Execution of novel explicit RKARMS(4,4) technique in determining initial configurations of extra-solar protoplanets formed by disk instability
Implementation of a novel embedded Runge–Kutta fourth order four stage arithmetic root mean square technique to determine initial configurations of extra-solar protoplanets formed by gravitational instability is the main goal of this present paper. A general mathematical framework for the introdu...
| Main Authors: | , |
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| Format: | Article |
| Published: |
Elsevier
2016
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| Online Access: | http://eprints.usm.my/36948/ |
| _version_ | 1848878054014713856 |
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| author | Paul, Gour Chandra Senthilkumar, Sukumar |
| author_facet | Paul, Gour Chandra Senthilkumar, Sukumar |
| author_sort | Paul, Gour Chandra |
| building | USM Institutional Repository |
| collection | Online Access |
| description | Implementation of a novel embedded Runge–Kutta fourth order four stage arithmetic
root mean square technique to determine initial configurations of extra-solar protoplanets formed
by gravitational instability is the main goal of this present paper. A general mathematical framework
for the introduced numerical technique is described in addition to error estimation description.
It is noticed that the numerical outputs through the employed novel RKARMS(4,4)
method are found to be more effective and efficient in comparison with the results obtained by
the classical Runge–Kutta technique. |
| first_indexed | 2025-11-15T17:25:14Z |
| format | Article |
| id | usm-36948 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T17:25:14Z |
| publishDate | 2016 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-369482017-10-05T04:28:49Z http://eprints.usm.my/36948/ Execution of novel explicit RKARMS(4,4) technique in determining initial configurations of extra-solar protoplanets formed by disk instability Paul, Gour Chandra Senthilkumar, Sukumar QA1-939 Mathematics Implementation of a novel embedded Runge–Kutta fourth order four stage arithmetic root mean square technique to determine initial configurations of extra-solar protoplanets formed by gravitational instability is the main goal of this present paper. A general mathematical framework for the introduced numerical technique is described in addition to error estimation description. It is noticed that the numerical outputs through the employed novel RKARMS(4,4) method are found to be more effective and efficient in comparison with the results obtained by the classical Runge–Kutta technique. Elsevier 2016-06 Article PeerReviewed Paul, Gour Chandra and Senthilkumar, Sukumar (2016) Execution of novel explicit RKARMS(4,4) technique in determining initial configurations of extra-solar protoplanets formed by disk instability. NRIAG Journal of Astronomy and Geophysics, 5 (1). pp. 1-8. ISSN 2090-9977 https://doi.org/10.1016/j.nrjag.2015.11.004 |
| spellingShingle | QA1-939 Mathematics Paul, Gour Chandra Senthilkumar, Sukumar Execution of novel explicit RKARMS(4,4) technique in determining initial configurations of extra-solar protoplanets formed by disk instability |
| title | Execution of novel explicit RKARMS(4,4) technique in determining initial configurations of extra-solar protoplanets formed by disk instability |
| title_full | Execution of novel explicit RKARMS(4,4) technique in determining initial configurations of extra-solar protoplanets formed by disk instability |
| title_fullStr | Execution of novel explicit RKARMS(4,4) technique in determining initial configurations of extra-solar protoplanets formed by disk instability |
| title_full_unstemmed | Execution of novel explicit RKARMS(4,4) technique in determining initial configurations of extra-solar protoplanets formed by disk instability |
| title_short | Execution of novel explicit RKARMS(4,4) technique in determining initial configurations of extra-solar protoplanets formed by disk instability |
| title_sort | execution of novel explicit rkarms(4,4) technique in determining initial configurations of extra-solar protoplanets formed by disk instability |
| topic | QA1-939 Mathematics |
| url | http://eprints.usm.my/36948/ http://eprints.usm.my/36948/ |