An efficient local meshless method for the equal width equation in fluid mechanics

• Published in: Engineering analysis with boundary elements Vol. 131; pp. 258 - 268
• Main Authors: Rasoulizadeh, M.N., Ebadi, M.J., Avazzadeh, Z., Nikan, O.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.10.2021
• Subjects: Equal width equation; Fusion of solitary wave; Local RBF-FD method; Radial basis functions (RBF); Undular bore; Local RBF-FD method; Undular bore; Fusion of solitary wave; Equal width equation; Radial basis functions (RBF)

This paper proposes an accurate and robust meshless approach for the numerical solution of the nonlinear equal width equation. The numerical technique is applied for approximating the spatial variable derivatives of the model based on the localized radial basis function-finite difference (RBF-FD) me...