An RBF-Based Algorithm for Analysis and Simulation of KdV Model
Abstract
The primary objective of this study is to present the local radial basis function (RBF)-finite difference method with a goal to solve Korteweg–de Vries (KdV) model with dual power law nonlinearity. First, Crank–Nicolson difference scheme is applied for time derivative and the local RBF collocation method is utilized to estimate the spatial derivatives. Also, the stability and convergence of KdV model is analyzed in [Formula: see text] and [Formula: see text] spaces. This approach is effective and has minimal computational cost. Four instances are provided that illustrate the accuracy of the presented method and found efficient results.
Fields of Study & Subjects
Numerical methods in engineering
Nonlinear Waves and Solitons
Numerical methods for differential equations
Publication details
- Journal / source
- International Journal of Computational Methods
- Volume
- 23
- Issue
- 08
- Publication date
- 30 January 2026
- Language
- EN