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Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n, ℝ) Lie‐Group Method

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  • Chein-Shan Liu

Abstract

We derive an implicit GL(n, ℝ) Lie‐group algorithm together with the Newton iterative scheme to solve nonlinear differential algebraic equations. Four numerical examples are given to evaluate the efficiency and accuracy of the new method when comparing the computational results with the closed‐form solutions.

Suggested Citation

  • Chein-Shan Liu, 2013. "Solving Nonlinear Differential Algebraic Equations by an Implicit GL(n, ℝ) Lie‐Group Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:987905
    DOI: 10.1155/2013/987905
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    References listed on IDEAS

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    1. 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.
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