On the implementation of novel RKARMS(4,4) algorithm to study the structures of initial extrasolar giant protoplanets
The main motivation and novel notion of this present communication is to implement the recently suggested fourth order with four stages embedded RKARMS(4,4) algorithm to examine its efficiency in reinvesting the structures of extrasolar protoplanets formed via disk instability which being presented...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-01-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844019365247 |
| _version_ | 1818909037425590272 |
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| author | Gour Chandra Paul Sukumar Senthilkumar Hafijur Rahman |
| author_facet | Gour Chandra Paul Sukumar Senthilkumar Hafijur Rahman |
| author_sort | Gour Chandra Paul |
| collection | DOAJ |
| description | The main motivation and novel notion of this present communication is to implement the recently suggested fourth order with four stages embedded RKARMS(4,4) algorithm to examine its efficiency in reinvesting the structures of extrasolar protoplanets formed via disk instability which being presented in Paul et al. [1] (G.C. Paul, M.M. Rahman, D. Kumar, M.C. Barman, the radius spectrum of solid grains settling in gaseous giant protoplanets, Earth Sci. Inform. 6 (2013) 137–144) for the case of convective heat transfer using classical Runge-Kutta (RK) technique of order four. The results by the RKARMS(4,4) algorithm compared well with those obtained by the classical RK method of order four for any time length and found to be more suitable. |
| first_indexed | 2024-12-19T22:20:32Z |
| format | Article |
| id | doaj.art-30d070ce0c66452b8cee4ecb3be67b20 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-12-19T22:20:32Z |
| publishDate | 2020-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-30d070ce0c66452b8cee4ecb3be67b202022-12-21T20:03:38ZengElsevierHeliyon2405-84402020-01-0161e02865On the implementation of novel RKARMS(4,4) algorithm to study the structures of initial extrasolar giant protoplanetsGour Chandra Paul0Sukumar Senthilkumar1Hafijur Rahman2Department of Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh; Corresponding author.Universiti Sains Malaysia, School of Mathematical Sciences, Pulau Pinang 11800, Pinang, MalaysiaDepartment of Mathematics, University of Rajshahi, Rajshahi 6205, BangladeshThe main motivation and novel notion of this present communication is to implement the recently suggested fourth order with four stages embedded RKARMS(4,4) algorithm to examine its efficiency in reinvesting the structures of extrasolar protoplanets formed via disk instability which being presented in Paul et al. [1] (G.C. Paul, M.M. Rahman, D. Kumar, M.C. Barman, the radius spectrum of solid grains settling in gaseous giant protoplanets, Earth Sci. Inform. 6 (2013) 137–144) for the case of convective heat transfer using classical Runge-Kutta (RK) technique of order four. The results by the RKARMS(4,4) algorithm compared well with those obtained by the classical RK method of order four for any time length and found to be more suitable.http://www.sciencedirect.com/science/article/pii/S2405844019365247Applied mathematicsAstrophysicsComputational mathematicsPlanetary sciencesExtrasolar protoplanetsInstability |
| spellingShingle | Gour Chandra Paul Sukumar Senthilkumar Hafijur Rahman On the implementation of novel RKARMS(4,4) algorithm to study the structures of initial extrasolar giant protoplanets Heliyon Applied mathematics Astrophysics Computational mathematics Planetary sciences Extrasolar protoplanets Instability |
| title | On the implementation of novel RKARMS(4,4) algorithm to study the structures of initial extrasolar giant protoplanets |
| title_full | On the implementation of novel RKARMS(4,4) algorithm to study the structures of initial extrasolar giant protoplanets |
| title_fullStr | On the implementation of novel RKARMS(4,4) algorithm to study the structures of initial extrasolar giant protoplanets |
| title_full_unstemmed | On the implementation of novel RKARMS(4,4) algorithm to study the structures of initial extrasolar giant protoplanets |
| title_short | On the implementation of novel RKARMS(4,4) algorithm to study the structures of initial extrasolar giant protoplanets |
| title_sort | on the implementation of novel rkarms 4 4 algorithm to study the structures of initial extrasolar giant protoplanets |
| topic | Applied mathematics Astrophysics Computational mathematics Planetary sciences Extrasolar protoplanets Instability |
| url | http://www.sciencedirect.com/science/article/pii/S2405844019365247 |
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