Numerical solution of 3-feather rose coefficient in bivariate Schrodinger equation by rectangular FEM

Abstract

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 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.

Keywords

• rectangular and bilinear finite elements
• schrodinger equation
• 3 feather rose form potential
• variable schrodinger coefficient
• galerkin method