A note on a parameterized singular perturbation problem

AMIRALIYEV G., Duru H.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.182, sa.1, ss.233-242, 2005 (SCI-Expanded) identifier identifier

Özet

We consider a uniform finite difference method on Shishkin mesh for a quasilinear first-order singularly perturbed boundary value problem (BVP) depending on a parameter. We prove that the method is first-order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. Numerical experiments support these theoretical results. (c) 2004 Elsevier B.V All rights reserved.

We consider a uniform finite difference method on Shishkin mesh for a quasilinear first-order singularly perturbed boundary value problem (BVP) depending on a parameter. We prove that the method is first-order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. Numerical experiments support these theoretical results.