Work

Combined Compact Symplectic Schemes for the Solution of Good Boussinesq Equations

Year: 2024

Type: article

Abstract: Good Boussinesq equations are considered in this work. First, we apply three combined compact schemes to approximate spatial derivatives of good Boussinesq equations. Then, three fully discrete schemes are developed based on a symplectic scheme in the time direction, which preserves the symplectic structure. Meanwhile, the convergence and conservation of the fully discrete schemes are analyzed. Finally, we present numerical experiments to confirm our theoretical analysis. Both our analysis and numerical tests indicate that the fully discrete schemes are efficient in solving the spatial derivative mixed equation.

Source: Axioms

DOI: 10.3390/axioms13090574

Authors: Zhenyu Lang, Xiuling Yin, Yanqin Liu, Zhiguo Chen, Shuxia Kong

Institutions: Shandong University of Technology, Dezhou University

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funders: Dezhou University, Natural Science Foundation of Shandong Province