An RBF-based algorithm for analysis and simulation of KdV model

The primary objective of this study is to present the local radial basis functionfinite difference method with a goal to solve Korteweg-de Vries (KdV) model with dual power law nonlinearity. Firstly, Crank-Nicolson difference scheme is applied for time derivative and the local radial basis function-collocation method is utilized to estimate the spatial derivatives. Also, the stability and convergence of KdV model is analyzed in L 2 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.