@Article{NMTMA-18-650,
author = {Jiao , ZheLi , Yaxu and Zhao , Lijing},
title = {Implicit-Explicit Time Discretization Schemes for a Class of Semilinear Wave Equations with Nonautonomous Dampings},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2025},
volume = {18},
number = {3},
pages = {650--679},
abstract = {<p style="text-align: justify;">This paper is concerned about the implicit-explicit (IMEX) methods for
a class of dissipative wave systems with time-varying velocity feedbacks and nonlinear potential energies, equipped with different boundary conditions. Firstly, we
approximate the problems by using the Hochbruck-Leibold IMEX method, which is
a second-order scheme for the problems when the damping terms are time-independent. However, rigors analysis shows that the error rate declines from second to
first order due to the nonautonomous dampings. To recover the convergence order, we propose a modified IMEX scheme and apply it to the nonautonomous wave
equations with a kinetic boundary condition. Our numerical experiments demonstrate that the modified scheme can not only achieve second-order accuracy but also
improve the computational efficiency.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2024-0131},
url = {http://global-sci.org/intro/article_detail/nmtma/24322.html}
}