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A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves
Author(s) -
Kumar Devendra,
Singh Jagdev,
Baleanu Dumitru
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4414
Subject(s) - homotopy analysis method , mathematics , laplace transform , convergence (economics) , homotopy , mathematical analysis , series (stratigraphy) , acoustic wave equation , fractional calculus , acoustic wave , physics , acoustics , pure mathematics , paleontology , economics , biology , economic growth
The key purpose of the present work is to constitute a numerical scheme based on q ‐homotopy analysis transform method to examine the fractional model of regularized long‐wave equation. The regularized long‐wave equation explains the shallow water waves and ion acoustic waves in plasma. The proposed technique is a mixture of q ‐homotopy analysis method, Laplace transform, and homotopy polynomials. The convergence analysis of the suggested scheme is verified. The scheme provides ℏ and n ‐curves, which show that the range convergence of series solution is not a local point effects and elucidate that it is superior to homotopy analysis method and other analytical approaches. Copyright © 2017 John Wiley & Sons, Ltd.