Korteweg-de Vries方程的 Legendre 时空谱配置方法

数学季刊

• • 下一篇

Korteweg-de Vries方程的 Legendre 时空谱配置方法

School of Mathematics and Statistics, Henan University of Science and Technology, Luyang 471000,
China

收稿日期:2022-04-20 出版日期:2023-04-12 发布日期:2023-04-12
通讯作者: WANG Chuan (1995-), male, native of Shangqiu, Henan, postgraduate student of Henan University of Science and Technology, engages in numerical solutions of partial equations; E-mail: c wang2022@163.com
作者简介:WANG Chuan (1995-), male, native of Shangqiu, Henan, postgraduate student of Henan University of Science and Technology, engages in numerical solutions of partial equations; QIAO Yan (2000-), female, native of Zhumadian, Henan, undergraduate student of Henan University of Science and Technology.
基金资助:
Supported by National Natural Science Foundation of China (Grant Nos. 11771299,
11371123) and Natural Science Foundation of Henan Province (Grant No. 202300410156).

Space-Time Legendre Spectral Collocation Methods for Korteweg-de Vries Equation

School of Mathematics and Statistics, Henan University of Science and Technology, Luyang 471000,
China

Received:2022-04-20 Online:2023-04-12 Published:2023-04-12
Contact: WANG Chuan (1995-), male, native of Shangqiu, Henan, postgraduate student of Henan University of Science and Technology, engages in numerical solutions of partial equations; E-mail: c wang2022@163.com
About author:WANG Chuan (1995-), male, native of Shangqiu, Henan, postgraduate student of Henan University of Science and Technology, engages in numerical solutions of partial equations; QIAO Yan (2000-), female, native of Zhumadian, Henan, undergraduate student of Henan University of Science and Technology.
Supported by:
Supported by National Natural Science Foundation of China (Grant Nos. 11771299,
11371123) and Natural Science Foundation of Henan Province (Grant No. 202300410156).

摘要/Abstract

摘要： A Legendre-Legendre spectral collocation scheme is constructed for Korteweg-
de Vries (KdV) equation on bounded domain by using the Legendre collocation method
in both time and space, which is a nonlinear matrix equation that is changed to a
nonlinear systems and can be solved by the usual fixed point iteration. Numerical results
demonstrate the efficiency of the method and spectral accuracy.

关键词: Korteweg-de Vries equation, Space-time Legendre spectral collocation
method, Initial-boundary value problem

Abstract: A Legendre-Legendre spectral collocation scheme is constructed for Korteweg-
de Vries (KdV) equation on bounded domain by using the Legendre collocation method
in both time and space, which is a nonlinear matrix equation that is changed to a
nonlinear systems and can be solved by the usual fixed point iteration. Numerical results
demonstrate the efficiency of the method and spectral accuracy.

Key words: Korteweg-de Vries equation, Space-time Legendre spectral collocation
method, Initial-boundary value problem

中图分类号:

O175.2

王川, 乔炎. Korteweg-de Vries方程的 Legendre 时空谱配置方法[J]. 数学季刊.

WANG Chuan, QIAO Yan. Space-Time Legendre Spectral Collocation Methods for Korteweg-de Vries Equation[J]. Chinese Quarterly Journal of Mathematics.

Korteweg-de Vries方程的 Legendre 时空谱配置方法

Space-Time Legendre Spectral Collocation Methods for Korteweg-de Vries Equation

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 0

编辑推荐

Metrics

本文评价