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Variational Estimation Methods for Sturm–Liouville Problems.
- Source :
-
Mathematics (2227-7390) . Oct2022, Vol. 10 Issue 20, p3728-N.PAG. 18p. - Publication Year :
- 2022
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *VARIATIONAL principles
*NONLINEAR equations
*EULER-Lagrange equations
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 20
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 159914334
- Full Text :
- https://doi.org/10.3390/math10203728