Benito Muñoz, Juan J.García, ÁngelNegreanu, MihaelaUreña, FranciscoVargas Ureña, Antonio Manuel2025-01-102025-01-102023-08J.J. Benito, A. García, L. Gavete, M. Negreanu, F. Ureña, A.M. Vargas (2023), Two finite difference methods for solving the Zakharov–Kuznetsov-Modified Equal-Width equation, Engineering Analysis with Boundary Elements Volume 153, Pages 213-225. https://doi.org/10.1016/j.enganabound.2023.05.0030955-7997 | eISSN 1873-197Xhttps://doi.org/10.1016/j.enganabound.2023.05.003https://hdl.handle.net/20.500.14468/25182This is a Submitted Manuscript of an article published by Elsevier in "Engineering Analysis with Boundary Elements, 153, 213-225", available at: https://doi.org/10.1016/j.enganabound.2023.05.003Este es el manuscrito enviado del artículo publicado por Elsevier en "Engineering Analysis with Boundary Elements, 153, 213-225", disponible en línea: https://doi.org/10.1016/j.enganabound.2023.05.003We derive the implementation of two meshless methods, the Space–Time Cloud Method and the Generalized Finite Difference Method, for solving the Zakharov–Kuznetsov-Modified Equal-Width equation, a nonlinear wave equation used to model the propagation of waves in nonuniform media. Also, we prove convergence of the GFD explicit scheme. We compare both methods in terms of accuracy and efficiency (execution times).eninfo:eu-repo/semantics/openAccess12 Matemáticasartículomeshless methodsexplicit generalized nite di erence methodnon-linear ZK-MEW equationNewton-Raphson method