A VBCM-RBF based meshless method for large deflection of thin plates

This paper investigates the problem of large deflection of thin plates depicted by the Berger equation and presents a meshless method based on the virtual boundary collocation method (VBCM) and radial basis functions (RBF). Firstly, we convert Berger equation to a linear fourth-order iterative equation, then the approximation solution can be obtained by VBCM and RBF, hence the problem is solved by the iterated collocation method. Finally, some numerical examples are given. Numerical results have proven that our method is more efficient and performs better than the local boundary integral equation (LBIE) method.