Numerical Solution of Some Non-Linear Eigenvalue Differential Equations by Finite Difference-Self Consistent Field Method

The finite difference-self consistent field iteration is presented to solve some non-linear eigenvalue differential equations‎.Some properties of the self consistent field iteration and finite difference methods required for our subsequent development are given‎. ‎Numerical examples are included to demonstrate the validity and applicability of the present technique. A comparison is also made with the existing results‎. ‎The method is easy to implement and yields accurate results‎.‎‎

Keywords:

Non-linear eigenvalue differential equation , Finite difference method , Self consistent field iteration