Quasilinear and quadratic singularly perturbed Neumann's problem

Quasilinear singularly perturbed problem with boundary perturbation.

A class of quasilinear singularly perturbed problems with boundary perturbation is considered. Under suitable conditions, using theory of differential inequalities we studied the asymptotic behavior of the solution for the boundary value problem.

A Global Uniformly Convergent Finite Element Method for a Quasilinear Singularly Perturbed Elliptic Problem

Experiments with a Shishkin Algorithm for a Singularly Perturbed Quasilinear Parabolic Problem with a Moving Interior Layer

In Russ. Acad. Dokl. Math., 48, 1994, 346–352, Shishkin presented a numerical algorithm for a quasilinear time dependent singularly perturbed differential equation, with an internal layer in the solution. In this paper, we implement this method and present numerical results to illustrate the convergence properties of this numerical method.

Singularly perturbed differential equations

Foreword 2

Numerical method for a Nonlinear Singularly Perturbed Interior Layer Problem

Nonlinear singularly perturbed interior layer problems are examined. Numerical results are presented for a numerical method consisting of a monotone scheme on a Shishkin mesh refined around the approximate location of the interior layer. keywords: Singular Perturbation, Shishkin mesh, Nonlinear, Interior Layer