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

Author

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

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.

Suggested Citation

  • Soltanian, F. & Karbassi, S.M. & Hosseini, M.M., 2009. "Application of He’s variational iteration method for solution of differential-algebraic equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 436-445.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:436-445
    DOI: 10.1016/j.chaos.2008.02.004
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    References listed on IDEAS

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    1. Moghimi, Mahdi & Hejazi, Fatemeh S.A., 2007. "Variational iteration method for solving generalized Burger–Fisher and Burger equations," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1756-1761.
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