numerical solution of 3-feather rose coefficient in bivariate schrodinger equation by rectangular fem

In this work, we approximate a typical model form of bivariate static schrödinger equation by an appropriate approach based on bilinear finite element method (fem), then we obtain the results of the pde on a new type 3 feather rose coefficient v(x, y) function in a rectangular domain i.e., eigenfunctions or solutions. in fact, we search for influence of 3-feather rose and pass by a weak singularity barrier in the origin. we also obtain approximate eigenvalues and final stiffness matrix elements. this paper is accompanied by examples of the novel schrodinger’s model.