Work

Regularized finite difference methods for the logarithmic Klein-Gordon equation

Year: 2020

Type: preprint

Abstract: We propose and analyze two regularized finite difference methods for the logarithmic Klein-Gordon equation (LogKGE). Due to the blowup phenomena caused by the logarithmic nonlinearity of the LogKGE, it is difficult to construct numerical schemes and establish their error bounds. In order to avoid singularity, we present a regularized logarithmic Klein-Gordon equation (RLogKGE) with a small regularized parameter $0

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2006.08079

Authors: Yan, Jingye, Zhang, Hong, Qian, Xu, Song, Songhe

Language: English

Topic: Differential Equations and Numerical Methods

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3034892263

Cites: 24

Cited by: 1

Related to: 10