NUMERICAL SOLUTION OF SAWADA-KOTERA EQUATION BY USING ITERATIVE METHODS

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SADIGH BEHZADI SH.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2012 | Volume:4 | Issue:3 Page(s): 269-288

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Information Journal Paper

Title

NUMERICAL SOLUTION OF SAWADA-KOTERA EQUATION BY USING ITERATIVE METHODS

Author(s)

SADIGH BEHZADI SH. | Issue Writer Certificate

Keywords

SAWADA-KOTERA EQUATIONQ2

ADOMIAN DECOMPOSITION METHODQ2

MODIFIED ADOMIAN DECOMPOSITION METHODQ2

VARIATIONAL ITERATION METHOD (VIM)Q2

MODIFIED VARIATIONAL ITERATION METHODQ2

HOMOTOPY PERTURBATION METHODQ2

MODIFIED HOMOTOPY PERTURBATION METHODQ2

HOMOTOPY ANALYSIS METHODQ2

Abstract

In this paper, the SAWADA-KOTERA EQUATION is solved by using the Adomian’s decomposition method, modified Adomian’s decomposition method, variational iteration method, MODIFIED VARIATIONAL ITERATION METHOD, HOMOTOPY PERTURBATION METHOD, modified HOMOTOPY PERTURBATION METHOD and HOMOTOPY ANALYSIS METHOD. The approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. The existence and uniqueness of the solution 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.. (2012). NUMERICAL SOLUTION OF SAWADA-KOTERA EQUATION BY USING ITERATIVE METHODS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 4(3), 269-288. SID. https://sid.ir/paper/231783/en

Vancouver: Copy

SADIGH BEHZADI SH.. NUMERICAL SOLUTION OF SAWADA-KOTERA EQUATION BY USING ITERATIVE METHODS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2012;4(3):269-288. Available from: https://sid.ir/paper/231783/en

IEEE: Copy

SH. SADIGH BEHZADI, “NUMERICAL SOLUTION OF SAWADA-KOTERA EQUATION BY USING ITERATIVE METHODS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 4, no. 3, pp. 269–288, 2012, [Online]. Available: https://sid.ir/paper/231783/en

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