Work

A Conservative and Compact Finite Difference Scheme for the Sixth-Order Boussinesq Equation with Surface Tension

Year: 2024

Type: article

Abstract: In this study, we propose a conservative and compact finite difference scheme designed to preserve both the mass change rate and energy for solving the sixth-order Boussinesq equation with surface tension. Theoretical analysis confirms that the proposed scheme achieves second-order accuracy in temporal discretization and fourth-order accuracy in spatial discretization. The solvability, convergence, and stability of the difference scheme are rigorously established through the application of the discrete energy method. Additionally, a series of numerical experiments are conducted to illustrate the effectiveness and reliability of the conservative scheme for long-time simulations.

Source: Mathematical and Computational Applications

DOI: 10.3390/mca29060112

Authors: Xiaofeng Wang, Weizhong Dai, Anjan Biswas

Institutions: Minnan Normal University, Louisiana Tech University, Grambling State University, Sefako Makgatho Health Sciences University, "Dunarea de Jos" University of Galati

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,591

OpenAlex ID: W4404854567

FWCI: 0.402

Cites: 36

Cited by: 2

Related to: 10