An Analysis of Analytic and Approximate Solutions of the Nonlinear Foam-Drainage Equation and İts Applications
No Thumbnail Available
Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Scientific Publishers
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
In this study, the modified Kudryashov and Riccati-Bernoulli (sub-ODE) methods are applied to construct some analytical solutions of the nonlinear Foam-drainage equation which plays an important part in the formation and evolution of liquid foams. Kink type, singular and logarithmic function solutions are obtained. Then, the residual power series method (RPSM) is used to analyze the numerical behavior of the equation by considering all the exact solutions. We observed that the modified Kudryashov and Riccati Bernoulli sub-ODE methods are powerful techniques for finding the exact solutions to various nonlinear models. Also, the RPSM is efficient for examining numerical behavior of nonlinear models. Some interesting figures are shown to show the reliability of the methods.
Description
Keywords
Modified Kudryashov Method, Riccati-Bernoulli Sub-Ode Method, Residual Power Series Method
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru, "
An analysis of analytic and approximate solutions of the nonlinear foam-drainage equation and its applications", Journal of Coupled Systems and Multiscale Dynamics, Vol. 6, No. 3, pp. 176-186, (2018)
WoS Q
N/A
Scopus Q
N/A
Source
Volume
6
Issue
3
Start Page
176
End Page
183