New classification techniques for ordinary differential equations
نویسندگان
چکیده
منابع مشابه
[inria-00450410, v1] New classification techniques for ordinary differential equations
The goal of the present paper is to propose an enhanced ordinary differential equations solver by exploitation of the powerful equivalence method of Élie Cartan. This solver returns a target equation equivalent to the equation to be solved and the transformation realizing the equivalence. The target ODE is a member of a dictionary of ODE, that are regarded as well-known, or at least well-studie...
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متن کاملSummary: Ordinary Differential Equations
1 Initial Value Problem We are given a right hand side function f(t, y) with f : [t0, T ]×Rn → Rn and an initial value y0 ∈ Rn. We want to find a function y(t) with y : [t0, T ] → Rn such that y′(t) exists, is continuous and satisfies the initial value problem y′(t) = f (t, y(t)) , y(t0) = y0. (1) We assume that f(t, y) satisfies a Lipschitz condition with respect to y (at least for y with |y −...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2009
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2008.04.010