@Article{EAJAM-13-2,
author = {Meng, Liujun and Zhang, Xuelin and Wang, Hanquan},
title = {A Chebyshev Polynomial Neural Network Solver for Boundary Value Problems of Elliptic Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2023},
volume = {13},
number = {2},
pages = {230--245},
abstract = {<p style="text-align: justify;">A Chebyshev polynomial neural network for solving boundary value problems
for one- and two-dimensional partial differential equations is constructed. In particular,
the input parameters are expanded by Chebyshev polynomials and fed into the network.
A loss function is constructed, and approximate solutions are determined by minimizing
the loss function. Elliptic equations are used to test a Chebyshev polynomial neural
network solver. The numerical examples illustrate the high accuracy of the method.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2022-064.210722},
url = {https://global-sci.com/article/82417/a-chebyshev-polynomial-neural-network-solver-for-boundary-value-problems-of-elliptic-equations}
}