Computational of eigenvalues and eigenfunctions of nonlinear differential equation by Sinc-Self-consistent method

Abstract

We combine sinc method and self-consistent method to obtain eigenvalues andeigenfunctions of a class of nonlinear differential equations. Some propertiesof sinc method and self-consistent method are given. Numerical examples aregiven to demonstrate the validity of the present method. We compare theseresults with the existing results and show that the sinc-self-consistent methodis suitable method to obtain eigenvalue and eigenfunction of equations on aninfinite domain and produces the smallest eigenvalue with the most accuracy.

Keywords

• non-linear eigenvalue differential equation
• self consistent field iteration
• sinc method
• eigenvalues