Solving an eigenvalue problem with a periodic domain using radial basis functions

A meshless method based on radial basis functions (RBFs) is proposed for solving an eigenvalue problem with a periodic domain. We compare Wendland's and Wu's compactly supported RBFs. The computational experiments examine the accuracy of the method as a result of variation in the number and layout of the original points and in addition, the shape factor. The results obtained from the method are in good agreement with the analytical solutions of the problem.