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The multistage variational iteration method for a class of nonlinear system of ODEs

B Batiha et al 2007 Phys. Scr. 76 388-392   doi: 10.1088/0031-8949/76/4/018  Help

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B Batiha, M S M Noorani, I Hashim and E S Ismail
School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia
E-mail: ishak_h@ukm.my

Abstract. This paper implements the multistage variational iteration method (MVIM) to solve a class of nonlinear system of first-order ordinary differential equations (ODEs). The domain of validity of the solutions via the standard variational iteration method (VIM) is extended by the simple multistage strategy. Comparisons with the exact solution and the fourth-order Runge–Kutta (RK4) method show that the MVIM is a reliable method for nonlinear equations.

PACS numbers: 02.30.Hq, 02.30.Mv, 02.60.Cb

Print publication: Issue 4 (October 2007)
Received 24 January 2007, accepted for publication 16 August 2007
Published 14 September 2007

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