%0 Journal Article %T A numerical method for KdV equation using rational radial basis functions %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Shiralizadeh, Mansour %A AliPanah, Amjad %A Mohammadi, Maryam %D 2023 %\ 04/01/2023 %V 11 %N 2 %P 303-318 %! A numerical method for KdV equation using rational radial basis functions %K KdV equation %K RBF %K rational radial basis function method %K Runge-Kutta method %R 10.22034/cmde.2022.51967.2171 %X In this paper, we use the rational radial basis functions ( RRBFs) method to solve the Korteweg-de Vries (KdV) equation, particularly when the equation has a solution with steep front or sharp gradients. We approximate the spatial derivatives by RRBFs method then we apply an explicit fourth-order Runge-Kutta method to advance the resulting semi-discrete system in time. Numerical examples show that the presented scheme preserves the conservation laws and the results obtained from this method are in good agreement with analytical solutions.  %U https://cmde.tabrizu.ac.ir/article_15500_a836ec06443e749fe92e9f3da7d0080e.pdf