An Analysis of Analytic and Approximate Solutions of the Nonlinear Foam-Drainage Equation and Its Applications
| dc.contributor.author | Inc, Mustafa | |
| dc.contributor.author | Yusuf, Abdullahi | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Aliyu, Aliyu Isa | |
| dc.date.accessioned | 2020-03-26T07:12:19Z | |
| dc.date.accessioned | 2025-09-18T16:08:13Z | |
| dc.date.available | 2020-03-26T07:12:19Z | |
| dc.date.available | 2025-09-18T16:08:13Z | |
| dc.date.issued | 2018 | |
| dc.description.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. | en_US |
| dc.identifier.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) | en_US |
| dc.identifier.doi | 10.1166/jcsmd.2018.1161 | |
| dc.identifier.issn | 2330-152X | |
| dc.identifier.issn | 2330-1538 | |
| dc.identifier.uri | https://doi.org/10.1166/jcsmd.2018.1161 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14975 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer Scientific Publishers | en_US |
| dc.relation.ispartof | Journal of Coupled Systems and Multiscale Dynamics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Modified Kudryashov Method | en_US |
| dc.subject | Riccati-Bernoulli Sub-Ode Method | en_US |
| dc.subject | Residual Power Series Method | en_US |
| dc.title | An Analysis of Analytic and Approximate Solutions of the Nonlinear Foam-Drainage Equation and Its Applications | en_US |
| dc.title | An Analysis of Analytic and Approximate Solutions of the Nonlinear Foam-Drainage Equation and İts Applications | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Aliyu, Aliyu/L-3765-2017 | |
| gdc.author.wosid | Yusuf, Abdullahi/L-9956-2018 | |
| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi] Firat Univ, Sci Fac, Dept Math, TR-2300 Elazig, Turkey; [Aliyu, Aliyu Isa; Yusuf, Abdullahi] Fed Univ Dutse, Fac Sci, Dept Math, Jigawa 7156, Nigeria; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-0610 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 3798, Romania | en_US |
| gdc.description.endpage | 183 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 176 | en_US |
| gdc.description.volume | 6 | en_US |
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| gdc.virtual.author | Baleanu, Dumitru | |
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