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Abdolali Neamaty Hosseinabady

Abdolali Neamaty Hosseinabady

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address: Department Of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Phone: 01135302460

Research

Title
Solving inverse Sturm–Liouville problem with separated boundary conditions by using two different input data
Type
JournalPaper
Keywords
Inverse problem; SL operator; eigenvalues; nodes; Chebyshev polynomials
Year
2017
Journal INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
DOI
Researchers Abdolali Neamaty Hosseinabady ، SHAHRBANOO AKBARPOOR, ، EMRAH YILMAZ

Abstract

In this study, we consider Sturm–Liouville (SL) equation under the separated boundary conditions on a finite interval. We get the approximate solutions of inverse SL problem by using different input data as eigenvalues and nodes (zeros of eigenfunctions), separately, and calculate the computed errors related to the obtained approximate solutions. To calculate the approximate solutions, we use Chebyshev interpolation technique by applying first kind of Chebyshev polynomials. Eventually, the numerical results are presented by providing some examples.