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Authors
Affiliations
1 Dept. of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IR
Source
Indian Journal of Science and Technology, Vol 3, No 9 (2010), Pagination: 990-993
Abstract
In this paper, the variational iteration method is applied to solve mth-order boundary value problems. Using this method we only need to apply an iteration to obtain solutions of remarkable accuracy. By giving 3 examples and by comparing the obtained result with the exact solution, the efficiency of the method will be shown.
Keywords
Variational, Iteration, Boundary-value Problems
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References
- He Ji-Huan (1997) A new approach to nonlinear partial differential quations. Commun. Non-linear Sci. 2, 230- 235.
- He Ji-Huan (1998) Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comp. Methods Appl. Mech. Engg. 167(1-2), 57-68.
- He Ji-Huan (1999) Variational iteration method-A kind of non-linear analytical technique: some eg. Int. J. Non-linear Mech. 34, 699-708.
- He Ji-Huan (2000) Variational iteration method for autonomous ordinary differential systems. Appl. Math. Comp. 114, 115-123.
- He Ji-Huan (2006) Homotopy perturbation method for solving boundary value problems. Phy. Letts. A. 350, 87–88.
- He Ji-Huan (2007) The variational iteration method for eighth-order initial-boundary value problems. Phy. Scripta. 76, 680-682.
- Inokuti et al. (1978) General use of the lagrange multiplier in non-linear mathematical physics. In: Variational method in the mechanics of solids. Nemat-Nasser S (Ed.), Pergamon press, Oxford. pp: 156-162.
- Mestrovic M (2007) The modified decomposition method for eight-order boundary value problems. Appl. Math. Comp. 188, 1437-1444.
- Muhammad AN and Tauseef MS (2007) An effecint algorithm for solving fifth- order boundary value problems. Math. Comp. Model. 45, 954-964.
- Siddiqi SS and Akram G (2008) Septic spline solutions of sixth-order boundary value problems. J. Comp. Appl. Math. 215, 288-301.
- Xu Lan (2007) The variational iteration method for fourth order boundary value problems. Chaos Solitons & Fractals. doi:10.1016/j.chaos. 6.013.
