Meshless thin plate spline methods for the modified Helmholtz equation

In this paper, we investigate the application of the meshless radial basis function method for solving the Helmholtz equation using thin plate splines. We use a meshless method mixed with a boundary and a fundamental solution methods. The numerical computation is achieved by using the generalized minimal residual (GMRES), the least-square (LSQR) methods associated with Tikhonov regularization.