Solving protoplanetary structure equations using Adomian decomposition method
Gour Chandra Paul,
Shahinur Khatun,
Md. Nuruzzaman,
Dipankar Kumar,
Md. Emran Ali,
Farjana Bilkis,
Mrinal Chandra Barman
Affiliations
Gour Chandra Paul
Department of Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh; Corresponding author.
Shahinur Khatun
Department of Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh
Md. Nuruzzaman
Department of Mathematics, Rajshahi University of Engineering and Technology, Rajshahi 6204, Bangladesh
Dipankar Kumar
Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj 8100, Bangladesh
Md. Emran Ali
Department of Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh; Department of Textile Engineering, Northern University Bangladesh, Dhaka 1230, Bangladesh
Farjana Bilkis
Department of Science and Humanities, Bangladesh Army International University of Science and Technology, Cumilla 3501, Bangladesh
Mrinal Chandra Barman
Department of Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh; Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail 1902, Bangladesh
In this paper, the distribution of thermodynamic variables in the protoplanets formed by gravitational instability in the mass range 0.3−10MJ (1MJ=1 Jupiter mass = 1.8986×1030 gm) is investigated in their initial state by solving the structure equations via the Adomian decomposition method. Concerning the heat transfer in the protoplanets, the mode of convection is taken into account. The outcomes indicate that there is a reasonably good agreement between the Adomian semi-analytical solution containing only first 8 terms and the numerical results.
