A numerical investigation of nonlinear Schrödinger equation using barycentric interpolation collocation method

A numerical investigation of nonlinear Schrödinger equation using barycentric interpolation collocation method

In this paper, we will present a collocation approach based on barycentric interpolation functions and finite difference formulation to study the approximate solution of nonlinear Schrödinger equation. We discretize the time derivative by Crank-Nicolson scheme and bring barycentric interpolation fun...

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Bibliographic Details
Main Authors: Haoran Sun, Siyu Huang, Mingyang Zhou, Yilun Li, Zhifeng Weng
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
barycentric interpolation collocation
nonlinear schrödinger equation
consistency analysis
mass and energy conservation
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023017?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023017?viewType=HTML

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