Numerical methods for singular boundary value problems involving the p‐laplacian

In this work, we are concerned about a singular boundary value problem for a nonlinear ordinary differential equation involving the N‐dimensional p‐laplacian. This equation may be considered as a generalized Emden‐Fowler equation and arises in models of fluid mechanics, elasticity theory and other fields of physics. The main feature of the considered boundary value problem is that it has two singularities at the endpoints of the considered interval. We analyze the asymptotic behavior of the solutions near these singularities and propose computational methods that take this behavior into consideration. Numerical examples are presented and dicussed.