Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics
نویسندگان
چکیده
منابع مشابه
Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics
We discuss the numerical treatment of a nonlinear second order boundary value problem in ordinary differential equations posed on an unbounded domain which represents the density profile equation for the description of the formation of microscopical bubbles in a non-homogeneous fluid. For an efficient numerical solution the problem is transformed to a finite interval and polynomial collocation ...
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Analytical properties of a nonlinear singular second order boundary value problem in ordinary differential equations posed on an unbounded domain for the density profile of the formation of microscopic bubbles in a nonhomogeneous fluid are discussed. Especially, sufficient conditions for the existence of solutions are derived. Two computational methods, a shooting and a collocation method, are ...
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ژورنال
عنوان ژورنال: Journal of Scientific Computing
سال: 2007
ISSN: 0885-7474,1573-7691
DOI: 10.1007/s10915-007-9141-0