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Approximate solutions to the conformable Rosenau‐Hyman equation using the two‐step Adomian decomposition method with Pad é approximation
Author(s) -
Akgül Ali,
Aliyu Aliyu Isa,
Inc Mustafa,
Yusuf Abdullahi,
Baleanu Dumitru
Publication year - 2019
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.5985
Subject(s) - adomian decomposition method , conformable matrix , mathematics , decomposition , decomposition method (queueing theory) , mathematical analysis , partial differential equation , discrete mathematics , ecology , physics , quantum mechanics , biology
This paper adopts the Adomian decomposition method and the Pad é approximation techniques to derive the approximate solutions of a conformable Rosenau‐Hyman equation by considering the new definition of the Adomian polynomials. The Pad é approximate solutions are derived along with interesting figures showing both the analytic and approximate solutions.