A second-order difference scheme for a parameterized singular perturbation problem

Authors:
Zhongdi Cen
Affiliations:
Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100, Zhejiang, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

Citing 4
Cited 0

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Abstract

In this paper we consider a singularly perturbed quasilinear boundary value problem depending on a parameter. The problem is discretized using a hybrid difference scheme on Shishkin-type meshes. We show that the scheme is second-order convergent, in the discrete maximum norm, independent of singular perturbation parameter. Numerical experiments support these theoretical results.