@Article{EAJAM-11-119,
author = {Yan , JingyeZhang , HongQian , Xu and Song , Songhe},
title = {Regularised Finite Difference Methods for the Logarithmic Klein-Gordon Equation},
journal = {East Asian Journal on Applied Mathematics},
year = {2020},
volume = {11},
number = {1},
pages = {119--142},
abstract = {<p style="text-align: justify;">Two regularised finite difference methods for the logarithmic Klein-Gordon
equation are studied. In order to deal with the origin singularity, we employ regularised
logarithmic Klein-Gordon equations with a regularisation parameter $0 &lt;&nbsp;ε&nbsp;≪ 1$. Two
finite difference methods are applied to the regularised equations. It is proven that
the methods have the second order of accuracy both in space and time. Numerical
experiments show that the solutions of the regularised equations converge to the solution
of the initial equation as $\mathcal{O}(ε)$.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.140820.250820 },
url = {http://global-sci.org/intro/article_detail/eajam/18416.html}
}