Variational Estimation Methods for Sturm–Liouville Problems

Elena Corina Cipu () and Cosmin Dănuţ Barbu
Additional contact information
Elena Corina Cipu: Department of Applied Mathematics, University Politehnica of Bucharest, Spl. Independentei, No. 313, RO-060042 Bucharest, Romania
Cosmin Dănuţ Barbu: Department of Applied Mathematics, University Politehnica of Bucharest, Spl. Independentei, No. 313, RO-060042 Bucharest, Romania

Mathematics, 2022, vol. 10, issue 20, 1-18

Abstract: In this paper, we are concerned with approach solutions for Sturm–Liouville problems (SLP) using variational problem (VP) formulation of regular SLP. The minimization problem (MP) is also set forth, and the connection between the solution of each formulation is then proved. Variational estimations (the variational equation associated through the Euler–Lagrange variational principle and Nehari’s method, shooting method and bisection method) and iterative variational methods (He’s method and HPM) for regular RSL are unitary presented in final part of the paper, which ends with applications.

Keywords: BVP nonlinear problems; variational methods; estimating nonlinearities; Green function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/20/3728/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/20/3728/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:20:p:3728-:d:938794

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().