On the implementation of novel RKARMS(4,4) algorithm to study the structures of initial extrasolar giant protoplanets.

Applied mathematics Astrophysics Computational mathematics Extrasolar protoplanets Instability Planetary sciences RKARMS(4,4) algorithm Thermodynamic variables Truncation errors

Journal

Heliyon
ISSN: 2405-8440
Titre abrégé: Heliyon
Pays: England
ID NLM: 101672560

Informations de publication

Date de publication:
Jan 2020
Historique:
received: 08 12 2018
revised: 16 06 2019
accepted: 12 11 2019
entrez: 8 1 2020
pubmed: 8 1 2020
medline: 8 1 2020
Statut: epublish

Résumé

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.

Identifiants

pubmed: 31909234
doi: 10.1016/j.heliyon.2019.e02865
pii: S2405-8440(19)36524-7
pii: e02865
pmc: PMC6940641
doi:

Types de publication

Journal Article

Langues

eng

Pagination

e02865

Informations de copyright

© 2019 The Author(s).

Références

Science. 2002 Nov 29;298(5599):1756-9
pubmed: 12459581

Auteurs

Gour Chandra Paul (G)

Department of Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh.

Sukumar Senthilkumar (S)

Universiti Sains Malaysia, School of Mathematical Sciences, Pulau Pinang 11800, Pinang, Malaysia.

Hafijur Rahman (H)

Department of Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh.

Classifications MeSH