Computer Algebra Solving of First Order ODEs Using Symmetry Methods
E. S. Cheb-Terrab, L. G. S. Duarte, L. A. C. P. da Mota
Abstract
A set of Maple V R.3/4 computer algebra routines for the analytical solving of 1st. order ODEs, using Lie group symmetry methods, is presented. The set of commands includes a 1st. order ODE-solver and routines for, among other things: the explicit determination of the coefficients of the infinitesimal symmetry generator; the construction of the most general invariant 1st. order ODE under given symmetries; the determination of the canonical coordinates of the underlying invariant group; and the testing of the returned results.
Create a lesson
Related papers
Gravitational-Wave Constraints on R2 Gravity
Pawan Kumar Gupta, Laura Sagunski
Axial black hole perturbations in purely-metric Horndeski theories
Héloïse Delaporte, Hugo Roussille
Inflationary attractors in metric-affine gravity
Ilaria Andrei, Christian Dioguardi
Born-Infeld black holes in bumblebee gravity
A. A. Araújo Filho, E. M. Siquieri, N. Heidari et al.
Quasi-equilibrium tidal folds of white dwarfs around rotating black holes in shift-symmetric Einstein--scalar--Gauss--Bonnet gravity
Shoupan Liu, Meilin Liu, Yu Wang et al.
Dipolar boson stars as static two-body systems: an effective-one-body description
Thibault Damour, Romain Gervalle, Tamanna Jain