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Variational iteration method for Sturm–Liouville differential equations

✍ Scribed by D. Altıntan; Ö. Uğur

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
391 KB
Volume
58
Category
Article
ISSN
0898-1221

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✦ Synopsis

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.

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