A numerical method for solving the two-dimensional ZK-BBM equation

The purpose of the current investigation is to determine numerical solution of the twodimensional ZK-BBM equation by using thin plate splines radial basis function. This scheme is similar to a finite difference methods that solve the two dimensional ZK-BBM equation by using collocation points and approximating the solution using thin plate splines radial basis function. To confirm the good accuracy of the presented scheme, we compare the results of numerical experiment with analytical solution.