High-order compact difference methods for solving two-dimensional nonlinear wave equations

Nonlinear wave equations are widely used in many areas of science and engineering. This paper proposes two high-order compact (HOC) difference schemes with convergence orders of $ O\left({{\tau ^4} + h_x^4 + h_y^4} \right) $ that can be used to solve nonlinear wave equations. The first scheme is a n...

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Bibliographic Details
Main Authors: Shuaikang Wang, Yunzhi Jiang, Yongbin Ge
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2023159?viewType=HTML