Variational iteration method for Sturm-Liouville differential equations

Date

2009-07-01

Author

ALTINTAN, DERYA
Uğur, Ömür

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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

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Citation Formats

D. ALTINTAN and Ö. Uğur, “Variational iteration method for Sturm-Liouville differential equations,” COMPUTERS & MATHEMATICS WITH APPLICATIONS, pp. 322–328, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/29958.