EXACT SOLUTIONS OF POISSON EQUATION BY USING VARIATIONAL ITERATION AND ADOMIAN DECOMPOSITION METHODS

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BIAZAR J.; GHOLAMIN P.; HOSSEINI K.

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Journal: Journal of Operational Research in its Applications Year:2006 | Volume:3 | Issue:10 Page(s): 11-19

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Title

EXACT SOLUTIONS OF POISSON EQUATION BY USING VARIATIONAL ITERATION AND ADOMIAN DECOMPOSITION METHODS

Author(s)

BIAZAR J. | GHOLAMIN P. | HOSSEINI K. | Issue Writer Certificate

Keywords

POISSON EQUATION

VARIATIONAL ITERATION METHOD

ADOMIAN DECOMPOSITION METHOD

Abstract

In this article, we implement VARIATIONAL ITERATION METHOD (VIM) and ADOMIAN DECOMPOSITION METHOD (ADM) for finding exact solutions of POISSON EQUATION with Dirichlet or Neumann boundary conditions. To illustrate the simplicity and reliability of the methods, three examples are provided. The results obtained by VIM are compared with those of ADM, and then the ability of each method is also discussed.

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APA: Copy

BIAZAR, J., GHOLAMIN, P., & HOSSEINI, K.. (2006). EXACT SOLUTIONS OF POISSON EQUATION BY USING VARIATIONAL ITERATION AND ADOMIAN DECOMPOSITION METHODS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 3(10), 11-19. SID. https://sid.ir/paper/557625/en

Vancouver: Copy

BIAZAR J., GHOLAMIN P., HOSSEINI K.. EXACT SOLUTIONS OF POISSON EQUATION BY USING VARIATIONAL ITERATION AND ADOMIAN DECOMPOSITION METHODS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2006;3(10):11-19. Available from: https://sid.ir/paper/557625/en

IEEE: Copy

J. BIAZAR, P. GHOLAMIN, and K. HOSSEINI, “EXACT SOLUTIONS OF POISSON EQUATION BY USING VARIATIONAL ITERATION AND ADOMIAN DECOMPOSITION METHODS,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 3, no. 10, pp. 11–19, 2006, [Online]. Available: https://sid.ir/paper/557625/en

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