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Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain

Year: 2025

Type: article

Abstract: ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic convergence order in time. Numerical simulations and tables are displayed to illustrate the convergence order in both time and space for different types of moving boundaries. These results justify the consistency between theoretical analysis and numerical simulations, validating the precision, stability, and applicability of the proposed numerical method.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.70192

Authors: Vania Cristina Machado, Bruno Alves do Carmo, Mauro Antonio Rincon

Institutions: Universidade Federal do Rio de Janeiro, Universidade Federal Rural do Rio de Janeiro

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $5,000

OpenAlex ID: W4415183832

FWCI:

Cites: 22

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