Numerical investigations to design a novel model based on the fifth order system of Emden–Fowler equations
The aim of the present study is to design a new fifth order system of Emden–Fowler equations and related four types of the model. The standard second order form of the Emden–Fowler has been used to obtain the new model. The shape factor that appear more than one time discussed in detail for every ca...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-07-01
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| Series: | Theoretical and Applied Mechanics Letters |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2095034920300623 |
| _version_ | 1818277428788723712 |
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| author | Zulqurnain Sabir Mehmet Giyas Sakar Manshuk Yeskindirova Onur Saldir |
| author_facet | Zulqurnain Sabir Mehmet Giyas Sakar Manshuk Yeskindirova Onur Saldir |
| author_sort | Zulqurnain Sabir |
| collection | DOAJ |
| description | The aim of the present study is to design a new fifth order system of Emden–Fowler equations and related four types of the model. The standard second order form of the Emden–Fowler has been used to obtain the new model. The shape factor that appear more than one time discussed in detail for every case of the designed model. The singularity at η = 0 at one point or multiple points is also discussed at each type of the model. For validation and correctness of the new designed model, one example of each type based on system of fifth order Emden–Fowler equations are provided and numerical solutions of the designed equations of each type have been obtained by using variational iteration scheme. The comparison of the exact results and present numerical outcomes for solving one problem of each type is presented to check the accuracy of the designed model. |
| first_indexed | 2024-12-12T23:01:23Z |
| format | Article |
| id | doaj.art-40eea412261f41bdbc4e3e6147275cc5 |
| institution | Directory Open Access Journal |
| issn | 2095-0349 |
| language | English |
| last_indexed | 2024-12-12T23:01:23Z |
| publishDate | 2020-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Theoretical and Applied Mechanics Letters |
| spelling | doaj.art-40eea412261f41bdbc4e3e6147275cc52022-12-22T00:08:49ZengElsevierTheoretical and Applied Mechanics Letters2095-03492020-07-01105333342Numerical investigations to design a novel model based on the fifth order system of Emden–Fowler equationsZulqurnain Sabir0Mehmet Giyas Sakar1Manshuk Yeskindirova2Onur Saldir3Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan; Corresponding authorDepartment of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van, TurkeyDepartment of Translation Theory and Practice, L. N. Gumilyov Eurasian National University, KazakhstanDepartment of Mathematics and Statistics, Hazara University, Mansehra, PakistanThe aim of the present study is to design a new fifth order system of Emden–Fowler equations and related four types of the model. The standard second order form of the Emden–Fowler has been used to obtain the new model. The shape factor that appear more than one time discussed in detail for every case of the designed model. The singularity at η = 0 at one point or multiple points is also discussed at each type of the model. For validation and correctness of the new designed model, one example of each type based on system of fifth order Emden–Fowler equations are provided and numerical solutions of the designed equations of each type have been obtained by using variational iteration scheme. The comparison of the exact results and present numerical outcomes for solving one problem of each type is presented to check the accuracy of the designed model.http://www.sciencedirect.com/science/article/pii/S2095034920300623Fifth order Emden–Fowler systemMultiple singularityShape factorNumerical experimentationsVariational iteration scheme |
| spellingShingle | Zulqurnain Sabir Mehmet Giyas Sakar Manshuk Yeskindirova Onur Saldir Numerical investigations to design a novel model based on the fifth order system of Emden–Fowler equations Theoretical and Applied Mechanics Letters Fifth order Emden–Fowler system Multiple singularity Shape factor Numerical experimentations Variational iteration scheme |
| title | Numerical investigations to design a novel model based on the fifth order system of Emden–Fowler equations |
| title_full | Numerical investigations to design a novel model based on the fifth order system of Emden–Fowler equations |
| title_fullStr | Numerical investigations to design a novel model based on the fifth order system of Emden–Fowler equations |
| title_full_unstemmed | Numerical investigations to design a novel model based on the fifth order system of Emden–Fowler equations |
| title_short | Numerical investigations to design a novel model based on the fifth order system of Emden–Fowler equations |
| title_sort | numerical investigations to design a novel model based on the fifth order system of emden fowler equations |
| topic | Fifth order Emden–Fowler system Multiple singularity Shape factor Numerical experimentations Variational iteration scheme |
| url | http://www.sciencedirect.com/science/article/pii/S2095034920300623 |
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