Solving the BBMB Equation in Shallow Water Waves via Space-Time MQ-RBF Collocation
Guardado en:
| Publicado en: | Computer Modeling in Engineering & Sciences vol. 144, no. 3 (2025), p. 3419-3433 |
|---|---|
| Autor principal: | |
| Otros Autores: | , , , |
| Publicado: |
Tech Science Press
|
| Materias: | |
| Acceso en línea: | Citation/Abstract Full Text - PDF |
| Etiquetas: |
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
MARC
| LEADER | 00000nab a2200000uu 4500 | ||
|---|---|---|---|
| 001 | 3259841127 | ||
| 003 | UK-CbPIL | ||
| 022 | |a 1526-1492 | ||
| 022 | |a 1526-1506 | ||
| 024 | 7 | |a 10.32604/cmes.2025.070791 |2 doi | |
| 035 | |a 3259841127 | ||
| 045 | 2 | |b d20250101 |b d20251231 | |
| 100 | 1 | |a Ma, Hongwei |u College of Civil Science and Engineering, Yangzhou University, Yangzhou, 225127, China | |
| 245 | 1 | |a Solving the BBMB Equation in Shallow Water Waves via Space-Time MQ-RBF Collocation | |
| 260 | |b Tech Science Press |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a 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. | |
| 653 | |a Shallow water | ||
| 653 | |a Mathematical analysis | ||
| 653 | |a Radial basis function | ||
| 653 | |a Meshless methods | ||
| 653 | |a Water waves | ||
| 653 | |a Collocation methods | ||
| 653 | |a Applied mathematics | ||
| 653 | |a Partial differential equations | ||
| 653 | |a Science | ||
| 653 | |a Numerical analysis | ||
| 653 | |a Spacetime | ||
| 653 | |a Engineering | ||
| 653 | |a Methods | ||
| 653 | |a Finite element analysis | ||
| 653 | |a Boundary conditions | ||
| 700 | 1 | |a Tian, Yingqian |u School of Mathematics and Statistics, Huaibei Normal University, Huaibei, 235000, China | |
| 700 | 1 | |a Wang, Fuzhang |u Institute of Data Science and Engineering, Xuzhou University of Technology, Xuzhou, 221018, China | |
| 700 | 1 | |a Quanfu Lou |u Department of Mathematics, Nanchang Normal College of Applied Technology, Nanchang, 330108, China | |
| 700 | 1 | |a Yu, Lijuan |u Department of Mathematics, Nanchang Normal College of Applied Technology, Nanchang, 330108, China | |
| 773 | 0 | |t Computer Modeling in Engineering & Sciences |g vol. 144, no. 3 (2025), p. 3419-3433 | |
| 786 | 0 | |d ProQuest |t Advanced Technologies & Aerospace Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3259841127/abstract/embedded/Q8Z64E4HU3OH5N8U?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3259841127/fulltextPDF/embedded/Q8Z64E4HU3OH5N8U?source=fedsrch |