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Solving differential-algebraic equations through variational iteration method with an auxiliary parameter

机译:带有辅助参数的变分迭代法求解微分代数方程

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摘要

In this study, we consider the importance of an auxiliary parameter, which is introduced into the well-known variational iteration method to obtain solutions for differential-algebraic equations. We study the convergence of the proposed method, which is called the variational iteration method with an auxiliary parameter. In addition, the proposed method is applied to two differential-algebraic equations to elucidate the solution procedure and to select the optimal auxiliary parameter. Comparisons with the results obtained by the standard variational iteration method demonstrate that the auxiliary parameter is highly effective in controlling the convergence region of the approximate solution.
机译:在这项研究中,我们考虑了辅助参数的重要性,该参数被引入到众所周知的变分迭代方法中以​​获得微分代数方程的解。我们研究了该方法的收敛性,该方法称为带有辅助参数的变分迭代方法。此外,该方法被应用于两个微分代数方程,以阐明求解过程并选择最佳辅助参数。与标准变分迭代方法获得的结果进行比较表明,辅助参数在控制近似解的收敛区域方面非常有效。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2016年第6期|3991-4001|共11页
  • 作者

    H. Ghaneai; M.M. Hosseini;

  • 作者单位

    Young Researchers and Elite Club, Islamic Azad University, Ashkezar Branch, Ashkezar, P.O. Box 8941613695, Iran,Faculty of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, Iran;

    Faculty of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, Iran,Department of Applied Mathematics, Faculty of mathematics and Computer, Shahid Bahonar University of Kerman, P.O. Box 76169-14171, Kerman, Iran;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Auxiliary parameter; Differential-algebraic equations; Variational iteration method;

    机译:辅助参数微分代数方程;变分迭代法;

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