方程的数值处理。用傅立叶方法证明了无条件稳定性。

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《International Conference on Control, Automation, Robotics Vision》|2018年|913-918|共6页
会议地点 Singapore(SG)
作者
Qinxu Ding; Patricia J. Y. Wong;
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School of Electrical and Electronic Engineering Nanyang Technological University 50 Nanyang Avenue Singapore 639798 Singapore;

School of Electrical and Electronic Engineering Nanyang Technological University 50 Nanyang Avenue Singapore 639798 Sin;

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Mathematical model; Splines (mathematics); Stability analysis; Numerical models; Finite wordlength effects; Numerical stability; Physics;

机译：数学模型;花键（数学）；稳定性分析；数值模型；有限的字长效果；数值稳定性；物理;

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1. Non-polynomial spline method for the time-fractional nonlinear Schr??dinger equation [J] . Mingzhu Li, Xiaohua Ding, Qiang Xu Advances in Difference Equations . 2018,第1期

机译：分数阶非线性Schr ?? dinger方程的非多项式样条方法
2. Quintic non-polynomial spline for time-fractional nonlinear Schr?dinger equation [J] . Ding Qinxu, Wong Patricia J. Y. Advances in Difference Equations . 2020,第a期

机译：Quid-Fractional非线性Schr的五通非多项式花键？Dinger方程
3. Split-step orthogonal spline collocation methods for nonlinear Schr?dinger equations in one, two, and three dimensions [J] . Wang S., Zhang L. Applied mathematics and computation . 2011,第5期

机译：一维，二维和三维非线性Schr？dinger方程的分步正交样条搭配方法
4. Split-step modified cubic B-splines collocation methods for nonlinear Schr?dinger equations with Dirichlet boundary conditions [C] . Shanshan Wang International Conference of Numerical Analysis and Applied Mathematics . 2019

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5. Studies on instability of solitary waves for nonlinear Schr?dinger equations [D] . 深谷　法良 2019

机译：非线性薛定er方程孤波不稳定性的研究
6. Colloquium PaperNonlinear partial differential equations and applications: On the global Cauchy problem for the nonlinear Schrödinger equation [O] . Jean Bourgain 2007

机译：非线性偏微分方程及其应用：关于非线性的整体柯西问题薛定er方程
7. Quintic non-polynomial spline for time-fractional nonlinear Schrödinger equation [O] . Qinxu Ding, Patricia J. Y. Wong 2020

机译：用于时间分形非线性非线性薛定液方程的五通非多项式样条

Non-polynomial Spline Method for Time-fractional Nonlinear Schrödinger Equation

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