@Article{EAJAM-11-4,
author = {Liu, Anning and Zhongyi, Huang},
title = {Asymptotic Analysis and a Uniformly Convergent Numerical Method for Singular Perturbation Problems},
journal = {East Asian Journal on Applied Mathematics},
year = {2021},
volume = {11},
number = {4},
pages = {755--787},
abstract = {<p style="text-align: justify;">Approximation methods for boundary problems for a fourth-order singularly
perturbed partial differential equation (PDE) are studied. Using a suitable variable
change, we reduce the problem to a second-order PDE system with coupled boundary
conditions. Taking into account asymptotic expansions of the solutions, we discrete the
resulting problem by a tailored finite point method. It is proved that the scheme converges uniformly with respect to the small parameter involved. Numerical results are
consistent with the theoretical findings.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.291220.120421},
url = {https://global-sci.com/article/82536/asymptotic-analysis-and-a-uniformly-convergent-numerical-method-for-singular-perturbation-problems}
}