Uniformly Convergent Approximation On Special Meshes
tarafından
Bingöl, Özgür
Başlık
:
Uniformly Convergent Approximation On Special Meshes
Yazar
:
Bingöl, Özgür
Yazar Ek Girişi
:
Bingöl, Özgür
Yayın Bilgileri
:
[s.l.]: [s.n.], 2007.
Fiziksel Tanımlama
:
vii, 71 leaves.: ill. + 1 computer laser optical disc.
Özet
:
We consider finite difference methods for the approximation of one-dimensional convection-diffusion problem with a small parameter multiplying the diffusion term. An analysis of the centered difference and upwind difference schemes on equidistant meshes shows that these methods are not uniformly convergent in the discrete maximum norm. However, we show that the upwind method over a set of suitably distributed mesh points produce uniformly convergent approximations in the discrete maximum norm. We further investigate the upwind difference method for the approximation of the convection-diffusion problem with a point source. Theoretical findings are supported with the numerical results.
Konu Başlığı
:
Differential equations.
Numerical solutions.
Yazar Ek Girişi
:
Neslitürk, Ali İhsan
Tüzel Kişi Ek Girişi
:
İzmir Institute of Technology. Mathematics.
Tek Biçim Eser Adı
:
Thesis (Master)--İzmir Institute of Technology: Mathematics.
İzmir Institute of Technology: Mathematics--Thesis (Master).
Elektronik Erişim
:
Library | Materyal Türü | Demirbaş Numarası | Yer Numarası | Durumu/İade Tarihi |
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IYTE Library | Tez | T000649 | QA372.B61 2007 | Tez Koleksiyonu |