A High Accuracy Local One-Dimensional Explicit Compact Scheme for the 2D Acoustic Wave Equation. (26th May 2022)

• Record Type: Journal Article
• Authors: Wu, Mengling; Jiang, Yunzhi; Ge, Yongbin
• Other Names: Giorgio Ivan Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2022(2022)
• Publication Date: 2022-05-26
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2022/9743699
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : In this paper, we develop a highly accurate and efficient finite difference scheme for solving the two-dimensional (2D) wave equation. Based on the local one-dimensional (LOD) method and Padé difference approximation, a fourth-order accuracy explicit compact difference scheme is proposed. Then, the Fourier analysis method is used to analyze the stability of the scheme, which shows that the new scheme is conditionally stable and the Courant-Friedrichs-Lewy (CFL) condition is superior to most existing methods of equivalent order of accuracy in the literature. Finally, numerical experiments demonstrate the high accuracy, stability, and efficiency of the proposed method.