Numerical treatment of a quasilinear initial value problem with boundary layer
Yükleniyor...
Tarih
2016
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The paper deals with the singularly perturbed quasilinear initial value problem exhibiting initial layer. First the nature of solution of differential problem before presenting method for its numerical solution is discussed. The numerical solution of the problem is performed with the use of a finite-fitted difference scheme on an appropriate piecewise uniform mesh (Shishkin-type mesh). An error analysis shows that the method is first-order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. Finally, numerical results supporting the theory are presented.
Açıklama
Cimen, Erkan/0000-0002-7258-192X
WOS: 000382333700004
WOS: 000382333700004
Anahtar Kelimeler
singular perturbation, exponentially fitted difference scheme, Shishkin mesh, initial layer, uniformly convergence
Kaynak
International Journal Of Computer Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
93
Sayı
11
