APPLICATION OF HE’S VARIATIONAL ITERATION METHOD TO ABELIAN DIFFERENTIAL EQUATION

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MATINFAR M.; JAFAR NODEH S.

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Journal Paper

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Journal: Journal of Operational Research in its Applications Year:2011 | Volume:7 | Issue:4 (27) Page(s): 71-75

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Title

APPLICATION OF HE’S VARIATIONAL ITERATION METHOD TO ABELIAN DIFFERENTIAL EQUATION

Author(s)

MATINFAR M. | JAFAR NODEH S. | Issue Writer Certificate

Keywords

VARIATIONAL ITERATION METHOD

ABELIAN DIFFERENTIAL EQUATION

GENERAL LAGRANGE MULTIPLIER

CORRECTION FUNCTIONAL

Abstract

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.

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APA: Copy

MATINFAR, M., & JAFAR NODEH, S.. (2011). APPLICATION OF HE’S VARIATIONAL ITERATION METHOD TO ABELIAN DIFFERENTIAL EQUATION. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 7(4 (27)), 71-75. SID. https://sid.ir/paper/565668/en

Vancouver: Copy

MATINFAR M., JAFAR NODEH S.. APPLICATION OF HE’S VARIATIONAL ITERATION METHOD TO ABELIAN DIFFERENTIAL EQUATION. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2011;7(4 (27)):71-75. Available from: https://sid.ir/paper/565668/en

IEEE: Copy

M. MATINFAR, and S. JAFAR NODEH, “APPLICATION OF HE’S VARIATIONAL ITERATION METHOD TO ABELIAN DIFFERENTIAL EQUATION,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 7, no. 4 (27), pp. 71–75, 2011, [Online]. Available: https://sid.ir/paper/565668/en

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