Application of He’s variational iteration method for solution of differential-algebraic equations

F. Soltanian, S.M. Karbassi and M.M. Hosseini

Chaos, Solitons & Fractals, 2009, vol. 41, issue 1, 436-445

Abstract: In this paper, He’s variational iteration method is applied for finding the solution of linear and nonlinear differential-algebraic equations. First an index reduction technique is implemented for semi-explicit and Hessenberg differential-algebraic equations, then a correction functional is constructed by a general Lagrange multiplier, which can be identified via variational theory. This technique provides a sequence of functions which converges to the exact solution of the problem. The scheme is tested for some high index differential-algebraic equations and the results demonstrate reliability and efficiency of the proposed method.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:1:p:436-445

DOI: 10.1016/j.chaos.2008.02.004

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