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Variational iteration method for Sturm-Liouville differential equations
Date
2009-07-01
Author
ALTINTAN, DERYA
Uğur, Ömür
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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In this article, He's variational iteration method is applied to linear Sturm-Liouville eigenvalue and boundary value problems, including the harmonic oscillator. In this method, solutions of the problems are approximated by a set of functions that may include possible constants to be determined from the boundary conditions. By computing variations, the Lagrange multipliers are derived and the generalised expressions of variational iterations are constructed. Numerical results show that the method is simple, however powerful and effective.
Subject Keywords
Variational iteration method
,
Sturm-Liouville equations
,
Eigenvalue problems
,
Boundary value problems
,
Computing variations
,
Lagrange multipliers
URI
https://hdl.handle.net/11511/29958
Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
DOI
https://doi.org/10.1016/j.camwa.2009.02.029
Collections
Graduate School of Applied Mathematics, Article
Citation Formats
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BibTeX
D. ALTINTAN and Ö. Uğur, “Variational iteration method for Sturm-Liouville differential equations,”
COMPUTERS & MATHEMATICS WITH APPLICATIONS
, vol. 58, no. 2, pp. 322–328, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/29958.