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Article
Challenge in the variational iteration method-a new approach to identification of the Lagrange multipliers
Journal of King Saud University (Science) (2012)
  • Guo-Cheng Wu, Neijiang Normal University
Abstract
This is an invited paper. The variational iteration method has been one of the most often used analytical methods in the past ten years. However, the success of the method mainly depends upon accurate identifications of the Lagrange multipliers. This study suggests a universal way to identify the multiplier which is a simple but effective approach by implementing Laplace transform. The Adomian series and the Pade technique are also employed to accelerate the convergence of the variational iteration algorithm. An example is given to elucidate the solution process and reliability of the solution.
Keywords
  • Variational iteration method,
  • Laplace Adomian Pade Method,
  • Lagrange mutipliers
Publication Date
Winter December 13, 2012
Citation Information
Guo-Cheng Wu. "Challenge in the variational iteration method-a new approach to identification of the Lagrange multipliers" Journal of King Saud University (Science) (2012)
Available at: http://works.bepress.com/gcwu/3/