Fitted finite difference method for singularly perturbed delay differential equations
[ X ]
Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper deals with singularly perturbed initial value problem for linear second-order delay differential equation. An exponentially fitted difference scheme is constructed in an equidistant mesh, which gives first order uniform convergence in the discrete maximum norm. The difference scheme is shown to be uniformly convergent to the continuous solution with respect to the perturbation parameter. A numerical example is solved using the presented method and compared the computed result with exact solution of the problem.
Açıklama
Anahtar Kelimeler
Delay differential equation, Singular perturbation, Exponentially fitted difference scheme, Uniformly convergent, Error estimates
Kaynak
Numerical Algorithms
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
59
Sayı
1
