Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632543 | Applied Mathematics and Computation | 2009 | 13 Pages |
Abstract
We consider the problem of reconstructing an even polynomial potential from one set of spectral data of a Sturm-Liouville problem. We show that we can recover an even polynomial of degree 2m from m+1 given Taylor coefficients of the characteristic function whose zeros are the eigenvalues of one spectrum. The idea here is to represent the solution as a power series and identify the unknown coefficients from the characteristic function. We then compute these coefficients by solving a nonlinear algebraic system, and provide numerical examples at the end. Because of its algebraic nature, the method applies also to non self-adjoint problems.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Amin Boumenir,