Approximate Solutions To the Conformable Rosenau-Hyman Equation Using the Two-Step Adomian Decomposition Method With Pade Approximation
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Average
Popularity
Top 10%
Abstract
This paper adopts the Adomian decomposition method and the Pade approximation techniques to derive the approximate solutions of a conformable Rosenau-Hyman equation by considering the new definition of the Adomian polynomials. The Pade approximate solutions are derived along with interesting figures showing both the analytic and approximate solutions.
Description
Inc, Mustafa/0000-0003-4996-8373; Isa Aliyu, Aliyu/0000-0002-9756-7374; Yusuf, Abdullahi/0000-0002-8308-7943
Keywords
Adomian Decomposition Method, Conformable Rosenau-Hyman Equation, Pade Approximation, Adomian decomposition method, Pade approximation, conformable Rosenau-Hyman equation, Explicit solutions, first integrals of ordinary differential equations, Fractional ordinary differential equations, Padé approximation, Theoretical approximation of solutions to ordinary differential equations
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Akgul, Ali...et al. (2019). "Approximate solutions to the conformable Rosenau-Hyman equation using the two-step Adomian decomposition method with Pade approximation", Mathematical Methods in the Applied Sciences.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
15
Source
Mathematical Methods in the Applied Sciences
Volume
43
Issue
13
Start Page
7632
End Page
7639
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Citations
CrossRef : 10
Scopus : 16
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