Exploration on initial structures of extrasolar protoplanets via new explicit RKAHeM(4,4) method
In this paper, a newly proposed embedded Runge–Kutta fourth order with four stages arithmetic Heronian mean method is employed and verified in determining the distribution of thermodynamic variables inside the extra-solar protoplanets formed through gravitational instability at their initial stag...
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| Format: | Article |
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Elsevier
2015
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| Online Access: | http://eprints.usm.my/39077/ |
| _version_ | 1848878645591932928 |
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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 | In this paper, a newly proposed embedded Runge–Kutta fourth order with four stages
arithmetic Heronian mean method is employed and verified in determining the distribution of thermodynamic
variables inside the extra-solar protoplanets formed through gravitational instability at
their initial stages. In specific, the case of conduction–radiation is considered regarding the transference
of heat inside the protoplanets. A general brief theoretical framework for the proposed
numerical method is stated in addition to pseudo code followed by error estimation description.
The results based on newly proposed explicit RKAHeM(4,4) method are found to be optimal
and efficient in comparison with the ones obtained with classical fourth order Runge–Kutta
method. |
| first_indexed | 2025-11-15T17:34:38Z |
| format | Article |
| id | usm-39077 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T17:34:38Z |
| publishDate | 2015 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-390772018-02-21T06:14:50Z http://eprints.usm.my/39077/ Exploration on initial structures of extrasolar protoplanets via new explicit RKAHeM(4,4) method Paul, Gour Chandra SenthilKumar, Sukumar QA1-939 Mathematics In this paper, a newly proposed embedded Runge–Kutta fourth order with four stages arithmetic Heronian mean method is employed and verified in determining the distribution of thermodynamic variables inside the extra-solar protoplanets formed through gravitational instability at their initial stages. In specific, the case of conduction–radiation is considered regarding the transference of heat inside the protoplanets. A general brief theoretical framework for the proposed numerical method is stated in addition to pseudo code followed by error estimation description. The results based on newly proposed explicit RKAHeM(4,4) method are found to be optimal and efficient in comparison with the ones obtained with classical fourth order Runge–Kutta method. Elsevier 2015-06 Article PeerReviewed Paul, Gour Chandra and SenthilKumar, Sukumar (2015) Exploration on initial structures of extrasolar protoplanets via new explicit RKAHeM(4,4) method. Egyptian Journal of Remote Sensing and Space Sciences, 18 (1). pp. 1-8. ISSN 1110-9823 https://doi.org/10.1016/j.ejrs.2015.03.004 |
| spellingShingle | QA1-939 Mathematics Paul, Gour Chandra SenthilKumar, Sukumar Exploration on initial structures of extrasolar protoplanets via new explicit RKAHeM(4,4) method |
| title | Exploration on initial structures of extrasolar protoplanets via new explicit RKAHeM(4,4) method |
| title_full | Exploration on initial structures of extrasolar protoplanets via new explicit RKAHeM(4,4) method |
| title_fullStr | Exploration on initial structures of extrasolar protoplanets via new explicit RKAHeM(4,4) method |
| title_full_unstemmed | Exploration on initial structures of extrasolar protoplanets via new explicit RKAHeM(4,4) method |
| title_short | Exploration on initial structures of extrasolar protoplanets via new explicit RKAHeM(4,4) method |
| title_sort | exploration on initial structures of extrasolar protoplanets via new explicit rkahem(4,4) method |
| topic | QA1-939 Mathematics |
| url | http://eprints.usm.my/39077/ http://eprints.usm.my/39077/ |