An inverse Sturm-Liouville problem with a fractional derivative Academic Article uri icon

abstract

  • In this paper, we numerically investigate an inverse problem of recovering the potential term in a fractional Sturm-Liouville problem from one spectrum. The qualitative behaviors of the eigenvalues and eigenfunctions are discussed, and numerical reconstructions of the potential with a Newton method from finite spectral data are presented. Surprisingly, it allows very satisfactory reconstructions for both smooth and discontinuous potentials, provided that the order . . (1,. 2) of fractional derivative is sufficiently away from 2. 2012 Elsevier Inc.

published proceedings

  • JOURNAL OF COMPUTATIONAL PHYSICS

author list (cited authors)

  • Jin, B., & Rundell, W.

complete list of authors

  • Jin, Bangti||Rundell, William

publication date

  • January 1, 2012 11:11 AM