Numerical solution of ۳-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 ۳ feather rose coefficient function in a rectangular domain i. e., eigenfunctions or solutions. In fact, we search for influence of ۳-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.

Keywords:

Rectangular and bilinear finite elements , Schrodinger equation , ۳ feather rose form potential , Variable Schrodinger coefficient , Galerkin method