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

B Batiha, M S M Noorani, I Hashim and E S Ismail

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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

02.60.Lj Ordinary and partial differential equations; boundary value problems

02.30.Hq Ordinary differential equations

02.30.Xx Calculus of variations

Subjects

Mathematical physics

Computational physics

Dates

Issue 4 (October 2007)

Received 24 January 2007, accepted for publication 16 August 2007

Published 14 September 2007



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