A sinc-method computation for eigenvalues of Schrodinger operators with eigenparameter-dependent boundary conditions

作者：Annaby M H; Tharwat M M^*

来源：Calcolo, 2017, 54(1): 23-41.

DOI：10.1007/s10092-016-0174-3

• Eigenvalue problem with eigenparameter in the boundary conditions
• sinc methods
• truncation and amplitude errors

We implement the sinc method to compute the eigenvalues of a second order boundary value problem with mixed type boundary conditions where the eigenparameter appears linearly in the boundary conditions. We investigate the behavior of the solutions as well as the characteristic determinant via successive iterations. The method is implemented by splitting the characteristic determinant into two parts, where it is proved that the unknown one lies in a Paley-Wiener space and it is approximated by an interpolation sampling theorem. Examples are illustrated numerically and graphically.

• 出版日期2017-3