NUMERICAL SOLUTION OF KLEIN-GORDON EQUATION BY USING THE ADOMIAN’S DECOMPOSITION AND VARIATIONAL ITERATIVE METHODS

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SADIGH BEHZADI SH.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2011 | Volume:3 | Issue:2 Page(s): 79-89

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Title

NUMERICAL SOLUTION OF KLEIN-GORDON EQUATION BY USING THE ADOMIAN’S DECOMPOSITION AND VARIATIONAL ITERATIVE METHODS

Author(s)

SADIGH BEHZADI SH. | Issue Writer Certificate

Keywords

KLEIN-GORDON EQUATION

ADOMIAN DECOMPOSITION METHOD (ADM)

MODIFIED ADOMIAN DECOMPOSITION METHOD (MADM)

VARIATIONAL ITERATION METHOD (VIM)

MODIFIED VARIATIONAL ITERA-TION METHOD (MVIM)

Abstract

In this paper, a KLEIN-GORDON EQUATION is solved by using the Adomian’s decomposition method, variational iteration method and modified form of these methods. The approxi-mate solution of this equation is calculated in the form of series in which its components are computed by applying a recursive relation. The existence and uniqueness of the so-lution and the convergence of the proposed methods are proved. A numerical example is studied to demonstrate the accuracy of the presented methods.

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APA: Copy

SADIGH BEHZADI, SH.. (2011). NUMERICAL SOLUTION OF KLEIN-GORDON EQUATION BY USING THE ADOMIAN’S DECOMPOSITION AND VARIATIONAL ITERATIVE METHODS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 3(2), 79-89. SID. https://sid.ir/paper/584998/en

Vancouver: Copy

SADIGH BEHZADI SH.. NUMERICAL SOLUTION OF KLEIN-GORDON EQUATION BY USING THE ADOMIAN’S DECOMPOSITION AND VARIATIONAL ITERATIVE METHODS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2011;3(2):79-89. Available from: https://sid.ir/paper/584998/en

IEEE: Copy

SH. SADIGH BEHZADI, “NUMERICAL SOLUTION OF KLEIN-GORDON EQUATION BY USING THE ADOMIAN’S DECOMPOSITION AND VARIATIONAL ITERATIVE METHODS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 3, no. 2, pp. 79–89, 2011, [Online]. Available: https://sid.ir/paper/584998/en

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