TY  - JOUR
A1  - Altundag, Hüseyin
A1  - Böckmann, Christine
A1  - Taseli, Hasan
T1  - Inverse Sturm-Liouville problems with pseudospectral methods
JF  - International journal of computer mathematics
N2  - In this paper a technique to obtain a first approximation for singular inverse Sturm-Liouville problems with a symmetrical potential is introduced. The singularity, as a result of unbounded domain (-infinity, infinity), is treated by considering numerically the asymptotic limit of the associated problem on a finite interval (-L, L). In spite of this treatment, the problem has still an ill-conditioned structure unlike the classical regular ones and needs regularization techniques. Direct computation of eigenvalues in iterative solution procedure is made by means of pseudospectral methods. A fairly detailed description of the numerical algorithm and its applications to specific examples are presented to illustrate the accuracy and convergence behaviour of the proposed approach.
KW  - 31A25
KW  - 65F18
KW  - regularization method
KW  - condition number
KW  - pseudospectral method
KW  - regular and singular inverse Sturm-Liouville problems
Y1  - 2015
U6  - https://doi.org/10.1080/00207160.2014.939646
SN  - 0020-7160
SN  - 1029-0265
VL  - 92
IS  - 7
SP  - 1373
EP  - 1384
PB  - Routledge, Taylor & Francis Group
CY  - Abingdon
ER  -