Nonlinear ordinary differential equations in fluid dynamics
نویسندگان
چکیده
منابع مشابه
Nonlinear Ordinary Differential Equations
Most physical processes are modeled by differential equations. First order ordinary differential equations, also known as dynamical systems, arise in a wide range of applications, including population dynamics, mechanical systems, planetary motion, ecology, chemical diffusion, etc., etc. See [19, 72,ODES] for additional material and applications. The goal of this chapter is to study and solve i...
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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: American Journal of Physics
سال: 2011
ISSN: 0002-9505,1943-2909
DOI: 10.1119/1.3636635