Finite Pointset Method for biharmonic equations

Finite pointset method is one of the grid free methods that is used to solve differential equations arising from physical problems. It is a local iterative procedure based on weighted least square approximation technique. In this paper, biharmonic equation with simply supported, clamped and Cahn-Hilliard type boundary conditions, is solved using the finite pointset method. Numerical examples illustrate the efficiency of the method.