Density profile equation with p-Laplacian: Analysis and numerical simulation
نویسندگان
چکیده
منابع مشابه
Numerical Solution of the Density Profile Equation with p-Laplacians
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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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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wt t (t, x)− K (‖wx (t, ·)‖ β Lr (R))a(wx (t, x))wxx (t, x) = 0, (2) w(0, x) = 8(x), wt (0, x) = 9(x), where K is an arbitrary function, sufficiently smooth and taking only positive values; and a = a(s) behaves like |s|p−2 near s = 0. The detailed assumptions on K , r , β, and a are given in (3), (4) and Condition 1 below. For K = K (s) = c1 + c2s (c1, c2 > 0) and p = r = β = 2, we get the famo...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2013
ISSN: 0096-3003
DOI: 10.1016/j.amc.2013.09.066