Open AccessA Lie group integrator to solve the hydromagnetic stagnation point flow of a second grade fluid over a stretching sheet
Author(s) -
Mir Sajjad Hashemi,
Hadi Rezazadeh,
Hassan Almusawa,
Hijaz Ahmad
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021775
Subject(s) - stagnation point , integrator , flow (mathematics) , convergence (economics) , group (periodic table) , point (geometry) , mathematics , lie group , stagnation pressure , mathematical analysis , physics , mechanics , geometry , voltage , quantum mechanics , heat transfer , mach number , economics , economic growth
In the present paper, a Lie-group integrator, based on $ GL(4, \mathbb{R}) $ has been newly constructed to consider the flow characteristics in an electrically conducting second grade fluid over a stretching sheet. Present method which have a very fast convergence, permits us to explore some missing initial values at the left-end. Accurate initial values can be achieved when the determined target equation is valid, and then we can apply the group preserving scheme (GPS) as a geometric approach to obtain a rather accurate numerical solution. Finally, effects of magnetic parameter, viscoelastic parameter, stagnation point flow and stretching of the sheet parameters are illustrated.