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Analytical-numerical investigation of a singular boundary value problem for a generalized Emden–Fowler equation

✍ Scribed by P.M. Lima; L. Morgado

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
622 KB
Volume
229
Category
Article
ISSN
0377-0427

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✦ Synopsis

method Degenerate laplacian a b s t r a c t

In this paper we are concerned about a singular boundary value problem for a quasilinear second-order ordinary differential equation, involving the one-dimensional p-laplacian.

Asymptotic expansions of the one-parameter families of solutions, satisfying the prescribed boundary conditions, are obtained in the neighborhood of the singular points and this enables us to compute numerical solutions using stable shooting methods.

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## Abstract For a nonlinear diffusion equation with a singular Neumann boundary condition, we devise a difference scheme which represents faithfully the properties of the original continuous boundary value problem. We use non‐uniform mesh in order to adequately represent the spatial behavior of the