Volume 7, Issue 4 (1-2011)                   jor 2011, 7(4): 71-75 | Back to browse issues page

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Application of He’s Variational Iteration Method to Abelian Differential Equation. jor 2011; 7 (4) :71-75
URL: http://jamlu.liau.ac.ir/article-1-185-en.html
Application of He’s Variational Iteration Method to Abelian Differential Equation
Abstract:   (7435 Views)
In this paper, He’s variational iteration method (VIM) is used to obtain approximate analytical solutions of the Abelian differential equation. This method is based on Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method creates a sequence which tends to the exact solution of problem. The method is capable of reducing the size of calculation and easily overcomes the difficulty of the perturbation technique or Adomian polynomials. The results reveal that VIM is very effective and simple.
Keywords: Variational Iteration Method, Abelian Differential Equation, General Lagrange Multiplier, Correction Functional.
Full-Text [DOC 159 kb]   (3526 Downloads)    
Type of Study: Research | Subject: Special
Received: 2011/05/17 | Published: 2011/01/15
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