ON TWO METHODS OF SOLVING EIGEN VALUE PROBLEM FOR A SET OF SECONDORDER DIFFERENTIAL EQUATIONS OF THE MULTIDIMENSIONAL ANGULAR COULUMB FUNCTIONS METHOD
A. I. Golubev, V. M. Povyshev, A. A. Sadovoy, M. K. Sarayeva VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1987. Вып.2. С. 5763.
Two numerical methods are proposed for solving eigen/value problem for a set of secondorder ordinary differential equations arising when the method of multidimensional angular Coulomb functions is used in multielectron atom theory. In Galerkin method using all particular solution limitations the solution of lower eigen/values is reduced to nonlinear algebraic equation solution. In the Sturm distribution method a set of linear algebraic equations is solved numerically to derive eigen/values and eigen vectors. Numerical results are supplied illustrating convergence of both methods.
