A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem
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Tarih
2010
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hindawi Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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 epsilon, of first order in the discrete maximum norm. Some numerical experiments illustrate in practice the result of convergence proved theoretically.
Açıklama
Anahtar Kelimeler
Difference Scheme, Positive Solutions, Parameter, Meshes
Kaynak
Journal of Applied Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
