Abstract:

A new meshless method is introduced based on ridge basis functions and collocation method. This method is a truly meshless technique without

 mesh discretization. The existence and uniqueness of the solution of elliptic equations with the meshless method is given. According to numerical

 example and analysis, it is seen that the method  is feasible.

Key words: meshless method; ridge basis functions; collocation method; the existence and uniqueness of the solution