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Solving the BBMB Equation in Shallow Water Waves via Space-Time MQ-RBF Collocation

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Udgivet i:Computer Modeling in Engineering & Sciences vol. 144, no. 3 (2025), p. 3419-3433
Hovedforfatter: Ma, Hongwei
Andre forfattere: Tian, Yingqian, Wang, Fuzhang, Quanfu Lou, Yu, Lijuan
Udgivet:
Tech Science Press
Fag:
Shallow water
Mathematical analysis
Radial basis function
Meshless methods
Water waves
Collocation methods
Applied mathematics
Partial differential equations
Science
Numerical analysis
Spacetime
Engineering
Methods
Finite element analysis
Boundary conditions
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Resumen:This study introduces a novel single-layer meshless method, the space-time collocation method based on multiquadric-radial basis functions (MQ-RBF), for solving the Benjamin-Bona-Mahony-Burgers (BBMB) equation. By reconstructing the time variable as a space variable, this method establishes a combined space-time structure that can eliminate the two-step computational process required in traditional grid methods. By introducing shape parameter-optimized MQ-RBF, high-precision discretization of the nonlinear, dispersive, and dissipative terms in the BBMB equation is achieved. The numerical experiment section validates the effectiveness of the proposed method through three benchmark examples. This method shows significant advantages in computational efficiency, providing a new numerical tool for engineering applications in fields such as shallow water wave dynamics.
ISSN:1526-1492
1526-1506
DOI:10.32604/cmes.2025.070791
Fuente:Advanced Technologies & Aerospace Database