Back to Search
Start Over
The use of He's variational iteration method for solving variational problems.
- Source :
-
International Journal of Computer Mathematics . May2010, Vol. 87 Issue 6, p1299-1314. 16p. 2 Charts, 2 Graphs. - Publication Year :
- 2010
-
Abstract
- In this paper, the variational iteration method is implemented to give approximate solution of the Euler-Lagrange, Euler-Poisson and Euler-Ostrogradsky equations as ordinary (or partial) differential equations which arise from the variational problems. In this method, general Lagrange multipliers are introduced to construct correction functional for the variational problems. The multipliers in the functionals can be identified optimally via the variational theory. The initial approximations can be freely chosen with possible unknown constant, which can be determined by imposing the boundary or initial conditions. Illustrative examples are included to demonstrate the validity and applicability of the variational iteration method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 87
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 50319070
- Full Text :
- https://doi.org/10.1080/00207160802283047