Finite difference solution of a singular boundary value problem for the p-Laplace operator |
| |
Authors: | M Luísa Morgado Pedro Miguel Lima |
| |
Institution: | 1. CEMAT, Instituto Superior Técnico, UTL, 1049-001, Lisboa, Portugal 2. Departamento de Matemática, Universidade de Trás-os-Montes e Alto Douro, Apartado 1013, 5000-311, Vila Real, Portugal
|
| |
Abstract: | We are concerned about a singular boundary value problem for a second order nonlinear ordinary differential equation. The differential operator of this equation is the radial part of the so-called N-dimensional p-Laplacian (where p?>?1), which reduces to the classical Laplacian when p?=?2. We introduce a finite difference method to obtain a numerical solution and, in order to improve the accuracy of this method, we use a smoothing variable substitution that takes into account the behavior of the solution in the neighborhood of the singular points. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|