COMPARISON BETWEEN HOMOTOPY PERTURBATION, HOMOTOPY ANALYSIS AND ADOMIAN DECOMPOSITION METHODS FOR SOLVING THE BENNEY-LIN EQUATION

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HESAMEDDINI ESMAIL; Mirzayi Morteza

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2012 | Issue:43

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Title

COMPARISON BETWEEN HOMOTOPY PERTURBATION, HOMOTOPY ANALYSIS AND ADOMIAN DECOMPOSITION METHODS FOR SOLVING THE BENNEY-LIN EQUATION

Author(s)

HESAMEDDINI ESMAIL | Mirzayi Morteza | Issue Writer Certificate

Keywords

BENNEY-LIN EQUATION

HOMOTOPY PERTURBATION METHOD

HOMOTOPY ANALYSIS METHOD

ADOMIAN DECOMPOSITION METHOD

Abstract

THIS ARTICLE APPLIES THE HOMOTOPY PERTURBATION (HPM), HOMOTOPY ANALYSIS (HAM) AND ADOMIAN DECOMPOSITION METHODS (ADM) TO OBTAIN APPROXIMATE ANALYTICAL SOLUTIONS OF THE BENNEY-LIN EQUATION. THE COMPARISON BETWEEN THE SOLUTIONS OF THIS PROBLEM WILL BE DEMONSTRATED BY THESE THREE METHODS. GRAPHICAL REPRESENTATION SHOWS THAT THESE THREE METHODS ARE MOST EFFECTIVE, ACCURATE AND CONVENIENT TO SOLVE THIS PROBLEM.

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APA: Copy

HESAMEDDINI, ESMAIL, & Mirzayi, Morteza. (2012). COMPARISON BETWEEN HOMOTOPY PERTURBATION, HOMOTOPY ANALYSIS AND ADOMIAN DECOMPOSITION METHODS FOR SOLVING THE BENNEY-LIN EQUATION. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/926542/en

Vancouver: Copy

HESAMEDDINI ESMAIL, Mirzayi Morteza. COMPARISON BETWEEN HOMOTOPY PERTURBATION, HOMOTOPY ANALYSIS AND ADOMIAN DECOMPOSITION METHODS FOR SOLVING THE BENNEY-LIN EQUATION. 2012. Available from: https://sid.ir/paper/926542/en

IEEE: Copy

ESMAIL HESAMEDDINI, and Morteza Mirzayi, “COMPARISON BETWEEN HOMOTOPY PERTURBATION, HOMOTOPY ANALYSIS AND ADOMIAN DECOMPOSITION METHODS FOR SOLVING THE BENNEY-LIN EQUATION,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2012, [Online]. Available: https://sid.ir/paper/926542/en

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