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Information Journal Paper

Title

A STUDY ON DEGASPERIS - PROCESI EQUATION BY ITERATIVE METHODS

Pages

  129-141

Keywords

ADOMIAN DECOMPOSITION METHOD (ADM)Q2
MODI ED ADOMIAN DECOMPOSITION METHOD (MADM)Q2
VARIATIONAL ITERATION METHOD (VIM)Q2
MODI ED VARIATIONAL ITERATION METHOD (MVIM)Q2
HOMOTOPY PERTURBATION METHOD (HPM)Q2
MODI ED HOMOTOPY PERTURBATION METHOD (MHPM)Q2
HOMOTOPY ANALYSIS METHOD (HAM)Q2

Abstract

 The DEGASPERIS-PROCESI EQUATION can be derived as a member of a one parameter family of asymptotic shallow water approximations to the Euler equations with the same asymptotic accuracy as that of the Camassa- Holm equation. In this paper, the DEGASPERIS-PROCESI 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 existence and uniqueness of the solution and convergence of the proposed methods are proved in details. Finally an example shows the accuracy of these methods.

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    APA: Copy

    BEHZADI, SH.S.. (2013). A STUDY ON DEGASPERIS - PROCESI EQUATION BY ITERATIVE METHODS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 5(2), 129-141. SID. https://sid.ir/paper/231727/en

    Vancouver: Copy

    BEHZADI SH.S.. A STUDY ON DEGASPERIS - PROCESI EQUATION BY ITERATIVE METHODS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2013;5(2):129-141. Available from: https://sid.ir/paper/231727/en

    IEEE: Copy

    SH.S. BEHZADI, “A STUDY ON DEGASPERIS - PROCESI EQUATION BY ITERATIVE METHODS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 5, no. 2, pp. 129–141, 2013, [Online]. Available: https://sid.ir/paper/231727/en

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