@Article{AAMM-16-1549,
author = {Wang , YurunSu , Huiling and Liu , Fei},
title = {A Well-Conditioned Spectral Integration Method for High-Order Differential Equations with Variable Coefficients},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {16},
number = {6},
pages = {1549--1568},
abstract = {<p style="text-align: justify;">A well-conditioned spectral integration (SI) method is introduced, developed and applied to $n$th-order differential equations with variable coefficients and
general boundary conditions. The approach is based on integral reformulation techniques which lead to almost banded linear matrices, and the main system to be solved
is further banded by utilizing a Schur complement approach. Numerical experiments
indicate the spectral integration method can solve high order equations efficiently,
oscillatory problems accurately and is adaptable to large systems. Applications in
Korteweg-de Vries (KdV) type and Kawahara equations are carried out to illustrate
the proposed method is effective to complicated mathematical models.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2023-0225},
url = {http://global-sci.org/intro/article_detail/aamm/23478.html}
}