Uniform difference method for a parameterized singular perturbation problem

doi:10.1016/j.amc.2005.07.068

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Uniform difference method for a parameterized singular perturbation problem

2006-04-01

PRE

Gabil M. Amiraliyev *

Mustafa Kudu

Hakkı Duru

DOI：10.1016/j.amc.2005.07.068

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Abstract

En 中文

We consider a uniform finite difference method on a B-mesh is applied to solve a singularly perturbed quasilinear boundary value problem (BVP) depending on a parameter. We give a uniform first-order error estimates in a discrete maximum norm. Numerical results are presented that demonstrate the sharpness of our theoretical analysis. (c) 2005 Elsevier Inc. All rights reserved.

Keywords:

parameterized problem

singular perturbation

uniform convergence

finite difference scheme

B-mesh