Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations
Numerical Analysis
2018-02-22 v1
Abstract
In the present work, a kind of trigonometric collocation methods based on Lagrange basis polynomials is developed for effectively solving multi-frequency oscillatory second-order differential equations . The properties of the obtained methods are investigated. It is shown that the convergent condition of these methods is independent of , which is very crucial for solving oscillatory systems. A fourth-order scheme of the methods is presented. Numerical experiments are implemented to show the remarkable efficiency of the methods proposed in this paper.
Cite
@article{arxiv.1608.06531,
title = {Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations},
author = {Bin Wang and Xinyuan Wu and Fanwei Meng},
journal= {arXiv preprint arXiv:1608.06531},
year = {2018}
}