Efficiency of semi-analytic technique for solving singular Eigen value problemswith boundary conditions

Abstract EN

-This paper proposes a semi-analytic technique to solve the second order singular eigenvalue problems for ordinary differential equation with boundary conditions using oscillator interpolation.

The technique finds the eigenvalue and the corresponding nonzero eigenvector which represent the solution of the equation in a certain domain.

Illustrative examples are presented, which confirm the theoretical predictions provided to demonstrate the efficiency and accuracy of the proposed method where the suggested solution compared with other methods.Also, proposed a new formula developed to estimate the error help reduce the accounts process and show the results are improved.

The existing bvp code suite designed for the solution of boundary value problems was extended with a module for the computation of eigenvalues and eigen functions.