Reduction of Order for Systems of Ordinary Differential Equations
نویسندگان
چکیده
منابع مشابه
Reduction of Order for Systems of Ordinary Differential Equations
The classical reduction of order for scalar ordinary differential equations (ODEs) fails for a system of ODEs. We prove a constructive result for the reduction of order for a system of ODEs that admits a solvable Lie algebra of point symmetries. Applications are given for the case of a system of two second-order ODEs which admits a solvable four-dimensional Lie algebra of point symmetries.
متن کاملUn-Reduction of Systems of Second-Order Ordinary Differential Equations
In this paper we consider an alternative approach to “un-reduction”. This is the process where one associates to a Lagrangian system on a manifold a dynamical system on a principal bundle over that manifold, in such a way that solutions project. We show that, when written in terms of second-order ordinary differential equations (SODEs), one may associate to the first system a (what we have call...
متن کاملNumerical method for singularly perturbed fourth order ordinary differential equations of convection-diffusion type
In this paper, we have proposed a numerical method for singularly perturbed fourth order ordinary differential equations of convection-diffusion type. The numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and finite difference method. In order to get a numerical solution for the derivative of the solution, the given interval is divided in...
متن کاملOrder Ordinary Differential Equations
The DI methods for directly solving a system ofa general higher order ODEs are discussed. The convergence of the constant stepsize and constant order formulation of the DI methods is proven first before the convergencefor the variable order and stepsize case.
متن کاملMatrix Reduction Techniques for Ordinary Differential Equations in Chemical Systems
3 Proposed Techniques – An Overview 4 3.1 Matrix Reductions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.1.1 Global Threshold Reduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.1.2 Local Threshold Reduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.1.3 Michaelis-Menten Reduction . . . . . . . . . . . . . . . . . . . . . . . ....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2004
ISSN: 1776-0852
DOI: 10.2991/jnmp.2004.11.1.3