@Article{JCM-39-43,
author = {Yu , XuhongJin , Lusha and Wang , Zhongqing},
title = {Efficient and Accurate Chebyshev Dual-Petrov-Galerkin Methods for Odd-Order Differential Equations},
journal = {Journal of Computational Mathematics},
year = {2020},
volume = {39},
number = {1},
pages = {43--62},
abstract = {<p style="text-align: justify;">Efficient and accurate Chebyshev dual-Petrov-Galerkin methods for solving first-order
equation, third-order equation, third-order KdV equation and fifth-order Kawahara equation are proposed. Some Sobolev bi-orthogonal basis functions are constructed which lead
to the diagonalization of discrete systems. Accordingly, both the exact solutions and the
approximate solutions are expanded as an infinite and truncated Fourier-like series, respectively. Numerical experiments illustrate the effectiveness of the suggested approaches.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1907-m2018-0285},
url = {http://global-sci.org/intro/article_detail/jcm/18277.html}
}