A singularly perturbed model problem for numerical computation
نویسندگان
چکیده
منابع مشابه
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
متن کاملNumerical Approximation of a Singularly Perturbed Contact Problem
As a simpliied model for contact problems, we study a mixed Neumann-Robin boundary value problem for the Laplace operator in a smooth domain in R 2. The Robin condition contains a small parameter " inducing boundary layers of corner type at the transition points as proved in 4]. We present an integral equation for the numerical solution of this problem together with estimates of the error. We i...
متن کاملA Parameter Uniform Numerical Scheme for Singularly Perturbed Differential-difference Equations with Mixed Shifts
In this paper, we consider a second-order singularly perturbed differential-difference equations with mixed delay and advance parameters. At first, we approximate the model problem by an upwind finite difference scheme on a Shishkin mesh. We know that the upwind scheme is stable and its solution is oscillation free, but it gives lower order of accuracy. So, to increase the convergence, we propo...
متن کاملNumerical method for a system of second order singularly perturbed turning point problems
In this paper, a parameter uniform numerical method based on Shishkin mesh is suggested to solve a system of second order singularly perturbed differential equations with a turning point exhibiting boundary layers. It is assumed that both equations have a turning point at the same point. An appropriate piecewise uniform mesh is considered and a classical finite difference scheme is applied on t...
متن کاملA Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem
The purpose of this paper is to present a uniform finite difference method for numerical solution of nonlinear singularly perturbed convection-diffusion problem with nonlocal and third type boundary conditions. The numerical method is constructed on piecewise uniform Shishkin type mesh. The method is shown to be convergent, uniformly in the diffusion parameter ε, of first order in the discrete ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1996
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(96)00113-6